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Dr Mark Burgin

Vice-President for Publications of IS4SI

Brief Biography: Dr. Mark Burgin received his M.A. and Ph.D. in mathematics from Moscow State University and Doctor of Science in logic and philosophy from the National Academy of Sciences of Ukraine.

Dr. Mark Burgin received his M.A. and Ph.D. in mathematics from Moscow State University, which was one of the best universities in the world at that time, and Doctor of Science (DSc) in logic and philosophy from the National Academy of Sciences of Ukraine.

He was a Visiting Professor at UCLA, Professor at the Institute of Education, Kiev, Ukraine; at International Solomon University, Kiev, Ukraine; at Kiev State University, Ukraine; the Head of the Assessment Laboratory in the Research Center of Science at the National Academy of Sciences of Ukraine and the Chief Scientist at Institute of Psychology, Kiev. Currently he is affiliated with UCLA, USA.

Dr. Burgin is a member of the New York Academy of Sciences, a Senior Member of IEEE and an Honorary Professor of the Aerospace Academy of Ukraine.

Dr. Burgin is a member of the Science Advisory Committee at Science of Information Institute, Washington.

Dr. Burgin was the Chair of the IEEE San Fernando Valley Computer and Communication Chapter.

He was the Editor-in-Chief of the international journal Integration and international journal Information also being an Editor and Member of Editorial Boards of more than 18 journals.

He was a member of Program, Organizational and Scientific Committees in more than 100 international conferences, congresses and symposia as well as the chief organizer of some of them such as Symposia “Theoretical Information Studies”, “Evolutionary Computation and Processes of Life”, and “Creativity in Education”.

Dr. Burgin is doing research, has publications, and taught courses in various areas of mathematics, information sciences, artificial intelligence, computer science, philosophy, system theory, logic, epistemology, psychology, social sciences, and methodology of science. He originated such theories as the general theory of information, theory of named sets, mathematical theory of schemas, theory of oracles, hyperprobability theory, system theory of time, theory of non-Dophantine arithmetics and neoclassical analysis (in mathematics) making essential contributions to such fields as human creativity, theory of knowledge, theory of algorithms and computation, theory of intellectual activity, and complexity studies. He was the first to discover Non-Diophantine arithmetics, the first to axiomatize and build mathematical foundations for negative probability used in physics, finance and economics, and the first to explicitly overcome the barrier posed by the Church-Turing Thesis.

Dr. Burgin has authorized and co-authorized more than 500 papers and 21 books, including:

  1. “Semitopological Vector Spaces” (2017), 12.
  2. Functional Algebra and Hypercalculus in Infinite Dimensions“(2017),
  3. “Theory of Knowledge” (2016), “Structural Reality” (2012),
  4. “Theory of Named Sets” (2011),
  5. “Measuring Power of Algorithms, Computer Programs, and Information Automata” (2010),
  6. “Theory of Information” (2010),
  7. “Neoclassical Analysis: Calculus Closer to the Real World” (2008),
  8. “Super-recursive Algorithms” (2005),
  9. “On the Nature and Essence of Mathematics” (1998),
  10. “Intellectual Components of Creativity” (1998),
  11. “Fundamental Structures of Knowledge and Information” (1997), and
  12. “The World of Theories and Power of Mind” (1992).

Dr. Burgin was also an Editor of 10 books.

A.   Books

  1. Burgin, M. History of Numbers and Arithmetic: An Information Perspective, World Scientific, New York/London/Singapore, 2022, 368 p.
  2. Burgin, M. and Czachor, M. Non-Diophantine arithmetics in mathematics, physics and psychology, World Scientific, New York/London/Singapore, 2020, 960 p.
  3. Burgin, M. and Dodig-Crnkovic, G. (Eds) Theoretical Information Studies: Information in the World, World Scientific Series in Information Studies: v. 11, World Scientific, New York/London/Singapore, 2020, 511 p.
  4. Dodig-Crnkovic, G. and Burgin, M. (Eds) Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific Series in Information Studies: v. 10, World Scientific, New York/London/Singapore, 2019, 576 p.
  5. Hofkirchner, W. and Burgin, M. (Eds) The Future Information Society: Social and Technological Problems, World Scientific, New York/London/Singapore, 2017, 537 p.
  6. Burgin, M. and Hofkirchner, W. (Eds) Information Studies and the Quest for Transdisciplinarity: Unity through Diversity, World Scientific, New York/London/Singapore, 2017, 556 p.
  7. Burgin, M. Theory of Knowledge: Structures and Processes, World Scientific, New York/London/Singapore, 2016, 964/948 p.
  8. Burgin, M. and Calude, C. (Eds) Information and Complexity, World Scientific, New York/London/Singapore, 2016, 504 p.
  9. Diaz Nafria, J.M., Alemany, F.S. Juan Miguel Aguado, J.M., Dodig-Crnkovic, G., Burgin, M., Campos-Havidich, M., Gejman, R., Morato, J., Macarro, R. and Bravo, B. (Eds) Glossarium – BITri: Interdisciplinary Elucidation of Concepts, Metaphors, Theories and Problems Concerning INFORMATION, 2nd edition, UPSE-BITrum, Universidad Estatal Peninsula de Santa Elena, Santa Elena, Ecuador, 2016, 222 p.
  10. Burgin, M. Structural reality, Nova Science Publishers, New York, 2012, 183 p.
  11. Burgin, M. Theory of Named Sets , Nova Science Publishers, New York, 2011, 681 p.
  12. Dodig-Crnkovic, G. and Burgin, M. (Eds) Information and Computation, World Scientific, New York/London/Singapore, 2011, 528 p.
  13. Burgin, M. Measuring Power of Algorithms, Computer Programs, and Information Automata, Nova Science Publishers, New York, 2010, 347 p.
  14. Burgin, M. Theory of Information: Fundamentality, Diversity and Unification, World Scientific, New York/London/Singapore, 2010, 688/672 p.
  15. Burgin, M. 信息论-本质·多样性·统一 (Theory of Information: Essence & Unified Diversity; Chinese translation of Theory of Information: Fundamentality, Diversity and Unification) Intellectual Property Publishing House, Beijing, China, 2015
  16. Burgin, M. Super-recursive Algorithms, Springer, New York, 2005, 316 p.
  17. Burgin, M. Entertainment and Information, UCMA, Los Angeles, 2001
  18. Burgin, M. Classical Eastern Philosophy: The Key Structures of Buddhism, Kiev, International Solomon University, 1999 (in Russian)
  19. Burgin, M. Intellectual Components of Creativity, International Academy “Man in Aerospace Systems”, Kiev, 1998 (in Ukrainian)
  20. Burgin, M. Fundamental Structures of Knowledge and Information: Achievement of an Absolute, Ukrainian Academy of Information Sciences, Kiev, 1997 (in Russian)
  21. Solovyev, V.P., Burgin, M.S., et al, Principles of Elaboration of the Automated Ecological Monitoring System for Water Resources of Ukraine, Sevastopol, 1997 (in Russian)
  22. Burgin, M. Parfenzeva, N. and Gladkova, V. Mathematical Models of Classifications in Statistics, Kyiv, Institute of Statistics, 1997 (in Ukrainian)
  23. Burgin, M. (Ed) Methodological and Theoretical Problems of Mathematics, Information Sciences and Computer Science, Ukrainian Academy of Information Sciences, Kiev, 1997
  24. Burgin, M. The Structural Level of Nature: Achievement of an Absolute, Znannya, Kiev, 1996 (in Russian)
  25. Burgin, M. and Kavunenko, L. Measurement and Evaluation in Science, STEPS, Kiev, 1994  (in Russian)
  26. Burgin, M.S. and Kuznetsov, V.I. Introduction to the Modern Exact Methodology of Science, International Science Foundation, Moscow,1994, 303 p.           (in Russian)
  27. Burgin, M. S. and Kuznetsov, V.I. Nomological Structures in Scientific Theories, Naukova Dumka, Kiev, 1993, 221 p.                                          (in Russian)
  28. Kuznetsov, V.I. and Burgin, M.S. The World of Theories and Power of Mind, Ukraina P.C., Kiev, 1992, 231 p. (in Russian)
  29. Burgin, M.S. and Kuznetsov, V.I. The Structure-Nominative Analysis of Theoretical Knowledge  (Ideas, Results  and  Perspectives),  Proceedings of the Institute of Philosophy, Kiev,  1992
  30. Burgin, M. Axiological Aspects of Scientific Theories, Naukova Dumka, Kiev, 1991, 183 p.                       (in Russian)
  31. Mashtabey, V.Ya., Burgin, M.S., and Lebed, V.V. The Problem of the Version Selection on the Base of Efficiency Estimation, Institute of Foreign Economy, Kiev, 1989     (in Russian)  
  32. Burgin, M. Informatics as a Science and Problems of its Teaching, Academy of Pedagogical Sciences, Moscow, 1987    (in Russian)
  33. Burgin, M.S., Drapatski, M.Ya., Kizner, Z.I., and Lokshina, I.Ye. Applicability of mathematical methods of fishery capacity estimation, IFO, Moscow, 1981 (in Russian)               

 

 

B. Papers in journals

  1. Burgin, M. The Block-Scheme Language as a Programming Language, Problems of Radio-Electronics, 1973, No. 7, pp. 39-58                (in  Russian)
  2. Burgin, M. and Karasik, A. Yu. A Study of an Abstract Model of Computers, Programming, 1975, No. 1, pp. 72-82 (Programming and Computer Software, 1975, v. 1, No.1)                                                   (translated from Russian)
  3. Burgin, M. and Karasik, A. Yu. Operators of a Multidimensional Structured Model of Parallel Computations, Automatics and Telemechanics, 1976, No. 8, pp. 179-185 (Automation and Remote Control, 1976, v. 37, No. 8, pp. 1295-1300)                                     (translated from Russian)
  4. Burgin, M. Recursion Operator and Representability of Functions in the Block-Scheme Language, Programming, 1976, No. 4, pp. 13-23 (Programming and Computer Software, 1976, v. 2, No.4)       (translated from Russian)
  5. Burgin, M. and Karasik, A. Yu. On Construction of Matrix Operators, Problems of Radio-Electronics, 1976, No. 8, pp. 9-25       (in Russian)
  6. Belkov, M.S., Bratalskii, E.A., and Burgin, M. The Language of Package Design of Logical Units, Problems of Radio-Electronics, 1977, No. 6, pp. 58-71     (in Russian)
  7. Burgin, M. Variables in the Block-Scheme Language, Programming, 1978, v. 4, No. 2, pp. 3-11 (Programming and Computer Software, 1978, v. 4, No. 2, pp. 79-85)    (translated from Russian)
  8. Burgin, M. , Bratalskii, E.A. and Belkov, M.S. The language PDL for the large system design automation, Programming,  1979, No. 1, pp. 80-90       (Programming and Computer Software, 1979, v. 5, No. 1, pp. 80-90)          (translated from Russian)
  9. Burgin, M. Functional equivalence of operators and parallel computations, Programming, 1980, No. 6, pp. 3-16         (Programming and Computer Software, 1980, v. 6, No. 6, pp. 283-294)                      (translated from Russian)
  10. Burgin, M. Generalized Kolmogorov complexity and duality in the theory of computations,   Notices of the Academy of Sciences of the USSR, 1982, v. 264, No. 2 (v. 25, No. 3), pp. 19-23          (translated from Russian)
  11. Burgin, M. Complexity of parallel algorithms and computations, Notices of the Academy of Sciences of the USSR, 1982, v. 265, No. 2 (v. 26, No. 1), pp. 268-274         (translated from Russian)
  12. Burgin, M. and Zak, Yu.A. Problems of functioning of graphic design computer systems, Mechanization and automation of control, 1982, No. 2, pp. 32-36      (in Russian)
  13. Burgin, M. and Zak, Yu.A. Principles of automated system design, Control Systems and Machines, 1982, No. 2, pp. 82-89 (in Russian)
  14. Burgin, M. and Chelovsky, Yu. Multidimensional structural analysis of FORTRAN programs, Control Systems and Machines, 1982, No. 1, pp. 38-39 (in Russian)
  15. Burgin, M. Products of Operators in a Multidimensional Structured Model of Systems, Mathematical Social Sciences, 1982, No.2, pp. 335-343
  16. Burgin, M.S. and Burgina, E.S. Partitions in Languages and Parallel Computations, Programming, 1982, No. 3, pp. 10-20 (Programming and Computer Software, 1982, v. 8, No. 3, pp. 112-120) (translated from Russian)
  17. Burgin, M.S. and Burgina, E.S. Information retrieval and multivalued partitions in languages, Cybernetics, 1982, No. 1, pp. 30-42 (Cybernetics and System Analysis, 1983, v. 18, No.1, pp. 35-50)      (translated from Russian)
  18. Burgin, M. Composition of operators in a multidimensional structured model of parallel computations and systems, Cybernetics, 1983, No. 3, pp. 38-46 (Cybernetics and System Analysis, 1984, v. 19, No. 3, pp. 340-350)         (translated from Russian)
  19. Burgin, M. Multiple computations and Kolmogorov complexity for such processes, Notices of the Academy of Sciences of the USSR, 1983, v. 27, No. 2 (v. 269, No.4), pp. 793-797        (translated from Russian)
  20. Burgin, M. Inductive Turing machines, Notices of the Academy of Sciences of the USSR, 1983, 27, No. 3 (v. 270, No. 6) , pp. 1289-1293      (translated from Russian)
  21. Burgin, M. and Gabovich, E. Equivalence among optimization problems on matrix sets, DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science, 1983, No. 6, pp. 13-24
  22. Burgin, M. Inductive Turing machines with multiple heads and Kolmogorov algorithms, Notices of the Academy of Sciences of the USSR, 1984, v. 29, No. 2 (v. 275, No. 2), pp. 280-284                (translated from Russian)
  23. Burgin, M. Complexity measures on systems of parallel algorithms, Programming, 1984, No. 1, pp. 17-28 (Programming and Computer Software, 1984, v. 10, No. 1, pp. 12-21) (translated from Russian)
  24. Burgin, M. and Zak, Yu.A. Structure-parametric description of graphic objects, Control Systems and Machines, 1984, No. 3, pp. 80-85 (in Russian)
  25. Burgin, M. and Chelovsky, Yu. Optimization Methods for Software Design, in “Operation research and automated control systems”, Kiev, 1984, No. 24, pp. 102-108 (in Russian)
  26. Burgin, M. Algorithms and algorithmic problems,  Programming, 1985, No. 4, pp. 3-14   (Programming and Computer Software, 1985)       (translated from  Russian)
  27. Burgin, M.S. and Kuznetsov, V.I. Scientific theory and its subsystems, Philosophical Thought, 1987, 5,  pp. 34-46             (in Ukrainian)
  28. Burgin, M.S. and Kuznetsov, V.I. Scientific theory and its logic-linguistic subsystem, Philosophical Sciences, 1987, No.5, pp. 36-45     (in Russian)
  29. Burgin, M. Problems of Information Sciences Teaching, Informatics and Education, 1987, No. 4, pp. 17-19               (in Russian)
  30. Burgin, M.S. and Stepenko, G.V. Computer Literacy in a Secondary School, Soviet School, 1988, No. 4, pp. 63-72 (in Ukrainian)
  31. Burgin, M.S. and Stepenko, G.V. Informatics in Language Teaching: Software for Teaching and Learning, Ukrainian Language and Literature at School, 1988, No. 6, pp. 66-70 (in Ukrainian)
  32. Burgin, M.S. and Kuznetsov, V.I. The structure-nominative reconstruction of scientific knowledge, Epistemologia, Italy, 1988, v. XI, No. 2,  235-254
  33. Burgin, M., Kuznetsov, V.I. and Dmitrik, I. The structure-nominative analysis of pedagogical theories, Soviet Pedagogy, 1989, No. 3, pp. 59-64             (in Russian)
  34. Burgin, M. Problems of Information Sciences Teaching, Informatics and Education, 1987, No. 4, pp. 17-19               (in Russian)
  35. Burgin, M.S. and Stepenko, G.V. Computer Literacy in a Secondary School, Soviet School, 1988, No. 4, pp. 63-72 (in Ukrainian)
  36. Burgin, M.S. and Stepenko, G.V. Informatics In Language Teaching: Software for Teaching and Learning, Ukrainian Language and Literature at School, 1988, No. 6, pp. 66-70 (in Ukrainian)
  37. Burgin, M.S. and Kuznetsov, V.I. Relations between laws and principles in scientific theory, Philosophical Sciences, No. 1, 1990, pp. 44-52        (in Russian)
  38. Burgin, M.S. and Kuznetsov, V.I. New dimensions of scientific theory, Visnik of the Academy of Sciences of Ukraine, 1990, 10, pp. 26-30     (in Ukrainian)
  39. Burgin, M.S., Kostyukevich, D.Ya., and Finn, A. Z. Computer modeling in the course of mechanics in school, Methods of teaching of mathematics and physics, Kiev, 1990, v. 6, pp. 114-119 (in Ukrainian)
  40. Kuznetsov, V.I., Burgin, M.S., Gudkov, M.A., et al, On transformation principles of social sciences, Visnik of the Academy of Sciences of Ukraine, 1990, No. 10, pp. 7-14   (in Ukrainian)
  41. Burgin, M.S. and Kuznetsov, V.I. The Structure of the Theoretical Level of Modern Science,   Science of Science and Informatics, No. 34, 1990, pp. 48-54      (in Russian)
  42. Burgin, M. Generalized Kolmogorov Complexity and other Dual Complexity Measures, Cybernetics and System Analysis, 1990, No. 4, pp. 21-29 (translated from Russian: v. 26, No. 4, pp. 481-490)  
  43. Burgin, M. and Chelovsky, Yu. Decision Making Systems and their Software, Operations Research and Automated Control Systems, Kiev, No. 36, 1990, pp. 82-87 (in Russian)
  44. Burgin, M. Selection of Optimization Criteria in the Dynamic Approach of Mathematical Standardization Theory, Electronic devices, No. 1, 1991, pp. 62-67       (in Russian)
  45. Burgin, M. Logical Methods in Artificial Intelligent Systems, Vestnik of the Computer Science Society, No. 2, 1991, pp. 66-78  (in Russian)
  46. Burgin, M. What is the Surrounding World Built of (The Ontological Aspect), Philosophical and Sociological Thought, 1991, No. 8, pp. 54-67                   (in Russian)
  47. Burgin, M.S. and Kuznetsov, V.I. Structure and Development of Mathematical Theories, Modern Logic, 1991, v.2, No. 1, pp. 3-28
  48. Burgin, M.S. and Kuznetsov, V.I. Model Part of a Scientific Theory, Epistemologia, 1992, XV, No. 1, pp. 41-64
  49. Burgin, M.S. and Borodyanskiy, Yu.M. Infinite Processes and Super-recursive Algorithms, Notices of the Academy of Sciences of the USSR, 1991, v.321, No. 5, pp. 876-879  (translated from Russian: 1992, v. 44, No. 1)
  50. Burgin, M. Universal limit Turing machines, Notices of the Russian Academy of Sciences, 1992, v.325, No. 4, pp. 654-658      (translated from Russian: 1993, v. 46, No. 1, pp. 79-83)  
  51. Burgin, M. On the concept of a multiset in cybernetics, Cybernetics and System Analysis, 1992, No. 3, pp. 165-167      (translated from Russian)
  52. Kuznetsov, V.I., Burgin, M., et al, On problems of control and self-organization in science, Visnik of the Academy of Sciences of Ukraine, No. 12, 1992, pp. 80-85 (in Ukrainian)
  53. Burgin, M. System Approach to the Concept of Time, Philosophical and Sociological Thought, 1992, No. 8, pp. 160-163          (in Russian and Ukrainian)
  54. Burgin, M. and Ŝostak, A. Towards the theory of continuity defect and continuity measure for mappings of metric spaces, in “Matematika” Acta Univ. Latv., No. 576, Riga, 1992, pp. 45-62
  55. Burgin, M. Infinite in finite or metaphysics and dialectics of scientific abstractions, Philosophical and Sociological Thought, 1992, No. 8, pp. 21-32 (in Russian and Ukrainian)
  56. Burgin, M.S. and Kuznetsov, V.I. The Structure-Nominative Reconstruction and Intelligibility of Cognition, Epistemologia, v. XV, No. 2, 1992, pp. 219-238
  57. Burgin, M.S. and Kuznetsov, V.I. Scientific Theory and its Model-Representing Subsystem, Problems of Methodology, 1992,      3/4, pp. 34-45     (in Russian)
  58. Burgin, M. On the way to the “Absolute”: Triad is the most fundamental structure in human society, Visnik of the Academy of Science of Ukraine, 1993, No. 5, pp. 29-35        (in Ukrainian)
  59. Burgin, M. Triad as a fundamental structure in human culture, Studia Culturologia, 1993, v.2, pp. 51-63
  60. Burgin, M.S. and Kuznetsov, V.I. Significance of scientific laws and “beauty” of scientific theory, Science and Science of Science, 1993, 1-2, pp. 48-54         (in Russian)
  61. Burgin, M.S. and Kuznetsov, V.I. Properties in science and their modeling, Quality & Quantity, 1993, 27, pp. 371-382
  62. Burgin, M.S. and Borodyanskiy, Yu.M. Alphabet operators and algorithms, Cybernetics and System Analysis, v. 29, No. 3, 1993, pp. 338-349 (translated from Russian: Kibernetika i Systemnyi Analiz, v. 29, No. 3, pp. 42-57) 
  63. Burgin, M. Analogy and Argumentation in Artificial Intelligence Systems, Vychislitelnyye Systemy (Logical Methods in Computer Science), No. 148, 1993, pp. 82-93 (in Russian)
  64. Burgin, M. Reflexive Turing Machines and Calculi, Vychislitelnyye Systemy (Logical Methods in Computer Science), No. 148, 1993, pp. 94-116, 175-176 (in Russian)
  65. Burgin, M. Information triads, Philosophical and Sociological Thought, 1993, No. 7-8, pp. 243-246 (in Russian and Ukrainian)
  66. Burgin, M. A Methodological Analysis of the Concept “Transformation”, Transformacje, No. 3-4 (5-6), 1993-94, pp. 88-92 (in Polish)
  67. Burgin, M. Evaluation of Scientific Activity in the Dynamic Information Theory, Science and Science of Science, 1994, No. 1-2, pp. 124-131
  68. Burgin, M.S. and Borodyanskiy, Yu.M. Operations and Compositions of Transrecursive Operators, Notices of the Russian Academy of Science, 1994, v. 336, No. 6 ( v. 49, No. 3),  727-730                                        (translated from Russian)    
  69. Burgin, M.S. and Borodyanskiy, Yu.M. Problems of Artificial Intelligence and Transrecursive Operators, Visnik of the National Academy of Sciences of Ukraine, 1994, No. 11/12, pp. 29-34                         (in Ukrainian)
  70. Burgin, M.S. and Borodyanskiy, Yu.M. Operations and Compositions in Transrecursive Operators, Cybernetics, 1994, No. 4, pp. 3-11 (Cybernetics and System Analysis, v. 30, No.4, pp. 473-478)            (translated from Russian)
  71. Burgin, M. Structural traits of psychoanalysis, Visnik of the National Academy of Sciences of Ukraine, 1994, No. 2, pp. 45-50 (in Ukrainian)
  72. Ball, G.A. and Burgin, M.S. Psychological influence analysis and its pedagogical aspects, Voprosy Psyhologii, 1994, No. 4, pp. 56-66 (in Russian)
  73. Burgin, M. Is Informatics Needed as a Science? Control Systems and Machines, 1994, No. 4-5, pp. 22-25        (in Russian)
  74. Burgin, M. Fundamental Base of the Theory of Triads, Idea, 1994, No. 2, pp. 32-45 (in Ukrainian)
  75. Burgin, M. Is it Possible that Mathematics Gives new Knowledge about Reality, Philosophical and Sociological Thought, 1994, No. 1, pp. 240-249 (in Russian and Ukrainian)
  76. Burgin, M. and Kuznetsov, V. Scientific Problems and Questions from a Logical Point of View, Synthese, 1994, v.100, No. 1, 1-28
  77. Burgin, M. Named Sets as a Basic Tool in Epistemology, Epistemologia, 1995, v. XVIII, pp. 87-110
  78. Burgin, M. Ahead of Time or Unknown Sensations, Visnik of the National Academy of Science of Ukraine, 1995, No. 7/8, pp. 97-101 (in Ukrainian)
  79. Burgin, M. Mistakes and misconceptions as engines of progress in science, Visnik of the National Academy of Science of Ukraine, 1995, No. 11/12, pp. 64-70 (in Ukrainian)
  80. Burgin, M.S. and Dantsker, A.M. A method of solving operator equations by means of the theory of hypernumbers, Doklady of the National Academy of Sciences of Ukraine, 1995, No. 8, pp. 27-30 (in Russian)
  81. Burgin, M. and Korenoj, A.A. Little Scientometrics, Big Scientometrics … System Analysis, Science and Science of Science, 1995, No. 1-2, pp. 5-12   
  82. Burgin, M. The Phenomenon of Knowledge, Philosophical and Sociological Thought,  1995, No. 3-4, pp. 41-63       (in Russian and Ukrainian)
  83. Burgin, M. Algorithmic Approach in the Dynamic Information Theory, Notices of the Russian Academy of Sciences, 1995, v. 342, No. 1, pp. 7-10 (translated from Russian)
  84. Burgin, M. and Korenoj, A.A. Social Science and the Structure of Infometrics and Scientometrics, Science and Science of Science, 1995, No. 4, pp. 5-12       
  85. Burgin, M. Logical Tools for Inconsistent Knowledge Systems, Information: Theories & Applications, 1995, v.3, No. 10, pp. 13-19
  86. Burgin, M. Information as a Natural and Technological Phenomenon, Informatization and new technologies, 1996, No. 1, pp. 2-5  (in Russian)
  87. Burgin, M. Information and Information Operations, Librarian Reports, 1996, No. 5, pp. 7-8     (in Ukrainian)
  88. Burgin, M. and Shmidskii, Y. Is it Possible to Compute Non-computable or why Programmers Need the Theory of Algorithms,   Computers & Software, 1996, No. 5, pp. 4-8          (in Russian)
  89. Burgin, M. Flow-charts in programming: arguments pro et contra, Control Systems and Machines, No. 4-5, 1996, pp. 19-29     (in Russian)
  90. Burgin, M. What is the Cost of Information, Information and Market, 1996, 5-6, pp. 35-36  (in Ukrainian)
  91. Burgin, M. Methodological Analysis of Informatization, Informatization and new technologies, 1996, No. 3, pp. 4-6 (in Russian)
  92. Burgin, M. Triad as a Way to mutual understanding, Philosophical and Sociological Thought, 1996, No. 7/8, pp. 232-237 (in Russian and Ukrainian)
  93. Burgin, M. Infological System as a Generalization of Thesaurus, Librarian Reports, 1997, No.1, pp. 11-13 (in Ukrainian)
  94. Burgin, M. Time as a Factor of Science Development, Science and Science of Science, 1997, No. 1-2, pp. 45-59
  95. Burgin, M. A Technological Approach to the System Science-Industry-Consumption, Science and Science of Science, 1997, No. 3/4, pp. 73-88        (in Russian)
  96. Burgin, M. Information Algebras, Control Systems and Machines, No. 6, 1997, pp. 5-16 (in Russian)
  97. Burgin, M.S. and Gabovich, A.M. Why a Discovery was not made, Visnik of the National Academy of Science of Ukraine, 1997, 3/4, pp. 55-60          (in Ukrainian)
  98. Burgin, M. Empirical Foundations of the Theory of Triads, Reports of the International Convent of the Trinitarian Knowledge, No. 1, 1997/98, pp. 119-127 (in Ukrainian)
  99. Burgin, M. Mirrors, or a Reflection of Culture, Movies-Theater, No. 2, 1998, p. 39 (in Ukrainian)
  100. Burgin, M. and Rothbart, D. Metaphor as an Exact Concept in the Theory of Properties, Theoria, 1998, No. 2,  91-103   (in Serbian)
  101. Burgin, M. Intellectual Development: Unity of Theory and Practice, The Road of Education, 1998, No. 1, pp. 6-10 (in Ukrainian)
  102. Burgin, M.S. and Stepenko, G.V. Models in Systems of Control in Education, The Road of Education, 1998, No. 3, pp. 28-32 (in Ukrainian)
  103. Burgin, M. Information and Transformation, Transformation, 1998/1999, No.1,  48-53   (in Polish)
  104. Burgin, M. and Milov, Yu. Existential Triad: A Structural Analysis of the Whole, Totalogy, 1999, v. 2/3, 387-406         (in Russian)
  105. Burgin, M. Information in the Context of Education, The Journal of Interdisciplinary Studies, v. 14, Fall 2001, pp. 155-166
  106. Burgin, M.S. and Kuznetsov, V.I. Methodological Models of Cognitive Systems, in Methodological Problems of Science of Science, Dobrov Center, Kyiv, 2001, pp. 227-250 (in Russian)
  107. Burgin, M. How We Know What Technology Can Do, Communications of the ACM, v. 44, No. 11, 2001, pp. 82-88
  108. Burgin, M., Liu, D. and Karplus, W. Large–scale Flow Field Visualization for Aneurysm Treatment, ACM SIGAPP Applied Computing Review (Special issue on SAC 2001 best papers), v. 9, No. 1, 2001, pp. 3-7
  109. Burgin, M. Uncertainty and Imprecision in Analytical Context: Fuzzy Limits and Fuzzy Derivatives, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 9, No. 5, 2001, pp. 563-685
  110. Burgin, M. Theory of Hypernumbers and Extrafunctions: Functional Spaces and Differentiation, Discrete Dynamics in Nature and Society, v. 7, No. 3, 2002, pp. 201-212
  111. Burgin, M. Information Theory: A Multifaceted Model of Information, Entropy, v. 5, No. 2, 2003, pp. 146-160 (http://www.mdpi.org/entropy/)
  112. Burgin, M. Information: Problems, Paradoxes, and Solutions, TripleC, v. 1, No.1, 2003, pp. 53-70 (http://triplec.uti.at)
  113. Burgin, M. Nonlinear Phenomena in Spaces of Algorithms, International Journal of Computer Mathematics, v. 80, No. 12, 2003, pp. 1449-1476
  114. Burgin, M. Data, Information, and Knowledge, Information, v. 7, No.1, 2004, pp. 47-57
  115. Burgin, M. and Klinger, A. Three Aspects of Super-recursive Algorithms and Hypercomputation or Finding Black Swans, Theoretical Computer Science, v. 317, No. 1/3, 2004, pp. 1-11
  116. Burgin, M. Fuzzy Optimization of Real Functions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 12, No. 4, 2004, pp. 471-497
  117. Burgin, M. Algorithmic Complexity of Recursive and Inductive Algorithms, Theoretical Computer Science, v. 317, No. 1/3, 2004, pp. 31-60
  118. Burgin, M. and Klinger, A. Experience, Generations, and Limits in Machine Learning, Theoretical Computer Science, v. 317, No. 1/3, 2004, pp. 71-91
  119. Burgin, M. Put More Science in Computer Science, Communications of the ACM, v. 47, No. 12, 2004, p. 13
  120. Burgin, M. and Debnath, N.C. Complexity Measures for Software Engineering, Journal for Computational Methods in Science and Engineering, 2005, v. 5, Supplement 1, pp. 127-143
  121. Burgin, M. Recurrent Points of Fuzzy Dynamical Systems, Journal of Dynamical Systems and Geometric Theories, 2005, v. 3, No. 1, pp.1-14
  122. Burgin, M. Topology in Nonlinear Extensions of Hypernumbers, Discrete Dynamics in Nature and Society, v. 10, No. 2, 2005, pp. 145-170
  123. Burgin, M. and Schumann, J. Three Levels of the Symbolosphere, Semiotica, v. 160, No. 1/4, 2006, pp. 185-202
  124. Burgin, M. Algorithmic Complexity as a criterion of unsolvability, Theoretical Computer Science, v. 383, No. 2/3, 2007, pp. 244-259
  125. Burgin, M. Universality, Reducibility, and Completeness, Lecture Notes in Computer Science, 2007, v. 4664, pp. 24-38
  126. Burgin, M. and Duman, O. Properties of Fuzzy Statistical Limits, Journal of Intelligent & Fuzzy Systems, 2008, v. 19, No. 6, pp. 385-392
  127. Burgin, M. and Duman, O. Statistical Fuzzy Convergence, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008, 16, No. 6, pp. 879-902
  128. Burgin, M. and Eberbach, E. Cooperative Combinatorial Optimization: Evolutionary Computation Case Study, BioSystems, v. 91, No. 1, 2008, pp. 34-50
  129. Burgin, M. Cellular Engineering, Complex Systems, v. 18, No. 1, 2008, pp. 103-129
  130. Burgin, M. Many Faces of Integration and their Mathematical Reflections, Integration: Mathematical Theory and Applications, v. 1, No. 1, 2008/2009, pp. ii-vii
  131. Burgin, M., and Eberbach, E. Universality for Turing Machines, Inductive Turing Machines and Evolutionary Algorithms, Fundamenta Informaticae, v. 91, No. 1, 2009, 53-77
  132. Burgin, M. and Debnath, N.C. Measuring Testing as a Distributed Component of the Software Life Cycle, Journal for Computational Methods in Science and Engineering, 2009, v. 9, No. 1/2, Supplement 2, pp. 211-223
  133. Burgin, M. Algorithmic Complexity of Computational Problems, International Journal of Computing & Information Technology, 2010, v. 2, No. 1, pp. 149-187
  134. Burgin, M. Information Operators in Categorical Information Spaces, Information, v. 1, No.1, 2010, pp. 119 – 152
  135. Burgin, M. and Krinik, A. Introduction to Conditional Hyperprobabilities, Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp. 285 – 304
  136. Burgin, M. and Meissner, G. Negative Probabilities in Modeling Random Financial Processes, Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp. 305 – 322
  137. Burgin, M. and Krinik, A. Probability and other Integral Characteristics of Random Phenomena, Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp. v-viii
  138. Burgin, M. Information in the Structure of the World, Information: Theories & Applications, 2011, v.18, No. 1, pp. 16 – 32
  139. Brenner, J. and Burgin, M. Information as a Natural and Social Operator, Information: Theories & Applications, 2011, v.18, No. 1, pp. 33 – 49
  140. Burgin, M. and de Vey Mestdagh, C.N.J. The Representation of Inconsistent Knowledge in Advanced Knowledge Based Systems, Lecture Notes in Computer Science, Knowledge-Based and Intelligent Information and Engineering Systems, v. 6882, 2011, 524-537
  141. Nocedal, A.S., Gerrikagoitia Arrien, J.K. and Burgin, M. A mathematical model for managing XML data, International Journal of Metadata, Semantics and Ontologies (IJMSO), v. 6, No. 1, 2011, pp. 56 – 73
  142. Burgin, M. Information: Concept Clarification and Theoretical Representation, TripleC, v. 9, No.2, 2011, pp. 347-357 (http://triplec.uti.at)
  143. Burgin, M. Epistemic Information in Stratified M-Spaces, Information, v. 2, No.2, 2011, pp. 697 – 726
  144. Burgin, M., Calude, C.S. and Calude, E. Inductive Complexity Measures for Mathematical Problems, Center for Discrete Mathematics and Theoretical Computer Science (CDMTCS) Research Report 416, 2011
  145. Burgin, M. and Eberbach, E. Evolutionary Automata: Expressiveness and Convergence of Evolutionary Computation, Computer Journal, 55, No. 9, 2012, pp. 1023-1029 (Advance Access publication, September 29, 2011)
  146. Burgin, M. A System Approach to Information Structuring in the Context of Social Interaction, Information: Theories & Applications, 2012, v.19, No. 1, pp. 3 – 13
  147. Burgin, M. Decidability and Universality in the Axiomatic Theory of Computability and Algorithms, International Journal of Foundations of Computer Science, v. 23, No. 7, 2012, 1465 – 1480
  148. Burgin, M. and Meissner, G. Negative Probabilities in Financial Modeling, Wilmott Magazine, March 2012, pp. 60 – 65
  149. Burgin, M. Integration in Bundles with a Hyperspace Base: Definite Integration, Integration: Mathematical Theory and Applications, v. 3, No. 1, 2012, pp. 1-54
  150. Burgin, M. and Meissner, G. Larger than One Probabilities in Mathematical and Practical Finance, Review of Economics & Finance, v. 2, No 4, 2012, pp. 1-13
  151. Burgin, M. and Gupta, B. Second-level Algorithms, Superrecursivity, and Recovery Problem in Distributed Systems, Theory of Computing Systems, v. 50, No. 4, 2012, pp. 694-705
  152. Burgin, M. and Debnath, N.C. A System Approach to Software Measurement, in Proceedings of the ISCA 27th International Conference “Computers and their Applications” (CATA-2012), ISCA, Las Vegas, Nevada, USA, March 2012, 230 – 233
  153. Wegner, P., Eberbach, E. and Burgin, M. Computational Completeness of Interaction Machines and Turing Machines, in Turing-100 (The Alan Turing Centenary), EasyChair Proceedings in Computing, v. 10, 2012, pp. 405-414
  154. Burgin, M. and Debnath, N.C. Interplay of Logical Verification and Performance Testing in Software Assurance, in Proceedings of the 21st International Conference on Software Engineering and Data Engineering (SEDE-2012), ISCA, Los Angeles, California, June 27–29, 2012, 155-160
  155. Burgin, M. Integrating random properties and the concept of probability, Integration: Mathematical Theory and Applications, v. 3, No. 2, 2012, pp. 137 – 181
  156. Burgin, M. and Krinik, A. Hyperexpectations and random variables without expectations, Integration: Mathematical Theory and Applications, v. 3, No. 3, 2012, pp. 245-267
  157. Dodig-Crnkovic, G. and Burgin, M. Axiomatic Tools versus Constructive approach to Unconventional Algorithms, in Proceedings of Symposium on Natural Computing/Unconventional Computing and its Philosophical Significance, AISB/IACAP World Congress 2012, Birmingham, UK, July 2-6, 2012, pp. 100-105 (also: Preprint in Computer Science, GL/LO. 1207.1034, 2012,     electronic edition:   http://arXiv.org)     
  158. Burgin, M. and Dodig-Crnkovic, G. From the Closed Universe to an Open World, in Proceedings of Symposium on Natural Computing/Unconventional Computing and its Philosophical Significance, AISB/IACAP World Congress 2012, Birmingham, UK, July 2-6, 2012, pp. 106-110
  159. Burgin, M., Dantsker, A.M. and Esterhuysen, K. Lithium Battery Temperature Prediction, Integration: Mathematical Theory and Applications, 3, No. 4, 2012, pp. 319 – 331
  160. Burgin, M. and Eberbach, E. Evolutionary Computation and Processes of Life, (Ubiquity Symposium Opening Statement), Ubiquity, August 2012, 12 p. (http://ubiquity.acm.org)
  161. Burgin, M. A System Approach to Information Structuring in the Context of Social Interaction, Information: Theories & Applications, 2012, v.19, No. 1, pp. 3 – 13
  162. Dodig-Crnkovic, G. and Burgin, M. Unconventional Algorithms: Complementarity of Axiomatics and Construction, Entropy, v. 14, No. 5, 2012, pp. 2066-2080 (http://www.mdpi.com/journal/entropy/)
  163. Burgin, M. Evolutionary Information Theory, Information, v. 4, No.2, 2013, pp. 224 – 268
  164. Burgin, M., Calude, C.S. and Calude, E. Inductive Complexity Measures for Mathematical Problems, International Journal of Foundations of Computer Science, v. 24, No. 4, 2013, pp. 487-500
  165. Burgin, M. and Eberbach, E. Perspectives and reality of evolutionary computation, Ubiquity, v. 2013, December 2013, pp. 1-12
  166. Burgin, M. Functioning of Inductive Turing Machines, International Journal of Unconventional Computing (IJUC), v. 10, No. 1-2, 2014, 19-35
  167. Burgin, M. Weighted E-Spaces and Epistemic Information Operators, Information, v. 5, No. 3, 2014, pp.357 – 388
  168. Burgin, M. Periodic Turing Machines, Journal of Computer Technology & Applications (JoCTA), v. 5, No. 3, 2014, pp. 6 – 18
  169. Burgin, M. Inductive Cellular Automata, International Journal of Data Structures and Algorithms, v. 1, No 1, 2015, pp. 1 – 9
  170. Burgin, M. Properties of Stabilizing Computations, Theory and Applications of Mathematics & Computer Science, v. 5, No. 1, 2015, pp. 71 – 93
  171. Burgin, M. Grammars with Exclusion, Journal of Computer Technology & Applications (JoCTA), v. 6, No. 2, 2015, pp. 56 – 66
  172. Burgin, M. and de Vey Mestdagh, C.N.J. Consistent structuring of inconsistent knowledge, Journal of Intelligent Information Systems, v. 45, No. 1, 2015, pp. 5-28
  173. Burgin, M. Inductively computable sets and functions, Journal of Computer Technology & Applications (JoCTA), v. 7, No. 1, 2016, pp. 12 – 22
  174. Burgin, M. Inductively Computable Hierarchies and Inductive Algorithmic Complexity, Global Journal of Computer Science and Technology, Ser. E: Network, Web & Security, v. 16, No. 1, 2016, pp. 35 – 45
  175. Burgin, M., Mikkilineni, R. and Morana, G. Intelligent organisation of semantic networks, DIME network architecture and grid automata, International Journal of Embedded Systems, v. 8, No. 4, 2016, 352-366
  176. Burgin, M. and Meissner G. Extended correlations in finance, J. of Math. Finance, v. 6, 2016, 178-188
  177. Burgin, M. On the power of oracles in the context of hierarchical intelligence, Journal of Artificial Intelligence Research & Advances, 3, No. 2, 2016, pp. 6 – 17
  178. Burgin, M. and Eberbach, E. Modeling evolution by evolutionary machines: A new perspective on computational theory and practice, Theory and Applications of Mathematics & Computer Science, v. 6, No. 2, 2016, pp. 170 – 186
  179. Burgin, M. Axiomatizing negative probability, Journal of Advanced Research in Applied Mathematics and Statistics, v. 1, No. 1, 2016, pp. 1 – 17
  180. Burgin, M. Probability Theory in Relational Structures, Journal of Advanced Research in Applied Mathematics and Statistics, v. 1, No. 3&4, 2016, pp. 19 – 29
  181. Burgin, M. and Meissner G. 1 + 1 = 3: Synergy Arithmetic in Economics, Applied Mathematics, v. 8, No. 2, 2017, pp. 133 – 144
  182. Burgin, M. and Meissner G. Why so negative on negative volatilities? International Journal of Statistics and Applied Mathematics, v. 2, No. 5, Part B, 2017, pp. 116-124
  183. Burgin, M. Metalogic in the context of logical varieties, International Journal of Pure Mathematics, v. 4, 2017, pp. 64 – 78
  184. Burgin, M. and Adamatzky, A. Structural machines and slime mold computation, International Journal of General Systems, v. 45, No. 3, 2017, 201-224 (Advance Access publication, April 25, 2017  http://dx.doi.org/10.1080/03081079.20171300585)
  185. Burgin, M. and Adamatzky, A. Structural Machines as a Mathematical Model of Biological and Chemical Computers, Theory and Applications of Mathematics & Computer Science, v. 7, No. 2, 2017, pp. 1 – 30
  186. Burgin, M. and Feistel, R. Structural and Symbolic Information in the Context of the General Theory of Information, Information, v. 8, No. 4, 2017, 139; doi:10.3390/info8040139
  187. Burgin, M. Actors, Agents and Oracles in the Context of Artificial Intelligence, Journal of Artificial Intelligence Research & Advances, 4, No. 3, 2017, pp. 17-25
  188. Burgin, M. Distributed computing and agent technology, International Journal of Distributed Computing and Technology, v. 3, No. 2, 2017, pp. 30 – 40
  189. Adamatzky, A., Akl, S., Burgin, M., Calude, C.S., Costa, J.F., Dehshibi, M.M., Gunji, Y.-P., Konkoli, Z., MacLennan, B., Marchal, B., Margenstern, M., Martínez, G. J., Mayne, R., Morita, K., Schumann, A., Sergeyev, Y. D., Sirakoulis, G.Ch., Stepney, S., Svozil, K. and Zenil, H. East-West paths to unconventional computing, Progress in Biophysics and Molecular Biology, v. 131, 2017, pp. 469-493
  190. Burgin, M. Swarm Superintelligence and Actor Systems, International Journal of Swarm Intelligence and Evolutionary Computation, v. 6, No. 3, 2017, open access (https://www.omicsonline.org/open-access/swarm-superintelligence-and-actor-systems-2090-4908-1000167-97430.html?view=mobile)
  191. Burgin, M. Ideas of Plato in the context of contemporary science and mathematics, Athens Journal of Humanities and Arts, v. 4, No. 3, July 2017, pp. 161 – 182
  192. Burgin, M. and Brenner, J. Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues, Philosophies, 2017, v. 2, No. 3, 21, 28 p.; doi: 10.3390/philosophies2030021
  193. Burgin, M. Platonic Triangles and Fundamental Triads as the Basic Elements of the World, Athens Journal of Humanities and Arts, v. 5, No. 1, January 2018, pp. 29 – 44
  194. Burgin, M. and Zhong, Y. Information Ecology in the Context of General Ecology, Information, v. 9, No. 3, 2018, 57; doi:10.3390/info9030057
  195. Burgin, M. Symmetric Hyperprobabilities, UPI Journal of Mathematics and Biostatistics (UPI-JMB), v.1, No. 2, 2018, 15 p.
  196. Burgin, M. Mathematical Analysis of the Concept Equality, Research and Reports on Mathematics, v.2, No. 2, 2018, 10.4172/RRM.1000e102
  197. Burgin, M. and Grathoff, A. Concurrent systems and time synchronization, International Journal of General Systems, 47, No. 4, 2018, pp. 313-328 (Advance Access publication, February 28, 2018 https://doi.org/10.1080/03081079.2018.1425298)
  198. Burgin, M. and Mikkilineni, R. Cloud computing based on agent technology, super-recursive algorithms and DNA, Int. J. Grid and Utility Computing, v. 9, No. 2, 2018, pp.193–204
  199. Burgin, M. Inductive computations, anytime algorithms and emotions, International Journal of Algorithms Design and Analysis, 4, No. 1, 2018, pp. 47-57
  200. Burgin, M. Triadic Structures in Interpersonal Communication, Information, v. 9, No. 11, 2018, 283
  201. Burgin, M. and Zhong, Y. Methodology of Information Ecology in the Context of Modern Science, Philosophical Analysis, v. 10, No. 1, 2019, pp. 119-136  (in Chinese)
  202. Burgin, M. Mental Energy in the Context of the General Theory of Information, Open Access Biostatistics & Bioinformatics, v. 2, No. 3, 2019, pp. 1 – 8 DOI: 10.31031/OABB.2019.02.000540
  203. Burgin, M., Eberbach, E. and Mikkilineni, R. Cloud Computing and Cloud Automata as a New Paradigm for Computation, Computer Reviews Journal, v. 4, 2019, pp. 113-134
  204. Burgin, M. and Rocchi, P. Basic Concepts of the Theory of Ample Probability, UPI Journal of Mathematics and Biostatistics (UPI-JMB), v.2, No. 1, 2019, 28 p.
  205. Burgin, M. On Weak Projectivity in Arithmetic, European Journal of Pure and Applied Mathematics, v. 12, No. 4, 2019, pp. 1787-1810
  206. Rocchi, P. and Burgin, An Essay on the Prerequisites for the Probability Theory, Advances in Pure Mathematics, v.10, No.12, 2020, 20 p.
  207. Burgin, M. Elements of the Theory of Nested Named Sets, Theory and Applications of Mathematics & Computer Science, v. 10, No. 2, 2020, pp. 46 – 70
  208. Burgin, M. Triadic Automata and Machines as Information Transformers, Information, v. 11, No. 2, 2020, 102; doi:10.3390/info11020102
  209. Burgin, M. and Dodig-Crnkovic, G. Prolegomena to Operator Theory of Computation, Information, v. 11, No. 7, 2020, 349; doi:10.3390/info11070349
  210. Burgin, M. and Cárdenas-García, J.F. A Dialogue Concerning the Essence and Role of Information in the World System, Information, 11, No. 9, 2020, 406
  211. Burgin, M., Mikkilineni, R. and Phalke, V. Autopoietic Computing Systems and Triadic Automata: The Theory and Practice, Advances in Computer and Communications, v. 1, No. 1, 2020, pp. 16-35
  212. Burgin, M. Induction versus Deduction in Science, Computing, Literature and Art, LINKs-series, Special Edition 1, Unconventional Computing, 2021, pp. 40-43
  213. Burgin, M. and Mikkilineni, R. From Data Processing to Knowledge Processing: Working with Operational Schemas by Autopoietic Machines, Big Data Cogn. Comput., 2021, v. 5, 13 (https://doi.org/10.3390/bdcc5010013)
  214. Burgin, M. and Seaman, W. In the Circle of Sense and Nonsense: Through a Mathematical Model of Meaning, Leonardo, v. 55, No. 1, 2022, pp. 18–23 (online 2021: https://direct.mit.edu/leon/online-early)
  215. Burgin, M. Modelling distributive computation by selective machines, International Journal of Parallel, Emergent and Distributed Systems, v. 36, No.5, 2021, pp. 395 – 411 DOI: 10.1080/17445760.2021.1934837
  216. Burgin, M. Inductive Turing Machines of Higher Orders: Computability, Acceptability and Decidability, Research & Reviews: Discrete Mathematical Structures, v. 8, No. 2, 2021, 10 – 26
  217. Burgin, M. and Shtepel, M. On Totalization of Computable Functions in a Distributive Environment, International Journal of Parallel, Emergent and Distributed Systems, v. 37, No. 3, 2022, pp. 273-291 (online 2021) DOI: 10.1080/17445760.2021.2016754
  218. Burgin, M. Operations with Nested Named Sets as a Tool for Artificial Intelligence, Big Data Cogn. Comput., 2022, v. 6, No. 2, 37 (https://doi.org/3390/bdcc6020037)
  219. Burgin, M. Languages generated by an abstract automaton and Jaina logic, Innovations in Android and IOS Application, v. 2, No. 1, 2022, pp. 1 – 18
  220. Burgin, M. and Mikkilineni, R. Seven layers of computation: Methodological analysis and mathematical modelling, Filozofia i Nauka, Studia filozoficzne i interdyscyplinarne (Philosophy and Science, Philosophic and interdisciplinary studies), v. 10, Special Issue, 2022, pp. 6 – 31

 

 

C. Papers and Chapters in books

  1. Burgin, M. and Kharlamov M.A. Connections Between Relations and their Applications in Computer Science, in “Problems of information theory and practice,” Moscow, 1978, pp. 84-93      (in Russian)
  2. Burgin, M. and Kharlamov M.A. Preclosures and  closures of relations,  in “Problems  of  Optimal Algorithm Realization”, Kiev, 1979, pp. 19-35     (in Russian)
  3. Burgin, M.S. and Slyusar, V.I. Structured organization of frames for knowledge base construction, in “Knowledge representation in Artificial Intelligence Systems,” Moscow, 1980, pp. 21-24 (in Russian)
  4. Burgin, M.S. and Chelovsky, Yu.A. Quantitative estimations of the program quality, in “Information retrieval systems and systems of data base management systems,” Kishinev, 1982, pp. 6-8      (in Russian)
  5. Burgin, M.S. and Chelovsky, Yu.A. Estimation of dynamic program characteristics, in “Dialogical mode in planning,” Kiev, 1982,   91-96      (in Russian)
  6. Burgin, M. , Bratalskii, E.A., and Belkov, M.S. Problems of multi-access memory organization, in “Automated control systems,” Kharkov, 1983, No. 68, pp. 79-85 structures        (in Russian)
  7. Burgin, M. Extensions of Relations, in “Mathematical Linguistics and the Theory of Algorithms,” Kalinin, 1983, pp. 5-12      (in Russian)
  8. Burgin, M.S. and Kharlamov, M.A. Operators of closure for relations and binary operations, in “Operation research and Automated Control Systems,” Kiev, 1983, pp. 20-29         (in Russian)
  9. Burgin, M. and Chelovsky, Yu. Quality of the Automated Control System Software, in “Perspectives of the Automated Control System Development,” Kiev, 1984, pp. 58-66 (in Russian)
  10. Burgin, M., Sadovskii, L.E. and Arshinov, M.N. Problems of purpose determination in models of organizations and transport systems, in “Mathematical methods of transport problem solving,” Moscow, 1984, pp. 3-15                        (in Russian)
  11. Burgin, M. Computational Complexity Measures and Quality of Programs, in “Reliability and quality of software,” Kiev, 1985, pp. 28-30       (in Russian)
  12. Burgin, M. and Sadovskii, L.E. Formal models of systems with variable structures, in “Problems of system techniques,” Leningrad, 1985, pp. 117-121      (in Russian)
  13. Burgin, M. Abstract theory of properties, in “Non-classical Logics,” Moscow, 1985, pp. 109-118     (in Russian)
  14. Burgin, M.S. and Kuznetsov, V.I. Functional extensions of scientific theories, in “Nonclassical Logics,” Moscow, 1985, pp. 119-127 (in Russian)
  15. Burgin, M.S. and Kuznetsov, V.I. Rationality principles and the problem of their modeling, in “Methodological aspects of scientific research,” Kiev, 1985, pp. 3-17      (in Russian)
  16. Burgin, M.S. and Kuznetsov, V.I. System analysis of scientific theory based on the named set idea, in “Systems research. 1985”, Moscow, 1986, pp. 136-160 (in Russian)
  17. Burgin, M.S. and Kuznetsov, V.I. Types of Symmetries in Physical Theories, in “Group-Theoretical Methods in Physics,”  2, Moscow, 1986, pp. 362-371       (in Russian)
  18. Burgin, M.S. and Stepenko, G.V. Computer literacy as a base for technical creative work perfection, in “Directions of technical creative work perfection and learning of informatics,” Ternopol, 1986, pp. 199-201 (in Russian)
  19. Burgin, M.S. and Kuznetsov, V.I. Structure-nominative analysis of mathematical theories, in “Modern Mathematics,” Moscow, 1986, pp. 273-286        (in Russian)
  20. Burgin, M. Quantifiers in the Theory of Properties, in “Nonstandard Semantics of Non-classical Logics,”  Moscow, 1986, pp. 99-107          (in Russian)
  21. Burgin, M. Relations between functionally equivalent operators of parallel information processing, in “Models and Systems of Information Processing,” Kiev, 1986, pp. 20-27           (in Russian)
  22. Burgin, M. and Bratalskii, E.A. The principle of asymptotic homogeneity in complex system modeling,  in  “Operation Research and Automated Control Systems,” Kiev, 1986, pp. 115-122             (in Russian)
  23. Burgin, M. Functor semantics in categories of named sets, in “Rationality, Reasoning, Communication,” Kiev, 1987, pp. 183-198 (in Russian)
  24. Burgin, M. and Chelovsky, Yu. Software quality evaluation and management problems,  in “Software of Integrated Automated Control Systems,” Kiev, 1987, pp. 64-69   (in Russian)
  25. Burgin, M.S., Kuznetsov, V.I. and Stepenko, G.V. The notion of data in computer science and programming, in “Formation of Computer Literacy,” Kiev, 1987, pp. 92-98 (in Ukrainian)
  26. Burgin, M. and Kuznetsov, V.I. Heuristic procedures  in scientific theories,  in “Intuition, Logic, Creativity,”  Moscow, 1987,       139-148              (in Russian)
  27. Burgin, M. and Kuznetsov, V.I. The model aspect of evolution of geometry, in “Methodological analysis of mathematical theories,” Moscow, 1987, pp. 205-213     (in Russian)
  28. Burgin, M. and Kuznetsov, V.I. Operational aspects of scientific theory, in “Rationality, Reasoning, Communication,” Kiev, 1987,  126-141      (in Russian)
  29. Burgin, M. and Kuznetsov, V.I. Problems as components of the problem-heuristic subsystem of a scientific theory, in “Scientific Knowledge: logic, concepts, and structure,” Novosibirsk, 1987, pp. 52-83      (in Russian)
  30. Burgin, M. and Kuznetsov, V.I. Problems in structures of scientific theories, in “Nonclassical Logics and Propositional Attitudes,” Moscow, 1987, pp. 101-109      (in Russian)
  31. Burgin, M. An Algorithmic Approach to the Function Definition, in “Formation of Computer Literacy,” Kiev, 1987, pp. 68-74       (in Ukrainian)
  32. Burgin, M. Initial Stages of Problem Solving, in “Methods of mathematics and physics teaching,” Kiev, 1988, pp. 77-84           (in Ukrainian)
  33. Burgin, M. and Kuznetsov, V.I. On system-mathematical modeling of mathematics development, in “ Philosophical problems of modern science”, Kiev, 1988, pp. 47-54 (in Russian)
  34. Burgin, M. and Kuznetsov, V.I. Scientific cognitive systems and the problem of their modeling, Methodological Consciousness in Modern Science, Kiev, 1989, pp. 123-135     (in Russian)
  35. Burgin, M. and Gladun, V.P. Mathematical Foundations of Semantic Networks Theory, Mathematical Fundamentals of Database Systems, Lecture Notes in Computer Science, 1989, v. 364, pp. 117-135
  36. Burgin, M.S. and Kuznetsov, V.I. Named set theory as the tool for logic-methodological analysis, in “Methodological Consciousness in Modern Science”, Kiev, 1989, pp. 135-171 (in Russian)
  37. Burgin, M. and Kuznetsov, V.I. Methodological models of scientific knowledge, Methodological Consciousness in Modern Science, Kiev, 1989, pp. 199-308       (in Russian)
  38. Burgin, M.S. and Kuznetsov, V.I. Theoretic-structural foundations of unity of social and scientific cognition, Social Cognition: Principles,  Forms  and Functions, Kiev, 1989, pp. 90-107  (in Russian)
  39. Burgin, M.S. and Kuznetsov, V.I. On the system peculiarities of physical theory, Science: System Features and Dynamics, Moscow, 1990, pp.154-167       (in Russian)
  40. Burgin, M.S. and Kuznetsov, V.I. Levels of Theoreticity in Scientific Cognition. Introduction, in “Studies on Logic of Scientific Cognition”, Moscow, 1990, pp. 31-42 (in Russian)
  41. Burgin, M. and Gladun, V.P. Elements of the Mathematical Theory of Semantic Networks, in “Knowledge-Dialog-Decision,” Kiev, 1990, pp. 173-184        (in Russian)
  42. Burgin, M.S. and Kuznetsov, V.I. Mathematical Modeling of Scientific Concept Formation and Development, in “Knowledge-Dialog-Decision,” Kiev, 1990, pp. 185-201             (in Russian)
  43. Burgin, M. and Gladun, V.P. Mathematical models of semantic networks based on the named sets, in “Decision Support Systems,” Budapest, 1990, pp. 81-96     (in Russian)
  44. Burgin, M. Abstract Theory of Properties and Sociological Scaling, in “Expert Evaluation in Sociological Studies,” Kiev, 1990, pp. 243-264                               (in Russian) 
  45. Burgin, M.S. and Kuznetsov, V.I. System Organization of Data and Knowledge Bases, in “Data and Knowledge Bases in Automated Systems,” Kiev, 1991, pp. 149-157         (in Russian)
  46. Burgin, M.S. and Kuznetsov, V.I. Scientific knowledge in the expert system “NT-1”, in  “Software”, Tver, 1991, pp. 77-82     (in Russian)
  47. Burgin, M. Dual complexity measures and expert system functioning, in “Problem solving in intelligent computer media,” Kiev, 1991, pp. 118-126        (in Russian)
  48. Burgin, M.S. and Gorsky, D.P. Towards the construction of a general theory of concept, in “The Opened Curtain”, Oulder-San Francisco-Oxford, 1991, pp. 167-195
  49. Burgin, M. and Markov, K. A formal definition of materialization, in “Mathematics and Education in Mathematics”, Sofia, 1991, pp. 175-179                (in Russian)
  50. Burgin, M.S. and Kuznetsov, V.I. System Analysis of the Problem aspects of Scientific Theory, in “Systems Research, 1991”, Moscow, 1991, pp. 162-183                                                     (in Russian)
  51. Burgin, M.S. and Kuznetsov, V.I. Reflection of knowledge and cognition, in Philosophy of reflexive thinking, Novosibirsk, 1992,   28-46      (in Russian)
  52. Burgin, M.S. and Kuznetsov, V.I. The Structure-Nominative Direction in Methodology of Science (1984-1991), Methodological Conceptions and Schools in the USSR  (1951-1991), Novosibirsk, 1992, pp. 111-130             (in Russian)
  53. Burgin, M. Reflexive Calculi and Logic of Expert Systems, in Creative processes modeling by means of knowledge bases, Sofia, 1992, pp. 139-160  (in Russian)
  54. Burgin, M. Complexity measures in the axiomatic theory of algorithms, in “Methods of design of applied intelligent program systems,” Kiev, 1992, pp. 60-67       (in Russian)
  55. Burgin, M.S. and Kuznetsov, V.I. Nomological Structures Modeling in Intelligent Systems, in “Intelligent Systems and Methodology”, Novosibirsk, 1992, pp. 116-133                (in Russian) 
  56. Burgin, M. The structure of innovation processes and innovation characteristics, in “Intellectual development of organizations”, Novosibirsk, 1992, pp. 137-150  (in Russian)
  57. Burgin, M. Named sets as a mathematical apparatus for a data structure representation, in “Problem solving on mathematical models of object domains,” Kiev, 1992, pp. 13-21  (in Russian)
  58. Borodyanskiy, Yu.M. and Burgin, M.S. Social processes and limit computations, in “Catastrophe, Chaos, and Self-Organization in Social Systems,” Koblenz, 1993, pp. 117-123
  59. Burgin, M. Procedures of sociological measurement, in “Catastrophe, Chaos, and Self-Organization in Social Systems” Koblenz, 1993, pp. 125-129
  60. Burgin, M. and Tkachenko, O.I. Data and knowledge in software systems, in “Intelligent Instrumental Programming Tools,” Kiev, 1993, pp. 72-80 (in Russian)
  61. Burgin, M.S. and Kuznetsov, V.I. A formal aesthetic for scientific discourse, in Anglo-Ukrainian Studies of Scientific Discourse, Reason and Rhetoric, The Edwin Mellen Press, New York, 1993, pp. 69-93
  62. Burgin, M.S. and Kuznetsov, V.I. Directions and stages of evolution of biosphere and knowsphere, in “Academician V.I.Vernadsky’s Readings” (Collection of scientific papers), Kiev, 1994, pp. 131-140 (in Russian)
  63. Burgin, M.S. and Kuznetsov, V.I. Knowledge Representation in Intelligent Systems, in “Intellect, man, and computer,” Novosibirsk, 1994, pp. 35-56  (in Russian)
  64. Burgin, M.S. and Stepenko, G.V. Psychological Base of Giftedness in Studies of Western Researchers, in “Modern Problems of Theory and Practice of Schools and Pedagogy”, Kiev, 1994, pp. 52-60 (in Ukrainian)
  65. Burgin, M.S. and Burgina, L.A. Communication in Culture and Culture of Communication, in “Education and Culture”, Novosibirsk, 1994, pp. 154-167                   (in Russian)
  66. Burgin, M. Intellectual activity and pupils development, in Psychological Foundations of Education Humanization, Rivne, 1995, pp. 30-36             (in Ukrainian)
  67. Burgin, M. Static and Dynamic Approach to Person’s Intelligence,  in Ukrainian Psychology: Modern Potential, Kiev, 1996, pp. 154-159            (in Ukrainian)
  68. Burgin, M.S. and Ball, G.A. Strategies of Psychological Influence in Conflict Situations in Pedagogical Systems, in Conflicts in Pedagogical Systems, Vinnitsa, 1997, 3 p. (in Ukrainian)
  69. Burgin, M. Conflicts in Pedagogical Systems: a Methodological Analysis, in Conflicts in Pedagogical Systems, Vinnitsa, 1997, 4 p. (in Ukrainian)
  70. Burgin, M. Information Measurement in Information Retrieval Systems, in “Library and Bibliographic Classifications and Information Retrieval Systems,” Kiev, 1995, pp. 24-25 (in Ukrainian)
  71. Burgin, M.S. and Kuznetsov, V.I. Theoretic-nomological structures of sociological knowledge, Social regularities and their action, Kiev, 1995, pp. 142-154     (in Ukrainian)
  72. Burgin, M. Mathematical Theory of Technology, in “Methodological and Theoretical Problems of Mathematics and Informatics (Computer Science),” Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 91-100    (in Russian)
  73. Burgin, M. and Chunihin, A. Yu. Named Sets in the Analysis of Uncertainty, in Methodological and Theoretical Problems of Mathematics and Informatics (Computer Science), Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 72-85               (in Russian)
  74. Burgin, M. Logical Varieties and Covarieties, in “Methodological and Theoretical Problems  of Mathematics and Information Science,” Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 18-34      (in Russian)
  75. Burgin, M. Paraconsistent Logics and Logical Varieties, in “On the Nature and Essence of Mathematics, Appendix,” Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 109-112 (in Russian)
  76. Burgin, M.S. and Milov, Yu. Grammatical Aspects of Language in the Context of the Existential Triad Concept, On the Nature and Essence of Mathematics, Appendix, Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 136-142
  77. Burgin, M.S. and Kuznetsov, V.I. Methodological Models of Cognitive Systems, in Methodological Problems of Science of Science, Dobrov Center, Kyiv, 2001, pp. 227-250 (in Russian)
  78. Burgin, M. Measuring Power of Algorithms, Programs, and Automata, in “Artificial Intelligence and Computer Science”, Nova Science Publishers, New York, 2005, pp. 1-61
  79. Burgin, M. and Eberbach, E. On Foundations of Evolutionary Computation: An Evolutionary Automata Approach, in Handbook of Research on Artificial Immune Systems and Natural Computing: Applying Complex Adaptive Technologies (Hongwei Mo, Ed.), Section II: Natural Computing, Section II.1: Evolutionary Computing, Chapter XVI, Medical Information Science Reference/IGI Global, Hershey, Pennsylvania, 2009, pp. 342-260
  80. Burgin, M. and Smith, M.L. A Theoretical Model for Grid, Cluster and Internet Computing, in Selected Topics in Communication Networks and Distributed Systems, World Scientific, New York/London/Singapore, 2010, pp. 485 – 535
  81. Burgin, M. and Dodig-Crnkovic, G. Information and Computation – Omnipresent and Pervasive, in Information and Computation, World Scientific, New York/London/Singapore, 2011, pp. vii – xxxii
  82. Burgin, M. Information Dynamics in a Categorical Setting, in Information and Computation, World Scientific, New York/London/Singapore, 2011, pp. 35 – 78
  83. Burgin, M. and Eberbach, E. Recursively Generated Evolutionary Turing Machines and Evolutionary Automata,  in Artificial Intelligence, Evolutionary Computing and Metaheuristics, Studies in Computational Intelligence, v. 427, Springer-Verlag, Berlin/Heidelberg, 2013, pp. 201-230
  84. Burgin, M. Computational Technosphere and Cellular Engineering, in Irreducibility and Computational Equivalence, Springer, Heidelberg/New York/ Dordrecht/London, 2013, pp. 113 – 124
  85. Burgin, M. and Dodig-Crnkovic, G. From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations, in Computing Nature, Studies in Applied Philosophy, Epistemology and Rational Ethics, v. 7, Springer-Verlag, Berlin/Heidelberg, 2013, pp. 241-254
  86. de Vey Mestdagh, C.N.J. and Burgin, M. Reasoning and Decision Making in an Inconsistent World: Labeled Logical Varieties as a Tool for Inconsistency Robustness, in (R. Neves-Silva, L.C. Jain and R. J. Howlette, Eds) Intelligent Decision Technologies, series Smart Innovation, Systems and Technologies, Springer, 2015, v. 39, pp. 411-438
  87. Burgin, M. and Krinik, A.C. Hyperexpectation in Axiomatic and Constructive Settings, in Functional Analysis and Probability (M. Burgin, Ed), Chapter 12, Nova Science Publishers, New York, 2015, pp. 259 – 288
  88. Burgin, M. Picturesque Diversity of Probability, in Functional Analysis and Probability (M. Burgin, Ed), Chapter 14, Nova Science Publishers, New York, 2015, pp. 301 – 354
  89. Burgin, M. and Dantsker, A.M. Real-Time Inverse Modeling of Control Systems Using Hypernumbers, in Functional Analysis and Probability (M. Burgin, Ed), Chapter 17, Nova Science Publishers, New York, 2015, pp. 439 – 456
  90. Burgin, M. Inductive Complexity and Shannon Entropy, in Information and Complexity, World Scientific, New York/London/Singapore, 2016, pp. 16 – 32
  91. Burgin, M. Decreasing Complexity in Inductive Computations, in Advances in Unconventional Computing, series Emergence, Complexity and Computation, v. 22,  Springer, New York, 2017, pp. 183-203
  92. Burgin, M. and Hofkirchner, W. Sociology of Information Processes and the Development of Society, in The Future Information Society: Social and Technological Problems, World Scientific, New York/London/Singapore, 2017, pp. 1 – 7
  93. Burgin, M. Inaccessible Information and the Mathematical Theory of Oracles, in Information Studies and the Quest for Transdisciplinarity: Unity through Diversity, World Scientific, New York/London/Singapore, 2017, pp. 59 – 114
  94. Burgin, M. and Hofkirchner, W. Omnipresence of Information as the Incentive for Transdisciplinarity, in Information Studies and the Quest for Transdisciplinarity: Unity through Diversity, World Scientific, New York/London/Singapore, 2017, pp. 1 – 7
  95. Burgin, M. An Introduction to Symmetric Inflated Probabilities, in Quantum Interaction (de Barros, J. A., Coecke, B. and Pothos, E., Eds.),Theoretical Computer Science and General Issues, v. 10106, Springer, 2017, pp. 206 – 223
  96. Burgin, M. Information-Oriented Analysis of Discovery and Invention in Mathematics, in Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific, New York/London/Singapore, 2019, pp. 171 – 199
  97. Burgin, M. Inductive Turing Machines, in Unconventional Computing (Adamatzky, A.; Ed), A volume in the Encyclopedia of Complexity and Systems Science, Springer, Berlin/Heidelberg, 2018, pp. 675-688
  98. Burgin, M. Analytical Linguistics and Formal Grammars: Contributions of Solomon Marcus and Their Further Developments, in Mathematics Almost Everywhere (Bellow, A., Calude, C. S. and Zamfirescu, T., Eds), 2018, pp. 183-192
  99. Burgin, M. Evaluation of information in the context of decision-making, in Information Quality in Information Fusion and Decision Making (Bosse, E. and Rogova, G.; Eds), 2019, pp. 279 – 293
  100. Dodig-Crnkovic, G. and Burgin, M. The Study of Information in the Context of Knowledge Ecology, in Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific, New York/London/Singapore, 2019, pp. IX – XXII
  101. Díaz-Nafría, J.M., Burgin, M. and Rodriguez-Bravo, B. Knowledge Structures and Conceptual Networks for Evaluation of Knowledge Integration, in Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific, New York/London/Singapore, 2019, pp. 457 – 489
  102. Burgin, M. and Dodig-Crnkovic, G. A Multiscale Taxonomy of Information in the World, in Theoretical Information Studies: Information in the World, World Scientific, New York/London/Singapore, 2020, pp. 3–27
  103. Capurro, R. and Burgin, M. The Structure of the World, Unity of Nature and the Problem of Time, in Theoretical Information Studies: Information in the World, World Scientific, New York/London/Singapore, 2020, pp. 139–176
  104. Burgin, M. Information Processing by Structural Machines, in Theoretical Information Studies: Information in the World, World Scientific, New York/London/Singapore, 2020, pp. 323–371
  105. Burgin, M. Symmetric Automata and Computations, in Handbook of Unconventional Computing, World Scientific, New York/London/Singapore, 2021, pp. 405-444
  106. Burgin, M. and Zellweger, P. Nested Named Sets in Information Retrieval, in Advances in Data Science and Information Engineering, Springer, New York, 2021, pp. 451-467

 

 

D. Papers in proceedings

  1. Burgin, M. and Gabovich, E. Ya. On automation of the Pacific fishery information retrieval and processing, in Proceedings of the XIV Pacific Science Congress, Khabarovsk, 1979, pp. 26-29
  2. Burgin, M. and Chelovsky, Yu. Program Quality Estimation Based on Structural Characteristics, in Proceedings of the International Conference “Software”, Kalinin, 1984, pp. 79-81 (in Russian)
  3. Burgin, M. and Chelovsky, Yu. System reconstruction of scientific theories and named set theory, in “Theory, Methodology and Practice of Systems Research,” Moscow, 1984, pp. 129-132             (in Russian)
  4. Burgin, M.S. and Kuznetsov, V.I. Multilevel social determinacy of scientific knowledge systems development, in “Social determinacy of cognition,” Tallin,1985, pp. 63-67  (in Russian)
  5. Burgin, M. and Chelovsky, Yu. Evolution of theoretical aspects understanding in methodology of science,    in “Problems of history and methodology  of science,” pt.2, Moscow, 1986, pp. 89-92      (in Russian)
  6. Burgin, M. and Chelovsky, Yu. Quantum properties  and structures representing them,  in “Modern philosophical problems of quantum physics,” Kharkov, 1986   (deposited in INION of the National Academy of the USSR, in Russian)
  7. Burgin, M. and Chelovsky, Yu. The structure-nominative reconstruction of a physical theory, in “Modern philosophical problems of quantum physics,” Kharkov, 1986               (deposited in INION of the National Academy of the USSR, in Russian)
  8. Burgin, M.S. and Kuznetsov, V.I. Heuristics and Heuristic Aspects in a Scientific Theory, in Proceedings of the V Seminar on Problems of Creativity: Methodology and Theory, Simferopol, 1986, pp. 100-103 (in Russian)
  9. Mashtabey, V.Ya., Burgin, M.S. and Lebed, V.V. Expert system “Sale Market”, in “Expert Systems”, Moscow, 1986, pp. 126-129 (in Russian)
  10. Burgin, M.S. and Kuznetsov, V.I. Concept modeling in historical aspects, in “Philosophical Problems of Logic and Science,” pt. 2, Moscow, 1986, pp. 85-88             (in Russian)
  11. Burgin, M. and Chelovsky, Yu. Methods of program quality evaluation, in Proceedings of the II International Conference “Software”, Kalinin, 1987, pp. 40-42 (in Russian)
  12. Burgin, M.S. and Kuznetsov, V.I. Knowledge representation in expert systems, in Proceedings of the II International Conference “Software”, Kalinin, 1987, pp. 151-154 (in Russian)
  13. Burgin, M. The notion of algorithm and the Church-Turing thesis, in Proceedings of the VIII International Congress on logic, methodology and philosophy of science, Moscow, 1987, v. 5, part 1, pp. 138-140
  14. Burgin, M. and Kuznetsov, V.I. Models, laws, and principles in physical theories, VIII International Congress on Logic, Methodology and Philosophy of Science, Moscow, 1987, v.2, pp. 67-69
  15. Burgin, M. and Kuznetsov, V.I. Scientific theory and its axiology, VIII International Congress on Logic, Methodology and Philosophy of Science, Moscow, 1987, v.4, part 1, pp. 116-118
  16. Burgin, M. and Kuznetsov, V.I. Informal and formal analysis of concepts, in “Berichte des 12 International Wittgenstein Symposium,”  Wien, 1988, pp. 163-166
  17. Burgin, M. and Kuznetsov, V.I. Theoreticity, constructivity, and other properties of scientific theory elements, Preprints of Soviet Scientists for the XVIII World Philosophical Congress (Brighton, 1988), Moscow, 1988, pp. 46-52        (in Russian)
  18. Mashtabey, V.Ya., Burgin, M.S., and Lebed, V.V. Automated Data Processing System and Prognosis of Export Utilities Results, in “Marketing: theory, methodology, practice,”   Moscow, v. 17, 1988, pp. 91-94                      (in Russian)
  19. Burgin, M. and Kuznetsov, V.I. Concepts in cognitive systems and their structure-nominative models, in “Theory of cognition and logic”, Works of soviet scientists to the XVIII International Congress of Philosophy (Brighton,1988),  Moscow, 1988, pp. 52-58     (in Russian)
  20. Burgin, M.S. and Stepenko, G.V. Teacher in the Information World, in “Problems of postgraduate education perfection,” Grodno, 1988, pp. 18-20          (in Russian)
  21. Burgin, M.S. and Dmitrik, I.S. Pedagogical Technology as a Base for Pedagogical Creativity, in “Creativity and Pedagogy,” pt. 2, Moscow, 1988, pp. 19-21        (in Russian)
  22. Burgin, M.S. and Stepenko, G.V. Computer Programs as a Tool for Creativity Development in Education, in “Creativity and Pedagogy,” pt.2, Moscow, 1988, pp. 42-44    (in Russian)
  23. Burgin, M. Levels of Creativity and Pedagogical Problems, in “Creativity and Pedagogy,” pt. 3, Moscow, 1988, pp. 59-61        (in Russian)
  24. Burgin, M. Intellectual activity in creative work, in Forms of knowledge representation and creative thinking, Novosibirsk, 1989, pp. 53-56 (in Russian)
  25. Burgin, M.S. and Kuznetsov, V.I. Creative work of inventor and knowledge systems, in “Human factor in scientific progress acceleration,” Novosibirsk, 1989, pp.211-214     (in Russian)
  26. Burgin, M.S. and Kuznetsov, V.I. The Heuristic Component of a Scientific Knowledge System, in Proceedings of the VI Seminar on Creativity Problems, Simferopol, 1989, pp. 83-85 (in Russian)
  27. Burgin, M.S., Kostyukevich, D.Ya., and Finn, A. Z. Computer simulation of a physical process in educational environment, in Computers in school, Novosibirsk, 1989, pp. 133-134                                                (in Russian)
  28. Burgin, M.S., Kostyukevich, D.Ya., and Finn, A. Z. Didactical aspects of computers application in practical work in physics training at school, in   Computers in school,  Novosibirsk, 1989, pp. 144-146               (in Russian)
  29. Burgin, M.S. and Kuznetsov, V.I. Logical and Structural Principles of Knowledge, in Proceedings of the Conference on Intelligent Management Systems, Varna, 1989, pp. 266-272
  30. Burgin, M. Knowledge in Intelligent Systems, in Proceedings of the Conference on Intelligent Management Systems, Varna, 1989, pp. 281-286
  31. Burgin, M.S. and Kuznetsov, V.I. Scientific Knowledge and the Expert System “NT-1”, III International Conference  “Software”, pt.4, Tver, 1990, pp. 22-25          (in Russian)
  32. Burgin, M. and Kuznetsov, V.I. The Structure-nominative Analysis of Scientific Theories and its Heuristic Possibilities, Assimilation and conceptual design of intellectual systems, Moscow, 1990, pp. 5-8                    (in Russian)
  33. Burgin, M. and Kuznetsov, V.I. Laws in the social theory structure, Assimilation and conceptual design of intellectual systems, Moscow, 1990, pp. 116-119       (in Russian)
  34. Burgin, M.S. and Marchenko, A.B. Axiology in scientific creativity, in “Monistic Tradition and Modernity”, Kazan, 1990, pp. 109-112 (in Russian)
  35. Burgin, M. Creative Potential of Personality and its Development, in “Problems of creativity psychology, “ Grodno, 1990, pp. 65-68                      (in Russian)
  36. Burgin, M.S. and Kuznetsov, V.I. Scientific creativity and its regularities (an example of scientific concepts development), Intelligent Systems and Creativity, pt.2, Novosibirsk, 1990, pp. 82-85                           (in Russian)
  37. Burgin, M.S. and Gladun, V.P. Mathematical Modeling of Knowledge Representation Structures in Artificial Intelligence Systems, in  “Methodology of Mathematical Modeling,”  Sofia, 1990, pp. 317-319        (in Russian)
  38. Burgin, M. and Kuznetsov, V.I. Methodology of Science and History of Science, XIII International Symposium on science about science and scientific prediction, pt.1, Kiev, 1990, pp. 12-16        (in Russian)
  39. Burgin, M. and Kuznetsov, V.I. On Structural Unity of Mathematical and Physical Theories, in Structures in Mathematical Theories, San Sebastian, 1990, pp. 19-22
  40. Burgin, M.S. and Neishtadt, L.A. Communication culture as a premise for intellectual systems development, in “Problems of organizational systems intellectual development,” Novosibirsk, 1991, pp. 158-160 (in Russian)
  41. Burgin, M.S. and Pichurin, V.V. Personality determinants diagnostics in intellectual progress, in “Problems of organizational systems intellectual development”, Novosibirsk, 1991, pp. 321-324                  (in Russian)
  42. Burgin, M.S. and Kuznetsov, V.I. Science as an Organization, in  Problems of organizational systems intellectual development, Novosibirsk, 1991, pp. 177-180           (in Russian)
  43. Burgin, M. and Kuznetsov, V.I. Methodology of science as a base for science management, in Problems of organizational system intellectual development, Novosibirsk, 1991, pp. 23-26       (in Russian)
  44. Burgin, M.S. and Kuznetsov, V.I. Conceptual analysis of scientific activity, Problems of human activity optimization and organization, pt.1, Novosibirsk,1991, pp. 275-279       (in Russian)
  45. Burgin, M.S. and Kuznetsov, V.I. Reflection as a necessary condition of human inclusion in intelligent systems, in “Problems of effective human inclusion in intelligent systems”, Novosibirsk, 1991, pp. 262-264                (in Russian)
  46. Burgin, M.S. and Stognii, A.A. Technological approach  to human  activity, in “Problems of human activity optimization and organization,” pt.2, Novosibirsk, 1991, pp. 227-231 (in Russian)
  47. Burgin, M. Named Sets in the Semantic Network Theory, in “Knowledge – Dialog – Decision,”  Leningrad, 1991, pp. 43-47       (in Russian)
  48. Burgin, M.S. and Borodyanskiy, Yu.M. Procedural models of human-database interaction, II International conference “Knowledge-Dialogue-Decision”, Kaliningrad, 1992, pp. 4-18
  49. Burgin, M. Fuzzy continuous functions in object classification, 1st European Congress on fuzzy and intelligent technologies, Proceedings, Aachen, 1993, pp. 1189-1195
  50. Burgin, M. and Kuznetsov, V.I. Types of fuzzy nomological structures, 1st European Congress on fuzzy and intelligent technologies, Proceedings, Aachen, 1993, pp. 1625-1631
  51. Burgin, M. and Kavunenko, L.F. Conceptual foundations of S&T potential evaluation processes, in “Proceedings of the International Congress on System Science and System Engineering,” Beijing, 1993, pp. 133-135
  52. Burgin, M. and Malitstskii, B.A. System analysis of the organizational level of science, in “Proceedings of the International Congress on System Science and System Engineering,” Beijing,  1993,   529-530
  53. Burgin, M.S. and Kuznetsov, V.I. On methodological analysis of sociological theories, Die Verschmelzung der untersuchungsbereiche: Formen des Dialogs zwischen Kulturwissenschaft und Wissenschaftstheorie, Frankfurt am Main, 1993, pp. 49-61
  54. Burgin, M. and Kavunenko, L.F. A two-sided cooperation of scientists from Ukraine and China, Ukraine-China: ways of cooperation (Conference Proceedings), Kiev, 1994, pp. 74-81     (in Ukrainian)
  55. Burgin, M. and Korenoj, A.A. Scientometrics as a Scientific Field, in “Transactions of the International Symposium “Development of Science and Technology: Socio-Economic Reasonability and Ecological Safety”, Kiev, 1994, pp. 24-25
  56. Burgin, M. Fuzzy terminological systems, 2nd European Congress on Intelligent Technologies and Soft Computing, Proceedings, Aachen, 1994, pp.  984-988
  57. Burgin, M. Problems of Organization in Science, Reports of the International Symposium “Development of Science and Transformations in Society”, Kiev, 1994, pp. 28-33
  58. Burgin, M. and Malitstskii, B.A. Problems of Organization in Science, in Reports of the International Symposium “Development of Science and Transformations in Society”, Kiev, 1994, pp. 28-33                (in Russian)
  59. Burgin, M. and Kavunenko, L. Conceptual Problems of Evaluation in Science, in Reports of the International Symposium “Development of Science and Transformations in Society”, Kiev, 1994, pp. 34-38   (in Russian)
  60. Burgin, M. System Organization of Reflection, in “Reflection, Education and Intellectual Innovations,” Novosibirsk, 1995, pp. 220-224     (in Russian)
  61. Burgin, M. Diagnostics of social and political conflicts, in  Conflicts in society: diagnostics and prevention, Kiev, 1995, pp. 174-179                  (in Ukrainian)
  62. Burgin, M.S. and Burgina, L.A. Businessmen Training in Communication, Psychological Support of Business, Odessa, 1996, 96-98     (in Russian)
  63. Burgin, M. Dependencies in Sets of Fuzzy Properties and System Modeling, in Proceedings of the 4th European Congress on Intelligent Technologies and Soft Computing, Aachen, Germany, 1996, pp. 55 – 59
  64. Burgin, M.S. and Glushchenko, V. A. Decision Making Based on Function Fluctuation Measurement, 5th European Congress on Intelligent Technologies and Soft Computing, Proceedings, Aachen, Germany, 1997, pp. 1666-1670
  65. Burgin, M. Optimization of the Scientific Library Catalogues Content, in “Problems of Scientific Library Catalogues Improvement,” Kyiv, 1997, pp. 73-75  (in Ukrainian)
  66. Burgin, M. Measure Elaboration for Ecological Safety, in Transactions of the International Symposium “Science and Technology in Conditions of Economy Reforms”, Kiev, 1997, pp. 133-134               (in Russian)
  67. Burgin, M. and Valkman,Yu. R. Principles of Scientific Library Catalogues Intellectualization, in “Problems of Scientific Library Catalogues Improvement”, Kyiv, 1997, pp. 97-99 (in Russian)
  68. Burgin, M. and Parfenzeva, N.A. Problems of Collecting and Utilization of Information in Statistics, in “Creation, integration, utilization of information resources for innovative development,” Kiev, 1997, pp. 8-10                (in Russian)
  69. Burgin, M., Parfenzeva, N.A. and Gladkova, V.I. New Information Technologies of Modeling, Elaboration, and Maintenance of Classifications in Statistics, in “Creation, integration, utilization of information resources for innovative development,”  Kiev, 1997, pp. 41-43       (in Russian)
  70. Burgin, M. Duality between Information and Energy, in “Creation, integration, utilization of information resources for innovative development,” Kiev, 1997, pp. 101-103   (in Russian) 
  71. Burgin, M. Conflicts in a Political Environment: Evaluation and Diagnostics, in Urgent Problems of the State Power Reform, Kyiv, 1997, pp. 261-163 (in Ukrainian)
  72. Burgin, M. Techno-Ecology and Problems of Education, in “Intellectual Innovations in Society and Development of Education,” Novosibirsk, 1997, pp. 175-178    (in Russian)
  73. Burgin, M. Fuzzy Logical Structures as a Tool for Multivariate Decision Making, 6th European Congress on Intelligent Technologies and Soft Computing (EUFIT), Proceedings, v. 2, Aachen, 1998, pp. 1116-1120
  74. Burgin, M.S. and Glushchenko, V. A. Composition Decision Making in Fuzzy Conditions, 6th European Congress on Intelligent Technologies and Soft Computing (EUFIT), Proceedings, v. 1, Aachen, 1998,  169-173
  75. Burgin, M. Interaction of Cultures in the Named Set Context, in “Language and Culture”, v.1, Kiev, 1998, pp. 35-40           (in Russian)
  76. Burgin, M. Literary Styles: Goal, Means, and Result, in “Language and Culture”, v.1, Kiev, 1998, pp. 40-42        (in Russian)
  77. Burgin, M. The Structure of Culture in Modern Society, in “Culture as a Living Whole”, Odessa, 1998, pp. 26-28    (in Russian)
  78. Burgin, M. Super-recursive Algorithms as a Tool for High Performance Computing, in “Proceedings of the High Performance Computing Symposium,” San Diego, 1999, pp. 224-228
  79. Burgin, M. and Westman, J. Fuzzy Calculus Approach to Computer Simulation: An Application to Control Problems, in “Proceedings of the Business and Industry Simulation Symposium,” Washington, 2000, pp. 41-46
  80. Burgin, M., Karplus, W. and Liu, D. Branching Simulation and Prediction, in “Proceedings of the Business and Industry Simulation Symposium,” SCS, Washington, 2000, pp. 47-52
  81. Burgin, M. Theory of Super-recursive Algorithms as a Source of a New Paradigm for Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,”   Washington, 2000, pp. 70-75
  82. Liu, D., Burgin, M. and Karplus, W. Computer Support System for Aneurysm Treatment, 13th IEEE Symposium on Computer -Based Medical Systems (CBMS 2000), IEEE Computer Society, Houston, Texas, 2000, pp. 13-18
  83. Burgin, M. Topological Algorithms, in Proceedings of the ISCA 16th International Conference on Computers and their Applications (CATA 2001), ISCA, Seattle, Washington, 2001, pp. 61-64
  84. Burgin, M., Liu, D. and Karplus, W. Branching Computation for in Medical Systems, in Proceedings of the ISCA 16th International Conference on Computers and their Applications (CATA 2001), ISCA, Seattle, Washington, 2001, pp. 481-484
  85. Liu, D., Burgin, M., Karplus, W. and Valentino, D.J. Large–Scale Flow Field Visualization in Medical Systems, in Proceedings of the 16th ACM Symposium on Applied Computing, Las Vegas, 2001, pp. 68-72
  86. Burgin, M. Mathematical Models for Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,” SCS, Seattle, Washington, 2001, pp. 111-118
  87. Burgin, M., Liu, D., and Karplus, W. Biology, Psychology, and Methodology for Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,”  SCS, Seattle, Washington, 2001, pp. 119-123
  88. Burgin, M., Liu, D. and Karplus, W. The Problem of Time Scales in Computer Visualization, in “Computational Science”, Lecture Notes in Computer Science, v. 2074, part II, 2001, pp.728-737
  89. Burgin, M. Parallel Processing for Branching Simulation, Proceedings of the 10th SIAM Conference on Parallel Processing for Scientific Computing, Portsmouth, Virginia, 2001 (electronic edition)
  90. Burgin, M. and Gantenbein, R.E. Knowledge Discovery, Information Retrieval, and Data Mining, in Proceedings of the ISCA 17th International Conference on Computers and their Applications (CATA 2002), International Society for Computers and their Applications, San Francisco, California, 2002, pp. 55-58
  91. Burgin, M. Knowledge and Data in Computer Systems, in Proceedings of the ISCA 17th International Conference on Computers and their Applications (CATA 2002), International Society for Computers and their Applications, San Francisco, California, 2002, pp. 307-310
  92. Burgin, M. Mathematical Models for Simulating Technological Processes, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2002, pp. 165-168
  93. Burgin, M. and Greibach, S. A. Abstract Automata as a Tool for Developing Simulation Software, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2002, pp. 176-180 Burgin, M. Information, Organization, and System Functioning, Proceedings of the 6th World Multiconference on Systemics, Cybernetics and Informatics, v. 2, Orlando, Florida, 2002, pp. 155-160
  94. Burgin, M. The Essence of Information: Paradoxes, Contradictions, and Solutions, Electronic Conference on Foundations of information Science (FIS 2002), 43 p. (http://www.mdpi.net)
  95. Burgin, M. The Essence of Information: A Multifaceted Image of Information, Electronic Conference on Foundations of information Science (FIS 2002), 21 p. (http://www.mdpi.net)
  96. Burgin, M. From Neural Networks to Grid Automata, in Proceedings of the IASTED International Conference ”Modeling and Simulation”, Palm Springs, California, 2003, pp. 307-312
  97. Burgin, M. Cluster Computers and Grid Automata, in Proceedings of the ISCA 17th International Conference on Computers and their Applications (CATA 2003), International Society for Computers and their Applications, Honolulu, Hawaii, 2003, pp. 106-109
  98. Burgin, M. and Debnath, N. Complexity of Algorithms and Software Metrics, in Proceedings of the ISCA 18th International Conference “Computers and their Applications”, International Society for Computers and their Applications, Honolulu, Hawaii, 2003, pp. 259-262
  99. Debnath, N. and Burgin, M. Software Metrics from the Algorithmic Perspective, in Proceedings of the ISCA 18th International Conference “Computers and their Applications”, International Society for Computers and their Applications, Honolulu, Hawaii, 2003, pp. 279-282
  100. Burgin, M. Levels of System Functioning Description: From Algorithm to Program to Technology, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Orlando, Florida, 2003, pp. 3-7
  101. Burgin, M. and Debnath, N. Complexity of Program Design and Utilization, in “Proceedings of the International Conference on Computer Science, Software Engineering, Information Technology, e-Business, and Applications (CSITeA’03),” Rio de Janeiro, Brazil, 2003, pp. 543-547
  102. Burgin, M. and Rybalov, A. Fuzzy Logical Varieties as Models of Thinking, Emotions, and Will, in “Proceedings of the 10th IFSA World Congress,” Istanbul, Turkey, 2003, pp. 31-34
  103. Burgin, M. and Tandon, A. Software Verification in Algebraic Setting, in “Proceedings of the 7th IASTED International Conference on Software Engineering and Applications”, Marina Del Rey, California, 2003, pp. 499-504
  104. Burgin, M. and Debnath, N. Hardship of Program Utilization and User-Friendly Software, in Proceedings of the ISCA 16th International Conference on Computer Applications in Industry and Engineering (CAINE-2003), International Society for Computers and their Applications, Las Vegas, Nevada, 2003, pp. 314-317
  105. Debnath, N. Feng, W., Cropper, J., Burgin, M., and Abachi, H. A Test Case Generator for Three-variable Functions: Object-Oriented Design and Implementation, in Proceedings of the ISCA 19th International Conference “Computers and their Applications”, ISCA, Seattle, Washington, 2004, pp. 113-117
  106. Burgin, M. and Debnath, N. Measuring Software Maintenance, in Proceedings of the ISCA 19th International Conference “Computers and their Applications”, ISCA, Seattle, Washington, 2004, pp. 118-121
  107. Burgin, M. and Eggert, P. Types of Software Systems and Structural Features of Programming and Simulation Languages, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 177-181
  108. Ades, M.J., Burgin, M. and DeShane, L.M. Individual, Group, and Interactive Optimization in a Form of Genetic Algorithms, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 182-186
  109. Burgin, M. Optimization Calculus, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 193-198
  110. Burgin, M. Age of People and Aging Problem, in Proceedings of the 26th Annual Conference of Engineering in Medicine and Biology Society, IEEE EMBS, San Francisco, California, 2004, pp. 655-658 (Abstract: in Digest of the 26th Annual Conference of Engineering in Medicine and Biology Society, p. 196)
  111. Burgin, M. Logical Tools for Program Integration and Interoperability, in Proceedings of the 8th IASTED International Conference on Software Engineering and Applications, MIT, Cambridge, 2004, pp. 743-748
  112. Burgin, M., Lee, H. K., and Debnath, N. Software Technological Roles, Usability, and Reusability, in Proceedings of the 2004 IEEE International Conference on Information Reuse and Integration, IEEE Systems, Man, and Cybernetics Society, Las Vegas, 2004, pp. 210-214
  113. Debnath, N., Burgin, M., Feng, W., Wilson, J. and Cropper, J. An Autotester for the Modified Nextdate Function Reusing a Test Case Generator, in Proceedings of the 2004 IEEE International Conference on Information Reuse and Integration, IEEE Systems, Man, and Cybernetics Society, Las Vegas, 2004, pp. 121-126
  114. Burgin, M. and Debnath, N. Quality of Software that does not Exist, in Proceedings of the ISCA 20th International Conference on Computers and their Applications, ISCA, New Orleans, Louisiana, 2005, pp. 441-446
  115. Burgin, M. Grammars with Prohibition and Human-Computer Interaction, in Proceedings of the Business and Industry Simulation Symposium, Society for Modeling and Simulation International, San Diego, California, 2005, pp. 143-147
  116. Ades, M. J. and Burgin, M. Homologies and Power of Genetic Algorithms and Genetic Programming, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2005, pp. 148-152
  117. Burgin, M. and Kugel, P. Simulation Software Creation by End User, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2005, pp. 148-152
  118. Burgin, M. and Zellweger, P. A Unified Approach to Data Representation, in Proceedings of the 2005 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2005, pp. 3-9
  119. Burgin, M. Superrecursive Hierarchies of Algorithmic Problems, in Proceedings of the 2005 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2005, pp. 31-37
  120. Burgin, M. Is Information Some Kind of Data? Proceedings of the Third Conference on the Foundations of Information Science (FIS 2005), Paris, France, July, 2005, pp. 1-31 (http://www.mdpi.net/fis2005/proceedings.html)
  121. Debnath, N.C., Barrera, M.A., Burgin, M., Wilson, J., and Cropper, J. Java Autotester for the Triangle Function, Proceedings of the ISCA 14th International Conference on Intelligent and Adaptive Systems and Software Engineering, Toronto, Canada, 2005, pp. 190-195
  122. Debnath, N.C., Lee, H.K., Burgin, M., and Thiemann, E. A testing and Analysis Tool for Certain 3-variable Functions, Proceedings of the IEEE International Conference on Information Reuse and Integration, Las Vegas, Nevada, USA, 2005, pp. 560-565
  123. Burgin, M., Cohen, M.E., and Hudson, D.L. Intelligent Agent Technique in Age Related Measurements, ISCA 18th International Conference on Computer Application in Industry and Engineering, Honolulu, Hawaii, 2005, pp. 129-134
  124. Burgin, M. and Debnath, N.C. Fuzzy Set Based Software Measurement and Estimation, ISCA 18th International Conference on Computer Application in Industry and Engineering (CAINE-05), Honolulu, Hawaii, November 9-11, 2005, pp. 304-309
  125. Burgin, M. and Debnath, N.C. Software Correctness, in Proceedings of the ISCA 21st International Conference “Computers and their Applications”, ISCA, Seattle, Washington, 2006, pp. 259-264
  126. Ades, M.J. and Burgin, M.S. Multilevel Hierarchical Genetic Algorithms, Proceedings of the 2006 Spring Simulation MultiConference (SpringSim ’06), April 2-6, 2006, Huntsville, Alabama, pp. 223-228
  127. Burgin, M. Mathematical Schema Theory for Modeling in Business and Industry, Proceedings of the 2006 Spring Simulation MultiConference (SpringSim ’06), April 2-6, 2006, Huntsville, Alabama, pp. 229-234
  128. Burgin, M. and Smith, M. From Sequential Processes to Grid Computation, in Proceedings of the 2006 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2006, pp. 10-16
  129. Burgin, M. Algorithmic Control in Concurrent Computations, in Proceedings of the 2006 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2006, pp. 17-23
  130. Burgin, M. and Tandon, Naming and its Regularities in Distributed Environments, in Proceedings of the 2006 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2006, pp. 10-16
  131. Burgin, M. Operational and Program Schemas, in Proceedings of the 15th International Conference on Software Engineering and Data Engineering (SEDE-2006), ISCA, Los Angeles, California, July 6-8, 2006, pp. 74-78
  132. Debnath, N. C., Haakenson, R., Burgin, M. and Debnath, J. A Detailed UML Design of a Software Testing Tool, in Proceedings of the 15th International Conference on Software Engineering and Data Engineering (SEDE-2006), ISCA, Los Angeles, California, July 6-8, 2006, pp. 86-91
  133. Burgin, M. and Debnath, N. Correctness as a Relative Gradual Property, in Proceedings of the 15th International Conference on Software Engineering and Data Engineering (SEDE-2006), ISCA, Los Angeles, California, July 6-8, 2006, pp. 112-115
  134. Burgin, M., Debnath, N. and J. Debnath, Fuzziness and Imprecision in Software Engineering, in Proceedings of the World Automation Congress 2006 (WAC 2006), v. 5, 6 p., Budapest, Hungary, July 2006, TSI Press, San Antonio, Texas, USA
  135. Burgin, M. and Smith, M. Compositions of Concurrent Processes, in “Communicating Process Architectures”, IOS Press, Scotland, September, 2006, pp. 281-296
  136. Debnath, N. C., Debnath, J., Burgin, M., Wilson, J. and Cropper, J. An autotester for the modified commission function, in Proceedings of the ISCA 19th International Conference on Computer Applications in Industry and Engineering (CAINE), Las Vegas, Nevada, 2006, pp. 289-294
  137. Ades, M.J. and Burgin, M.S. Evolutionary Processes in Modeling and Simulation, in Proceedings of the 2007 Spring Simulation MultiConference (SpringSim ’07), March 25-29, 2007, Norfolk, VA, pp.133-138
  138. Debnath, N.C., Rai, N., Debnath, J., and Burgin, M. A Prototype Validation Experiment on Software Metrics Using an Automated Tool, in Proceedings of the ISCA 22nd International Conference “Computers and their Applications” (CATA-2007), ISCA, Honolulu, Hawaii, 2007, pp. 408-413
  139. Burgin, M. and Debnath, N. Correctness in a Computational Process, in Proceedings of the ISCA 22nd International Conference “Computers and their Applications” (CATA-2007), ISCA, Honolulu, Hawaii, 2007, pp. 414-419
  140. Eberbach, E. and Burgin, M. Theoretical Framework for Cooperation and Competition in Evolutionary Computation, in Proceedings of the 2nd Conf. on Software and Data Technologies ICSOFT’2007, vol.PL/DPS/KE/MUSE, Barcelona, Spain, 2007, pp. 229-234
  141. Burgin, M., Debnath, N. and Lee, H. Correctness in the Software Life Cycle, in Proceedings of the 16th International Conference on Software Engineering and Data Engineering (SEDE-2007), ISCA, Las Vegas, Nevada, July 9-11, 2007, pp. 26-31
  142. Eberbach, E. and Burgin, M. Evolution of Evolution: Self-constructing Evolutionary Turing Machine Case Study, in Proceedings of the 2007 Congress on Evolutionary Computation CEC’2007, Singapore, 2007, pp. 4599-4604
  143. Burgin, M. and Smith, M.L. A Unifying Model of Concurrent Processes, in Proceedings of the 2007 International Conference on Foundations of Computer Science (FCS’07), Press, Las Vegas, Nevada, USA, 2007, pp.321-327
  144. Burgin, M. Interactive Hypercomputation, in Proceedings of the 2007 International Conference on Foundations of Computer Science (FCS’07), CSREA Press, Las Vegas, Nevada, USA, 2007, pp. 328-333
  145. Burgin, M. and Debnath, N., Testing in the Software Life Cycle, Proceedings of the International Conference on Computer Applications in Industry and Engineering (CAINE-07), San Francisco, California, USA, November 2007, pp. 156-161
  146. Debnath, N., Smith, C., Noll, T., Lee, H. K., Lee, I., and Burgin, M., An Automated Test Case Generation and Execution System, Proceedings of the International Conference on Computer Applications in Industry and Engineering (CAINE-07), San Francisco, California, USA, November 2007, pp. 162-167
  147. Burgin, M. and Debnath, N. Testing: Organization and Evaluation, in Proceedings of the ISCA 23rd International Conference “Computers and their Applications” (CATA-2008), ISCA, Cancun, Mexico, 2008, pp. 203-208
  148. Burgin, M. and Debnath, N. How to Measure Testing Results, in Proceedings of the 17th International Conference on Software Engineering and Data Engineering (SEDE-2008), ISCA, Los Angeles, California, 2008, pp. 36-41
  149. Burgin, M. Structural Organization of Temporal Databases, in Proceedings of the 17th International Conference on Software Engineering and Data Engineering (SEDE-2008), ISCA, Los Angeles, California, 2008, pp. 68-73
  150. Burgin, M. From Craft to Engineering: Software Development and Schema Theory, in Proceedings of the 2009 WRI World Congress on Computer Science and Information Engineering (CSIE 2009), WRI, Los Angeles, California, v. 7, 2009, pp. 787 – 791 (CD edition, 5 p.)
  151. Burgin, M. and Debnath, N. Superrecursive Algorithms in Testing Distributed Systems, in Proceedings of the ISCA 24th International Conference “Computers and their Applications” (CATA-2009), ISCA, New Orleans, Louisiana, USA, April, 2009, pp. 209-214
  152. Burgin, M. and Ades, M. Monte Carlo Methods and Superrecursive Algorithms, in “Proceedings of the Spring Simulation Multiconference (ADS, BIS, MSE, and MSEng),” Society for Modeling and Simulation International, San Diego, California, 2009, pp. 289-294
  153. Eberbach, E. and Burgin, M. Evolutionary Automata as Foundations of Evolutionary Computation: Larry Fogel Was Right, in Proc. 2009 Congress on Evolutionary Computation (CEC’2009), Trondheim, Norway, 2009, pp. 2149-2156
  154. Burgin, M. and Klinger, A. AI, Granular Computing, and Automata with Structured Memory, in “Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers” (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 48-53
  155. Burgin, M. Grid Automata as a Tool for Network Design, in “Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers” (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 147 – 151 (also: in “Program Schedule and Information, WSEAS Conferences 2009” , p. 147)
  156. Burgin, M. Mathematical Theory of Information Technology, in “Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers” (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 42 – 47 (also: in “Program Schedule and Information, WSEAS Conferences 2009” , pp. 15 – 16)
  157. Burgin, M. Robustness of Information Systems and Technologies, in “Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers” (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 67 – 72 (also: in “Program Schedule and Information, WSEAS Conferences 2009”, p. 67)
  158. Burgin, M. and Krinik, A. C. Probabilities and Hyperprobabilities, 8th Annual International Conference on Statistics, Mathematics and Related Fields, 2009 Conference Proceedings, Honolulu, Hawaii, January, 2009, pp. 351-367
  159. Burgin, M. Structures in mathematics and beyond, 8th Annual International Conference on Statistics, Mathematics and Related Fields, 2009 Conference Proceedings, Honolulu, Hawaii, January, 2009, pp. 449-469
  160. Burgin, M. and Debnath, N. Reusability as Design of Second-Level Algorithms, in Proceedings of the ISCA 25th International Conference “Computers and their Applications” (CATA-2010), ISCA, Honolulu, Hawaii, 2010, pp. 147-152
  161. Burgin, M. Mathematical Schema Theory for Network Design, in Proceedings of the ISCA 25th International Conference on Computers and their Applications (CATA-2010), ISCA, Honolulu, Hawaii, 2010, pp. 157-162
  162. Burgin, M. and Eberbach, E. Bounded and Periodic Evolutionary Machines, in Proceedings of the 2010 Congress on Evolutionary Computation (CEC’2010), Barcelona, Spain, 2010, pp. 1379-1386
  163. Burgin, M. and Debnath, N. Intelligent Testing Systems, in Proceedings of the World Automation Congress 2010 (WAC 2010), pp. 1-6, Cobe, Japan, September 2010, TSI Press, San Antonio, Texas, USA
  164. Burgin, M. and Debnath, N.C. A System Approach to Software Measurement, in Proceedings of the ISCA 27th International Conference “Computers and their Applications” (CATA-2012), ISCA, Las Vegas, Nevada, USA, March 2012, 230 – 233
  165. Burgin, M. and Debnath, N.C. Interplay of Logical Verification and Performance Testing in Software Assurance, in Proceedings of the 21st International Conference on Software Engineering and Data Engineering (SEDE-2012), ISCA, Los Angeles, California, June 27–29, 2012, 155-160
  166. Wegner, P., Eberbach, E. and Burgin, M. Computational Completeness of Interaction Machines and Turing Machines, in Turing-100 (The Alan Turing Centenary), EasyChair Proceedings in Computing, v. 10, 2012, pp. 405-414
  167. Dodig-Crnkovic, G. and Burgin, M. Axiomatic Tools versus Constructive approach to Unconventional Algorithms, in Proceedings of Symposium on Natural Computing/Unconventional Computing and its Philosophical Significance, AISB/IACAP World Congress 2012, Birmingham, UK, July 2-6, 2012, pp. 100-105 (also: Preprint in Computer Science, GL/LO. 1207.1034, 2012,     electronic edition:   http://arXiv.org)     
  168. Burgin, M. and Dodig-Crnkovic, G. From the Closed Universe to an Open World, in Proceedings of Symposium on Natural Computing/Unconventional Computing and its Philosophical Significance, AISB/IACAP World Congress 2012, Birmingham, UK, July 2-6, 2012, pp. 106-110
  169. Burgin, M. and Debnath, N.C. Layers of Software Architecture, in Proceedings of the ISCA 28th International Conference on Computers and their Applications (CATA-2013), ISCA, Honolulu, Hawaii, 2013, pp. 179-184
  170. Burgin, M. and Dodig-Crnkovic, G. The Nature of Computation and the Development of Computational Models, in Proceedings of the International Conference “Computability in Europe 2013 (CiE 2013), The Nature of Computation,” Venice, Italy, 1 – 5 July 2013, pp. 21-29
  171. Burgin, M. Neoclassical Analysis as a Tool for Optimization, in Recent Advances in Mathematics, Proceedings of the 19th WSEAS American Conference on Applied Mathematics (AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 16 – 17, 46 – 51
  172. Burgin, M. Fuzzy Optimization with Constraints, in Recent Advances in Mathematics, Proceedings of the 19th WSEAS American Conference on Applied Mathematics (AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 52 – 57
  173. Burgin, M. Convergence without Limits, in Recent Advances in Mathematics, Proceedings of the 19th WSEAS American Conference on Applied Mathematics (AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 58 – 62
  174. Burgin, M. and Mikkilineni, R. Semantic Network Organization Based on Distributed Intelligent Managed Elements: Improving Efficiency and Resiliency of Computational Processes, in Proceedings of the Sixth International Conference on Advances in Future Internet (AFIN 2014), Lisbon, Portugal, 2014, 1-7   (http://www.thinkmind.org/index.php?view=instance&instance=AFIN+2014)
  175. Burgin, M., Mikkilineni, R. and Morana, G. From Personal Computers to Personal Computing Networks: A New Paradigm for Computation, in Proceedings of the International Conference on Future Computational Technologies and Applications, Nice, France, ThinkMind, March 22-27, 2015, pp. 24-30
  176. Burgin, M. and Dodig-Crnkovic, G. Computation as Information Transformation, ISIS Summit Vienna 2015 – The Information Society at the Crossroads, 3–7 June 2015, Vienna, Austria, 4 p. (http://www.sciforum.net/conference/isis-summit-vienna-2015/paper/2975)
  177. Burgin, M. and Dodig-Crnkovic, G. A Taxonomy of Computation and Information Architecture, in Proceedings of the 2015 European Conference on Software Architecture Workshops, Dubrovnik/Cavtat, Croatia, September 7-11, 2015, ACM, 2015, pp. 7:1-7:8
  178. Burgin, M. Super-recursive Algorithms and Modes of Computation, in Proceedings of the 2015 European Conference on Software Architecture Workshops, Dubrovnik/Cavtat, Croatia, September 7-11, 2015, ACM, 2015, pp. 10:1-10:5
  179. Mikkilineni, R., Morana, G. and Burgin, M. Oracles in Software Networks: A New Scientific and Technological Approach to Designing Self-Managing Distributed Computing Processes, in Proceedings of the 2015 European Conference on Software Architecture Workshops, Dubrovnik/Cavtat, Croatia, September 7-11, 2015, ACM, 2015, pp. 11:1-11:8
  180. Burgin, M. and Mikkilineni, R. Agent technology, superrecursive algorithms and DNA as a tool for distributed clouds and grids, in Proceedings of the 25th IEEE International Conference on Enabling Technologies: Infrastructure for Collaborative Enterprises (WETICE 2016), Paris, France, June 12-15, 2016, pp. 89-94
  181. Burgin, M. The General Theory of Information as a Unifying Factor for Information Studies: The noble eight-fold path, Proceedings, 2017, v. 1, No. 3, 164, 6 p.; doi:10.3390/IS4SI-2017-04044
  182. Burgin, M. Bidirectional named sets as structural models of interpersonal communication, Proceedings, 2017, v. 1, No. 3, 58, 6 p.; doi:10.3390/IS4SI-2017-03916
  183. Burgin, M. and Feistel, R. Structures and Structural Information, Proceedings, 2017, v. 1, No. 3, 217, 5 p.; doi:10.3390/IS4SI-2017-04036
  184. Burgin, M. Principles of General Ecology, Proceedings, 2017, v. 1, No. 3, 148, 4 p.; doi:10.3390/IS4SI-2017-03996
  185. Burgin, M., Mikkilineni, R. and Mittal, S. Knowledge processing as structure transformation, Proceedings, 2017, v. 1, No. 3, 212, 5 p.; doi:10.3390/IS4SI-2017-03988
  186. Burgin, M. and Dodig-Crnkovic, G. Prolegomena to Information Taxonomy, Proceedings, 2017, v. 1, No. 3, 210, 4 p.; doi:10.3390/IS4SI-2017-04035
  187. Burgin, M. Problems in the System of Scientific Knowledge, in Proceedings, 2017, v. 1, No. 3, 273, 5 p.; doi: 3390/IS4SI-2017-03947
  188. Burgin, M. Symposium Theoretical Information Studies (Gothenburg, Sweden, 12–16 June 2017), Proceedings, 2017, v. 1, No. 3, 223, 3 p.
  189. Díaz-Nafría, J.M., Guarda, T., Burgin, M., Hofkirchner, W., Zimmermann, R., Chroust, G. and Belli, S. glossaLAB: Co-creating Interdisciplinary Knowledge, in Proceedings of the Second International Conference on Applied Informatics (ICAI 2019), Communications in Computer and Information Science book series (CCIS, volume 1051), Madrid, Spain, 2019, pp. 423-437
  190. Burgin, M. and Díaz-Nafría, J.M. Introduction to the Mathematical Theory of Knowledge Conceptualization: Conceptual Systems and Structures, in Proceedings of the Second International Conference on Applied Informatics (ICAI 2019), Communications in Computer and Information Science book series (CCIS, volume 1051), Madrid, Spain, 2019, pp. 469-482
  191. Burgin, M. and Rocchi, P. Ample Probability in Cognition, 2019 IEEE 18th Conf. on Cognitive Informatics & Cognitive Computing (ICCI’CC’19), Milan, Italy, 23-27 July, 2019, pp. 62-65
  192. Burgin, M. Problem-oriented foundations of intelligence in the context of superintelligence, Proceedings, 2020, v. 47, No.1, 21, 2 p. ; doi:10.3390/proceedings47010021
  193. Burgin, M. Discerning Potential and Impact Information, Proceedings, 2020, v. 47, No.1, 4, 5 p. ; doi:10.3390/proceedings47010004
  194. Burgin, M. Information Processing by Symmetric Inductive Turing Machines, Proceedings, 2020, v. 47, No.1, 28, 2 p. ; doi:10.3390/proceedings47010028
  195. Burgin, M., Eberbach, E. and Mikkilineni, R. Processing Information in the Clouds, Proceedings, 2020, v. 47, No.1, 25, 5 p.; doi:10.3390/proceedings47010025
  196. Mikkilineni, R. and Burgin, M. Structural Machines as Unconventional Knowledge Processors, Proceedings, 2020, v. 47, No.1, 26, 6 p.; doi:10.3390/proceedings47010026
  197. Burgin, M. and Mestdagh, K.V. Complexity of Legal Processes and Systems, Proceedings, 2020, v. 47, No.1, 17, 5 p.; doi:10.3390/proceedings47010017
  198. Burgin, M. and Dodig-Crnković, G. Modeling Computing Devices and Processes by Information Operators, Proceedings, 2020, v. 47, No.1, 18, 5 p.; doi:10.3390/proceedings47010018
  199. Burgin, M. Conference Theoretical Information Studies, Berkeley 2019, Proceedings, 2020, v. 47, No.1, 2, 5 p. ; doi:10.3390/proceedings47010002
  200. Dodig-Crnković, G. and Burgin, M. Recent Books Delineating the Emergent Academic Filed of the Study of Information, Proceedings, 2020, v. 47, No.1, 6, 4 p.; doi:10.3390/proceedings47010006
  201. Burgin, M. Structural Connections: Algorithms as Rituals and Rituals as Algorithms, Proceedings, 2022, v. 8, No. 1, 3; https://doi.org/10.3390/proceedings2022081003
  202. Burgin, M. and Zellweger, P. Named Sets as an Efficient Tool for Modeling Data Relationships in Database Models, Proceedings, 2022, v. 8, No. 1, 51; https://doi.org/10.3390/proceedings2022081051
  203. Dantsker, A. and Burgin, M. Monitoring Thermal Conditions and Finding Sources of Overheating, Proceedings, 2022, v. 8, No. 1, 38; https://doi.org/10.3390/proceedings2022081038
  204. Burgin, M. and Diaz Nafria, J.M. Relational Structure of Conceptual Spaces, Proceedings, 2022, v. 8, No. 1, 33; https://doi.org/10.3390/proceedings2022081033
  205. Burgin, M. and Krzanowski, R. World Structuration and Ontological Information, Proceedings, 2022, v. 8, No. 1, 93; https://doi.org/10.3390/proceedings2022081093
  206. Burgin, M. and Mikkilineni, R. Symbiotic Information Processing and Technological Progress, Proceedings, 2022, v. 8, No. 1, 84; https://doi.org/10.3390/proceedings2022081084
  207. Burgin, M. Physical Facets of Information, Information Materialization or the Grand Illusion, Proceedings, 2022, v. 8, No. 1, 76; https://doi.org/10.3390/proceedings2022081076
  208. Burgin, M. and Rajagopalan, K. Information Processing by Selective Machines, Proceedings, 2022, v. 8, No. 1, 122; https://doi.org/10.3390/proceedings2022081122
  209. Burgin, M. and Dantsker, A. Pollution Information Acquisition and Discovering Pollution Sources, Proceedings,2022, v. 8, No. 1, 74; https://doi.org/10.3390/proceedings2022081074
  210. Burgin, M. Three Approaches to Artificial Intelligence, Proceedings,2022, v. 8, No. 1, 147; https://doi.org/10.3390/proceedings2022081074
  211. Burgin, M. and Mikkilineni, R. General Theory of Information Paves the Way to a Secure, Service-Oriented Internet Connecting People, Things, and Businesses, International Congress on Advanced Applied Informatics (IIAI AAI), Jul 2, 2022 – Jul 7, 2022, Kanazawa, Japan, pp. 144 – 149

 

 

E. Abstracts

  1. Burgin, M. Some Tendencies in Programming Languages Development, All-Union conference “Computers-76”,  1,  1976, pp. 99-100          (in  Russian)
  2. Burgin, M. Structures of operators in a multidimensional structured model, All-Union seminar on synthesis and planning of complex structures, Moscow, 1979, pp. 57-58 (in  Russian)
  3. Burgin, M. Some properties of E-machines, Abstracts of papers presented to the American Mathematical Society, 1980, 1, No. 3
  4. Burgin, M. and Burgina, E. Multi-valued partitions in formal languages, Abstracts of papers presented to the American Mathematical Society, 1980, v. 1, No. 4
  5. Burgin, M. and Burgina, E. Domination in formal languages, Abstracts of papers presented to the American Mathematical Society,1980, v. 1, No. 6
  6. Burgin, M. and Burgina, E. Derivations and partitions in formal languages, Abstracts of papers presented to the American Mathematical Society, 1980, v. 1, No. 7
  7. Burgin, M. Decision problems for linear W-algebras, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2, No. 2
  8. Burgin, M. and Burgina, E. Decision problems for multi-valued partitions, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2 , No. 2
  9. Burgin, M. and Burgina, E. Parallel partitions and their time complexity, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2, No. 3
  10. Burgin, M. and Burgina, E. Representation of linear languages by parallel partitions, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2,  5
  11. Burgin, M. Duality in the theory of computations, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2, No. 4
  12. Burgin, M. Duality theorem for computable functions, Abstracts of papers presented to the American Mathematical Society, 1981, v. 2, No. 5
  13. Burgin, M. and Zak, Yu.A. Principles of construction of computer graphic in Computer Aided Design, Seminar on automated design, Ryazan, 1981, pp. 9-11 (in Russian)
  14. Burgin, M. Dual measures for abstract complexities, Abstracts of papers presented to the American Mathematical Society, 1982, v. 3, No. 1
  15. Burgin, M. A correspondence between abstract complexity of computations and size measures of machines,  Abstracts of papers presented to the American Mathematical Society, 1982, v. 3, No. 4
  16. Burgin, M. Some properties of GK-complexities of computation, Abstracts of papers presented to the American Mathematical Society, 1982, v. 3, No. 6
  17. Burgin, M. Direct and inverse algorithmic problems, Abstracts of papers presented to the American Mathematical Society, 1982, v. 3, No. 7
  18. Burgin, M. and Burgina, E. Computational complexity of processes defined by parallel partitions, VI All-Union conference on mathematical logic, Tbilisi, 1982, p. 26     (in Russian)
  19. Burgin, M. and Burgina, E. Real-time string matching by parallel partitions, Abstracts of papers presented to the American Mathematical Society,  1983, v. 4, No. 1
  20. Burgin, M. Generalized Speed-Up Theorem for Abstract Complexity Measures, Abstracts of papers presented to the American Mathematical Society, 1983, v.4, No. 1
  21. Burgin, M. General Measures for Algorithms, Abstracts of papers presented to the American Mathematical Society, 1983, v.4, No. 2.
  22. Burgin, M. Limit Turing Machines, Abstracts of papers presented to the American Mathematical Society, 1983, v.4, No. 4
  23. Burgin, M. Universality for Inductive Turing Machines, Abstracts of papers presented to the American Mathematical Society, 1983, v. 4, No. 5
  24. Burgin, M. On a conjecture of S. Kleene, Abstracts of papers presented to the American Mathematical Society, 1983, v. 4, No. 6
  25. Burgin, M. Recursive relations for dual complexity measures, in “Applications of methods of mathematical logic,” Tallinn, 1983, pp. 126-127      (in Russian) 
  26. Burgin, M. and Sadovskii, L. Formal models of systems with variable structures, XXXVIII All-Union Session for anniversary celebration of radio invention, pt.2, Moscow, 1983, pp. 85-86 (in Russian)
  27. Burgin, M. Multilimit Turing machines, Abstracts of papers presented to the American Mathematical Society, 1984, v. 5, No. 3
  28. Burgin, M. Computations of sets defined by formulas in arithmetic, Abstracts of papers presented to the American Mathematical Society, 1984, v. 5, No. 5
  29. Burgin, M. Systems and Properties, Abstracts of papers presented to the American Mathematical Society, 1984, v.5, No. 6
  30. Burgin, M. Named Sets and Information Representation, VII All-Union conference on mathematical logic, Novosibirsk, 1984, p. 25  (in Russian)
  31. Burgin, M. Numerical analysis and real number algorithms, Abstracts of papers presented to the American Mathematical Society, 1985, v. 6, No. 1
  32. Burgin, M. Algorithmic problems for limit Turing machines, Abstracts of papers presented to the American Mathematical Society, 1985, v. 6, No. 6
  33. Burgin, M. Limit computations and computational potential of inductive Turing machines, All-Union conference in applied logic, Novosibirsk, 1985, pp. 30-32         (in Russian)
  34. Burgin, M.S. and Kuznetsov, V.I. Structures of Concepts in Scientific Theories, VIII All-Union Conference on Mathematical Logic, Moscow, 1986, p. 25   (in Russian)
  35. Burgin, M.S. and Kuznetsov, V.I. Named Sets in the Analysis of Scientific Cognition, in “Logic of Scientific Cognition,” Kiev, 1986, pp. 11-12       (in Russian)
  36. Burgin, M. f-alternation or a new class of super-recursive algorithms, Abstracts of papers presented to the American Mathematical Society, 1987, v. 8, No. 2
  37. Burgin, M. and Sadovski, L.E. Algebraic structures in models of organizational systems, XIX All-Union Algebraic Conference, Lvov, 1987, p. 45     (in Russian)
  38. Burgin, M.S. and Kuznetsov, V.I. Semiotic models and their structures, in “Psychological theory and practice,” Novosibirsk, 1987, pp. 109-110              (in Russian)
  39. Burgin, M.S. and Povyakel, N.I. Programmable components of creativity,  in  “Man-Creativity Computer,” pt. 2, Moscow, 1987, pp. 70-71       (in Russian) 
  40. Burgin, M.S. and Kuznetsov, V.I. Heuristicallity in Scientific Theories, in “Man-Creativity-Computer,” pt. 2, Moscow, 1987, pp. 88-91                       (in Russian)
  41. Burgin, M.S., Mashtabey, V.Ya., and Lebed, V.V. Automated system “Sale Market” in export production management, in “Economic problems of research, design, and production,” Dnepropetrovsk, 1987, pp. 170-171                               (in Russian)
  42. Burgin, M. and Chelovsky, Yu. Evaluation of Software Quality, in “Methods of Software  Reliability Analysis Based on Fuzzy Logic,” Kiev, 1987, p. 69     (in Russian)
  43. Burgin, M. Limit computations and Turing machines, II All-Union Conference on Applied Logic, Novosibirsk, 1988, pp. 32-34  (in Russian)
  44. Burgin, M.S. and Kuznetsov, V.I. Definitions in practice and theory of programming, II All-Union Conference on Applied Logic, Novosibirsk, 1988, pp. 35-37               (in Russian)
  45. Burgin, M.S. and Povyakel, N.I. Programmable and Reflexive Components of Creativity, in “Activity: philosophical and psychological aspects,” Simferopol, 1988, pp. 37-38  (in Russian)
  46. Burgin, M. Decision making systems in scientific research, in  “Infware and software of Computer Aided Design,”  Moscow , 1988, pp. 31-32      (in Russian) 
  47. Burgin, M. Scientific knowledge development as a synergetic process, in “Selforganization in nature and society,” Leningrad, 1988, pp. 6-8
  48. Burgin, M. and Marchenko, A.B. The Role of Evaluation in Scientific Creativity, in “Creativity as a philosophical problem,”  Kiev, 1989, pp. 41-43        (in Russian)
  49. Burgin, M. Logic of Intelligent  Systems,   All-Union  Conference “Artificial Intelligence – 90”, Minsk, 1990, pp. 121-123   (in Russian) 
  50. Burgin, M.S. and Kuznetsov, V.I. Feedback Structure in Intelligent Systems, in “People in Intelligent Systems,” Novosibirsk, 1991, pp. 220-222          (in Russian)
  51. Burgin, M. Multilevel reflexive Turing machines, Abstracts of papers presented to the American Mathematical Society, 1991, v. 12,  2
  52. Burgin, M. Object-oriented approach to logical representation of knowledge, in “Object-oriented programming,” Minsk, 1992, pp. 29-30     (in Russian)
  53. Burgin, M.S. and Neishtadt, L.A. Structured psychological models of man-computer communication, International Conference on Bionic Modeling, S.-Petersburg, 1992, pp. 157-158        
  54. Burgin, M. New Logical Tools for Thinking Simulation and Artificial Intelligence, International Conference on Bionic Modeling, S.-Petersburg,  1992, pp. 371-372
  55. Burgin, M.S. and Borodyanskiy, Yu.M. Operations in spaces of alphabet operators, XI International conference on mathematical logic, Kazan, 1992, p. 29                     (in Russian) 
  56. Burgin, M. System functioning and technological processes, Abstracts of papers presented to the American Mathematical Society, 1992, v. 13, No. 2
  57. Burgin, M. and Dantsker, A. Application of Hypernumbers for Filter Choice, in “Problems of Industrial Ecology,” Moscow, 1993, p. 31       (in Russian) 
  58. Burgin, M. A Creationist Theory of Concept, XIX World Congress of Philosophy, Abstracts, v.1, Moscow, 1993, p. 151 (in Russian)
  59. Burgin, M. Software engineering and complexity of algorithms, in “Engineering of programming tools,” Kiev, 1993, pp. 16-17       (in Russian)
  60. Burgin, M.S. and Borodyanskiy, Yu.M. Problems of Modeling of Trans-recursive Procedures, in “Engineering of programming tools,” Kiev, 1993, pp. 13-15                                                            (in Russian)
  61. Burgin, M. and Malitstskii, B.A. System analysis of the organizational level of science, in “Proceedings of the International Congress on System Science and System Engineering,” Beijing,  1993,   529-530
  62. Burgin, M. and Kavunenko, L.F. Methodological foundations of the assessment of impact on water resources, in “Diachronic Climatic Impact on Water Resources,” Greece, 1993, p. 41
  63. Burgin, M. Time complexity of the reflexive Turing machines, Abstracts of papers presented to the American Mathematical Society, 1993, v. 14, No. 1
  64. Burgin, M. and Kavunenko, L.F. Ecological situation evaluation and critical ecological situations, in “Natural Resources in Ukraine,” Krivoy-Rog, 1993, pp. 8-9 (in Ukrainian) 
  65. Burgin, M. and Kavunenko, L.F. The conceptual base for science & technology evaluation, in “Development of science and  Transformations in society,” Kiev, 1993, p. 37     (in Russian)
  66. Burgin, M. and Malitstskii, B.A. Regulation and self-organization versus control and determination in science, in “Development of science and transformations in society,” Kiev, 1993, p. 7               (in Russian)
  67. Burgin, M. The Energy-Information Duality, Abstracts of papers presented to the American Mathematical Society, 1994, v.15, No. 2
  68. Burgin, M. Efficiency of Super-recursive Algorithms, Abstracts of papers presented to the American Mathematical Society, 1994, v.15, No. 6
  69. Burgin, M. Methodological Foundations of Evaluation in Science, in “Transactions of the International Symposium “Development of Science and Technology: social-economic reasonability and ecological safety”, Kiev, 1994, pp. 110-111          (in Russian) 
  70. Burgin, M. Properties of Scientific Knowledge and their Evaluation, in “Transactions of the International Symposium “Development of Science and Technology: Social-economic Reasonability and Ecological Safety”, Kiev, 1994, pp. 172-173
  71. Burgin, M. Evaluation of Scientific Activity in the Dynamic Information Theory, Science and Science of Science, 1994, No. 1-2, pp. 124-131
  72. Burgin, M. and Kavunenko, L. Indices in science of science as a tool for harmonization of interaction of science and environment, in “Transactions of the International Symposium “Development of Science and Technology: Social-economic Reasonability and Ecological Safety”, Kiev, 1994, pp. 177-178         (in Russian)
  73. Burgin, M. and Solovjov, V.P. Dynamic criteria of human health, International Congress “Foundations of ecology and spiritual health of a human being”, Crimea, 1995, p. 49 (in Russian)
  74. Burgin, M. Logical Tools for Inconsistent Knowledge Bases, Abstracts of the III International Congress on Industrial and Applied Mathematics, Hamburg, 1995, p. 245
  75. Burgin, M. and Borodyanskiy, Yu.M. Modeling of Intellectual Database Performance, Abstracts of the III International Congress on Industrial and Applied Mathematics, Hamburg, 1995, p. 246
  76. Burgin, M. Functionally Equivalent Technologies, Abstracts of papers presented to the American Mathematical Society, 1996, v.17, No. 2
  77. Burgin, M. Information Needs and Resources, in “Information Resources: Creation, integration and usage,” Kiev, 1996, pp. 24-28    (in Russian)
  78. Burgin, M. Extended Information Algebra: Actions, Abstracts of papers presented to the American Mathematical Society, 1996, v.17, No. 2
  79. Burgin, M. Inner Information Algebras of the type A, Abstracts of papers presented to the American Mathematical Society, 1996, v.17, No. 3
  80. Burgin, M. and Kavunenko, L. Methodological problems of statistical data collection in ecology, in “Problems of theory and practice of statistics,”  Minsk, 1996, pp. 238-239      (in Russian)
  81. Burgin, M. Information Criteria of Acquisition of Materials for the Scientific Library, in “Strategy of Acquisition of the Scientific Library”, Kiev, 1996, pp. 38-40     (in Ukrainian)
  82. Burgin, M. Cognitive Computer Graphics as a Tool for Creative Thinking,  in “Visual Thinking and Creativity,” Odessa, 1996, pp. 42-43
  83. Burgin, M., Karpov, V. and Parfenzeva, N. Statistical and economical terminology as an important factor of integration of Ukraine into the European economy,  in “Problems of Ukrainian scientific and technical terminology”, Lviv, 1996, pp. 125           (in Ukrainian) 
  84. Burgin, M. and Parfenzeva, N. Scientific terminology and statistical indices,   in “Problems of Ukrainian scientific and technical terminology,” Lviv, 1996, pp. 117-118       (in Ukrainian)
  85. Burgin, M. and Lapenko, L.A. Decision Making in Science and Fuzzy Sets, in “Market about Market in Science,” Novosibirsk, pt.1, 1996, pp. 65-67 (in Russian)
  86. Burgin, M. Methodological Analysis of Evaluation and Assessment in Science, in “Market about Market in Science, Novosibirsk”, pt.2, 1996, pp. (in  Russian)
  87. Burgin, M. Conflicts in a Political Environment: Evaluation and Diagnostics, in “Actual Problems of the State Power Reform,” Kyiv, 1997, pp. 261-263         (in Ukrainian)
  88. Burgin, M. Information Measures of Algorithms, Abstracts of papers presented to the American Mathematical Society, 1997, v.18, No. 1
  89. Burgin, M. and Valkman,Yu. R. Logical Varieties in Dynamic Objects Design and Control, The 1st International Conference on Problems of Dynamic Objects Logic-Linguistic Control, S.-Petersburg, 1997
  90. Burgin, M. Logical Systems for Information Management, 7th International Conference on Human-Computer Interaction, San Francisco, 1997, p. 62
  91. Burgin, M. Knowledge Visualization as a Tool for Creative Thinking, 7th International Conference on Human-Computer Interaction, San Francisco, 1997, p. 63
  92. Burgin, M. and Bondarovskaya, V.M. Impact of Information Representation on Efficiency of Human-Computer Interaction, 7th International Conference on Human-Computer Interaction, San Francisco, 1997, p. 106
  93. Burgin, M. and Parfenzeva, N.A. Problems of Collecting and Utilization of Information in Statistics, in “Creation, integration, utilization of information resources for innovative development,” Kiev, 1997, pp. 8-10                (in Russian)
  94. Burgin, M., Parfenzeva, N.A. and Gladkova, V.I. New Information Technologies of Modeling, Elaboration, and Maintenance of Classifications in Statistics, in “Creation, integration, utilization of information resources for innovative development,”  Kiev, 1997, pp. 41-43       (in Russian)
  95. Burgin, M. and Lapenko, L. O. Problems of Expert Selection for Evaluation of Innovation Projects, in “Transactions of the International Symposium “Science and Technology in Conditions of Economy Reforms”, Kiev, 1997, pp. 59-60        (in Ukrainian) 
  96. Burgin, M. Measure Elaboration for Ecological Safety, in “Transactions of the International Symposium “Science and Technology in Conditions of Economy Reforms”, Kiev, 1997, pp. 133-134               (in Russian)
  97. Burgin, M. and Solovyev, V.P. Sociogenic Safety and Reliability: A Methodological Analysis, in “Transactions of the International Symposium “Science and Technology in Conditions of Economy Reforms”, Kiev, 1997, pp. 136-137           (in Russian)
  98. Burgin, M. and Avsenev, E.V. On the Problems of Self-Control in Science, in “Transactions of the International Symposium “Science and Technology in Conditions of Economy Reforms”,  Kiev, 1997, pp. 39-40             (in Ukrainian)
  99. Burgin, M. Tasks of Social Environment Formation for Innovative Development, in “Transactions of the International Symposium    “Science and Technology in Conditions of Economy Reforms”,  Kiev, 1997, p. 112              (in Russian)
  100. Burgin, M. Stability of Technological Operators, Abstracts of papers presented to the American Mathematical Society, 1998, v.19, No. 4, p. 553
  101. Burgin, M. Algorithmic Problems for Super-Recursive Algorithms, Bulletin of Symbolic Logic, 1999, v. 5, No. 3, p. 409 (Association for Symbolic Logic, 1998 – 99 Annual Meeting, San Diego, 1999, pp. 21-22)
  102. Burgin, M. Information Efficiency of Energy Utilization, Abstracts of papers presented to the American Mathematical Society, 1999, v. 20, No. 1, p. 232
  103. Burgin, M. Information Efficiency of Energy Generation, Abstracts of papers presented to the American Mathematical Society, 1999, v. 20, No. 2, p. 419
  104. Burgin, M. Mathematical Models of Technological Processes, GAMM 99,  Abstracts, Universite de Metz, Metz, France, 1999
  105. Burgin, M. A New Paradigm for Computation and its Application to Global Networks, Huge Databases, and Embedded Systems, Data-Link, ACM, 1999, v. 44, No. 4, pp. 1-2
  106. Burgin, M. Topological Computations, Bulletin of Symbolic Logic, 2000, v. 6, No. 3, pp. 392-393 (Association for Symbolic Logic, 2000 Annual Meeting,   University of Illinois at Urbana-Champaign, 2000, p. 23)
  107. Burgin, M., Liu, D. and Karplus, W. Medical Systems and Visualization of the Process Dynamics, 1st SIAM Conference on Computational Science and Engineering, Washington, 2000, p. 62
  108. Burgin, M. and Shapley, L. Axiomatic Representation of the Enhanced Banzhaf Power Index, in “11th International Conference on Game Theory”, Book of Abstracts, Stony Brook, 2000, pp. 17-18
  109. Burgin, M. Fixed Points for Algorithmic Classes, Bulletin of Symbolic Logic, 2001, v. 7, No. 1, p. 162 (2000 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium 2000, La Sorbonne, Paris, France, July 23-31, 2000)
  110. Burgin, M. Mathematical Theory of Technology: Rigid and Soft Technologies, 2001 SIAM Annual Meeting, Abstracts, San Diego, California, 2001, p. 128
  111. Burgin, M. and Shapley, L. Optimization Principle for Coalition Formation in Political Games, in “12th International Conference on Game Theory”, Book of Abstracts, Stony Brook, 2001, p. 14
  112. Burgin, M. Descriptive Complexity in Classes of Inductive Turing Machines, Abstracts of papers presented to the American Mathematical Society, 2003, v.24, No.3 , p. 482 (987th AMS Meeting, San Francisco State University, San Francisco, California, May 3-4, 2003, p. 55)
  113. Burgin, M. and Klinger, A. Learning in the Limit and Experience of Generations, Abstracts of papers presented to the American Mathematical Society, 2003, v.24, No. 3, p. 484 (987th AMS Meeting, San Francisco State University, San Francisco, California, May 3-4, 2003, p. 57)
  114. Burgin, M. Complexity of grammars with prohibition, Abstracts of papers presented to the American Mathematical Society, 2005, v. 26, No. 3, pp. 459-460 (1007th AMS Meeting, University of California, Santa Barbara, April 16-17, 2005, p. 31)
  115. Burgin, M. and Chaitin, G.J. Algorithmic complexity and inductive decidability, Abstracts of papers presented to the American Mathematical Society, 2005, v. 26, No. 3, p. 460 (1007th AMS Meeting, University of California, Santa Barbara, April 16-17, 2005, p. 31-32)
  116. Burgin, M. Complexity of problems and duality of measures, Abstracts of papers presented to the American Mathematical Society, 2005, v. 26, No. 3, p. 496 (1007th AMS Meeting, University of California, Santa Barbara, April 16-17, 2005, p. 67)
  117. Burgin, M. and Debnath, N. Complexity of algorithms and program quality, Abstracts of papers presented to the American Mathematical Society, 2005, v. 26, No. 3, p. 496 (1007th AMS Meeting, University of California, Santa Barbara, April 16-17, 2005, p. 67)
  118. Burgin, M. From Cellular Automata to Grid Automata, NKS 2007 Conference, University of Vermont, Burlington, Vermont, USA, July 13-15, 2007 (electronic edition: https://www.wolframscience.com/conference/2007/presentations/MarkBurgin.html, also https:// wolframscience.typepad.com/ wolfram_science/natural_sciences/)
  119. Burgin, M. and Smith, M. Algebras of Actions in Concurrent Processes, in Concurrent Systems Engineering Series, IOS Press, Amsterdam, 2007, p. 505
  120. Burgin, M. Numerical analysis, limit computations, and neoclassical analysis, Abstracts of Lectures: 4th International Conference of Applied Mathematics and Computing, Plovdiv, Bulgaria, August 12-18, 2007, p. 66 (http://math.uctm.edu/conference2008/content/abstracts.pdf)
  121. Burgin, M. and Dodig-Crnkovic, G. Computation as Information Transformation, IS4IS Summit Vienna 2015 – The Information Society at the Crossroads, Track: Triangular relationship, 3–7 June 2015, Vienna, Austria, 1 p. (http://www.sciforum.net/conference/isis-summit-vienna-2015/track-triangular)
  122. Burgin, M. Information as an Omnipresent Relative Phenomenon, IS4IS Summit Vienna 2015 – The Information Society at the Crossroads, Track: Weaving the understanding of information, 3–7 June 2015, Vienna, Austria, 3 p. (http://www.sciforum.net/conference/isis-summit-vienna-2015/track-weavunderstand)
  123. Burgin, M. Potential and Impact Information, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/72/session-d-theoretical-information-studies) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  124. Burgin, M. and de Vey Mestdagh, C.N.J. Information components of legal processes and their complexity, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/80/session-l-theoretical-information-studies) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  125. Burgin, M. Prolegomena to superintelligence, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/74/session-f-global-forum-on-artificial-intelligence) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  126. Burgin, M. Processing information by symmetric inductive machines, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/85/session-a-morcom also https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  127. Mikkilineni, R. and Burgin, M. Structural Machines as Unconventional Knowledge Processors, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/93/session-i-morcom) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  128. Burgin, M., Eberbach, E. and Mikkilineni, R. Cloud Computing as a Step to a Higher-Order AI, in Presentations at the “IS4SI Summit Berkeley 2019 – Where is the I in AI and the Meaning in Information,” Berkeley, California, USA, 2 – 7 June 2019 (https://is4si2019.com/en/program-schedule/program/97/session-m-morcom) also in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  129. Burgin, M. and Dodig-Crnkovic, G. Computing devices as information operators, in Abstract Booklet for IS4SI 2019 (https://dryfta-assets.s3.eu-central-1.amazonaws.com/assets/is4si2019/editorimages/1561505773Abstractbook-IS4SI2019.pdf)
  130. Burgin, M. Materialization and Idealization of Information, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” 2021 (https://tfpis.com/the-book-of-abstracts/; also: https://sites.google.com/view/is4si2021/schedule#h.eyuxf4mjxqyb)
  131. Burgin, M. and Díaz-Nafría, J.M. Relations in conceptual spaces, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  132. Burgin, M. and Dantsker, A. Pollution information acquisition, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  133. Mikkilineni, R. and Burgin, M. Designing a New Class of Digital Autopoietic Machines, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  134. Burgin, M. and Krzanowski, R. Levels of Ontological Information, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  135. Burgin, M. and Zellweger, P. Modeling data relationships with named sets, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  136. Dantsker, A. and Burgin, M. Monitoring Thermal Conditions, in The Book of Abstracts, International Conference “Theoretical and Foundational Problems in Information Studies” (https://tfpis.com/the-book-of-abstracts/)
  137. Burgin, M. and Rajagopalan, K. Validation and correction of information by computing automata, 13th International Workshop on Natural Computing (IWNC), 2021, Abstracts  (https://www.natural-computing.com/#iwnc-13; also : https://www.cs.bham.ac.uk/research/projects/cogaff/misc/IS4SI_MORCOM_IWNC/IS4SI_13thIWNC_Extended_Abstracts_AndSchedule.pdf)

 

 

F. Technical Reports and Preprints

  1. Burgin, M. and Shapley, L. Enhanced Banzhaf Power Index and its Mathematical Properties, Department of Economics and Mathematics, University of California, Los Angeles, Report W – 797, 2000, 33 p.
  2. Burgin, M., Liu, D. and Karplus, W. Visualization in Human-Computer Interaction, UCLA, Computer Science Department, Report CSD – 010010, Los Angeles, July, 2001, 108 p.
  3. Burgin, M., Liu, D. and Karplus, W. Computer Simulation: Theories and Models, UCLA, Computer Science Department, Report CSD – 010011, Los Angeles, July, 2001, 95 p.  
  4. Burgin, M., Calude, C.S. and Calude, E. Inductive Complexity Measures for Mathematical Problems, Center for Discrete Mathematics and Theoretical Computer Science (CDMTCS) Research Report 416, 2011, 11 p.

 

 

G. E-papers and e-preprints

  1. Burgin, M. Mathematical Models for Artificial Intelligence, Elsevier, Preprint 0107066, 2001, 15 p. (electronic edition: http://www.mathpreprints.com/math/Preprint/ changed to http://www.sciencedirect.com/preprintarchive)
  2. Burgin, M. Diophantine and Non-Diophantine Aritmetics: Operations with Numbers in Science and Everyday Life, LANL, Preprint Mathematics GM/0108149, 2001, 27 p. (electronic edition:   http://arXiv.org)
  3. Burgin, M., Karplus, W. and Liu, D. Multivariant Branching Prediction, Reflection, and Retrospection, LANL, Preprint in Computer Science CE/0110048, 2001, 16 p. (electronic edition:   http://arXiv.org)
  4. Burgin, M., Liu, D. and Karplus, W. Distributed Computing for Localized and Multilayer Visualization, LANL, Preprint in Computer Science DC/0111022, 2001, 21 p. (electronic edition:   http://arXiv.org)
  5. Burgin, M. Representation of Uncertainty for Limit Processes, LANL, Preprint in Computer Science/Artificial Intelligence, AI/0112008, 2001, 8 p. (electronic edition:   http://arXiv.org)
  6. Burgin, M. The Rise and Fall of the Church–Turing Thesis, LANL, Preprint in Computer Science CC/0207055, 2002, 29 p. (electronic edition:   http://arXiv.org)
  7. Burgin, M. Elements of the System Theory of Time, LANL, Preprint in Physics 0207055, 2002, 21 p. (electronic edition:   http://arXiv.org)
  8. Burgin, M. Axiomatic Theory of Algorithms: Computability and Decidability in Algorithmic Classes, Preprint in Mathematics LO/0409142, 2004, 27 p. (electronic edition:   http://arXiv.org)
  9. Burgin, M. Hardware-Oriented Group Solutions for Hard Problems, Preprint in Computer Science, CC/0410037, 2004, 10 p. (electronic edition:   http://arXiv.org)
  10. Burgin, M. Comparing Algorithmic Complexity of Recursive and Inductive Algorithms, 2005, 39 p. (electronic edition: http://escholarship.org/uc/item/0960w3c; before:   http://repositories.cdlib.org/postprints/)      (an updated version of A69)
  11. Burgin, M. and Klinger, A. Knowledge, Experience, Generations, and Limits in Machine Learning, 2005, 30 p. (electronic edition: http://escholarship.org/uc/; before: http://repositories.cdlib.org/postprints/)      (an updated version of A70)
  12. Burgin, M. Mathematical Models in Schema Theory, Preprint in Computer Science, AI/0512099, 2005, 57 p. (electronic edition:   http://arXiv.org)
  13. Burgin, M. and Eberbach, E Evolutionary Optimization in an Algorithmic Setting, Preprint in Computer Science, NE/0611077, 2006, 33 p. (electronic edition:   http://arXiv.org)
  14. Burgin, M. Superrecursive Features of Interactive Computation, Preprint in Computer Science, DC.0710.1455, 2007, 16 p. (electronic edition:   http://arXiv.org)
  15. Burgin, M. Languages, Algorithms, Procedures, Calculi, and Metalogic, Preprint in Mathematics LO/0701121, 2007, 31 p. (electronic edition:   http://org)
  16. Burgin, M. and Smith, M. Concurrent Composition and Algebras of Events, Actions, and Processes, Preprint in Computer Science, LO.0803.3099, 2008, 69 p. (electronic edition:   http://arXiv.org)
  17. Burgin, M. Algorithmic Problem Complexity, Preprint in Computer Science, CC.0807.0672, 2008, 53 p. (electronic edition:   http://arXiv.org)
  18. Burgin, M. Foundations of Information Theory, Preprint in Computer Science, IS.0808.0768, 2008, 53 p. (electronic edition:   http://arXiv.org)
  19. Burgin, M. and Dodig-Crnkovic, G. A Systematic Approach to Artificial Agents, Preprint in Computer Science, AI. 0902.3513, 2009, 8 p. (electronic edition:   http://arXiv.org)    
  20. Burgin, M. Extended Probabilities: Mathematical Foundations, Preprint in Physics, math-ph/0912.4767, 2009, 18 p. (electronic edition:   http://arXiv.org)
  21. Burgin, M. and Klinger, A. AI, Granular Computing, and Automata with Structured Memory, 2009, electronic edition: https://www.researchgate.net/publication/228671173_AI_granular_computing_and_automata_with_structured_memory
  22. Burgin, M. Interpretations of Negative Probabilities, Preprint in Quantum Physics, quant-ph/1008.1287, 2010, 17 p. (electronic edition:   http://arXiv.org)
  23. Burgin, M. and Mestdagh, K.V. Logical Varieties in Normative Reasoning, Preprint in Mathematics and Computer Science LO/1104.1466, 2011, 15 p. (electronic edition:   http://arXiv.org)
  24. Burgin, M. Information: Mystery Solving, FIS mail-archive, 2011, 3 p. (electronic edition: https://www.mail-archive.com/fis@listas.unizar.es/msg01264.html)
  25. Burgin, M. and Meissner, G.A. Negative Probabilities in Financial Modeling, Social Science Research Network, Economic Network (FEN), Social Science Electronic Publishing, Preprint in Social Science, 2011 (electronic edition:   http://papers.ssrn.com/)       also in: DefaultRisk.com, 2009 (electronic edition:   http:// www.defaultrisk.com/pp_quant_06.htm)
  26. Dodig-Crnkovic, G. and Burgin, M. Axiomatic Tools versus Constructive approach to Unconventional Algorithms, Preprint in Computer Science, GL/LO. 1207.1034, 2012 (electronic edition:   http://arXiv.org)              
  27. Burgin, M. and Dodig-Crnkovic, G. From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations, Preprint in Computer Science, GL/LO. 1211.4547, 2012   (electronic edition:   http://arXiv.org)         
  28. Burgin, M. Basic Classes of Grammars with Prohibition, Preprint in Computer Science, FL/CL. 1302.5181, 2013, 15 p. (electronic edition:   http://arXiv.org)
  29. Burgin, M. Evolutionary Turing in the Context of Evolutionary Machines, Preprint in Computer Science, AI, 1304.3762, 2013, 15 p. (electronic edition:   http://arXiv.org)
  30. Burgin, M. and Dodig-Crnkovic, G. Typologies of Computation viewed through the Prism of Computational Models, Preprint in Computer Science, GL/LO. 1312.2447, 2013, 24 p. (electronic edition:   http://arXiv.org) [also https://pdfs.semanticscholar.org/ef55/29dedd9368acb9bae627894de8b0c4a59af8.pdf; https://www.scribd.com/document/190697204/Typologies-of-Computation-viewed-through-the-Prism-of-Computational-Models]
  31. Burgin, M. Negative probability in the framework of combined probability, Preprint in Probability (math.PR), 1306.1166, 2013, 28 p. (electronic edition:   http://arXiv.org)
  32. Burgin, M. Scaling qualitative probability, Preprint in Probability (math.PR), 1702.08504, 2017, 21 p. (electronic edition:   http://arXiv.org)
  33. Burgin, M. Mathematical Knowledge and the Role of an Observer: Ontological and epistemological aspects, Preprint in Mathematics History and Overview (math.HO), 06884, 2017, 15 p. (electronic edition:   http://arXiv.org)
  34. Burgin, M. The General Theory of Information as a Unifying Factor for Information Studies: The noble eight-fold path, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/4044)
  35. Burgin, M. and Feistel, R. Structures and Structural Information, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/4036)
  36. Burgin, M. and Dodig-Crnkovic, G. Information Taxonomy, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/4035)
  37. Burgin, M. Principles of General Ecology, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/3996)
  38. Burgin, M. Problems in the System of Scientific Knowledge, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/3947)
  39. Burgin, M. Bidirectional named sets as structural models of interpersonal communication, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/3916)
  40. Burgin, M., Mikkilineni, R. and Mittal, S. Knowledge processing as structure transformation, in Proceedings of the “Digitalisation for a Sustainable Society: Embodied, Embedded, Networked, Empowered through Information, Computation & Cognition!”, 12–16 June 2017, Gothenburg, Sweden (http://sciforum.net/conference/IS4SI-2017/paper/3988)
  41. Burgin, M. Systems, Actors and Agents: Operation in a multicomponent environment, Preprint in Computer Science, MA/cs.AI. 1711.08319, 2017, 28 p. (electronic edition:   http://arXiv.org)
  42. Burgin, M. and Klinger, A. Representation, Reconstruction and Recognition of 3D Objects, EasyChair Preprint No. 10, March 8, 2018, 11 p. (electronic edition:   https://easychair.org/publications/preprint/rKjS)
  43. Burgin, M., Mikkilineni, R. and Phalke, V. Autopoietic Computing Systems and Triadic Automata: The Theory and Practice, EasyChair Preprint No. 4497, November 2, 2020, 15 p. (electronic edition:   https://easychair.org/publications/preprint/Knkm)
  44. Burgin, M. and Mikkilineni, R. From Data Processing to Knowledge Processing: Operation with Schemas in Autopoietic Machines, Preprints, January 7, 2021 2021010144 (Preprints.org doi: 10.20944/preprints202101.0144.v1)
  45. Burgin, M. and Mikkilineni, R. On the Autopoietic and Cognitive Behavior, EasyChair Preprint no. 6261, August 9, 2021 (https://easychair.org/publications/preprint/tkjk)
  46. Burgin, M. and Mikkilineni, R. From Symbolic Computation to Super-Symbolic Computation, EasyChair Preprint no. 6559, September 8, 2021 (https://easychair.org/publications/preprint/PMjC)
  47. Burgin, M. and Mikkilineni, R. Autopoietic Machines with Structural Information Processing, Preprint Concept Paper, 2021, doi: 10.20944/preprints202111.0418.v1 (www.preprints.org > mathematics & computer science > information technology & data management)
  48. Burgin, M. New Languages of Abstract Automata, EasyChair Preprint no. 7718, April 2022 (https://easychair.org/publications/preprint/Kbm7)
  1. Burgin, M. and Mikkilineni, R. As Some Physicists Claim, Is Information the Fifth State of Matter? General Theory of Information Says No, EasyChair Preprint no. 8112, May 2022

 

 

H. Papers in Encyclopedias and Encyclopedic Dictionaries

  1. Burgin, M. Catastrophe Theory, in “Philosophical Dictionary,” Kiev, 1986, p. 268                (in Ukrainian)
  2. Burgin, M. Constructive Logic, in “Philosophical Dictionary,” Kiev, 1986, pp. 304-305        (in Ukrainian)
  3. Burgin, M. Continuum,  in “Philosophical Dictionary,” Kiev, 1986, p. 306       (in Ukrainian)
  4. Burgin, M. Theory of Catastrophes, Politological Encyclopedic Dictionary, Kyiv, 1997, p. 152                  (in Ukrainian)
  5. Burgin, M. Theory of Games, Politological Encyclopedic Dictionary, Kyiv, 1997, p.129       (in Ukrainian)
  6. Burgin, M. Conflict, Politological Encyclopedic Dictionary, Kyiv, 1997, pp. 173-174  (in Ukrainian)
  7. Burgin, M. Information, Politological Encyclopedic Dictionary, Kyiv, 1997, pp. 147-148   (in Ukrainian)
  8. Burgin, M. and Díaz-Nafría, J.M. General Theory of Information, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es)   (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 99 – 100)    
  9. Burgin, M. Principles of the General Theory of Information, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es)  (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 179 – 180)     
  10. Burgin, M. Mathematical Stratum of the GTI, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es)  (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 165)        
  11. Burgin, M. Algorithmic Information, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es) (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 17)
  12. Burgin, M. and Díaz-Nafría, J.M. Algorithmic Information Theory, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es) (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 17 – 20)     
  13. Burgin, M. Axiomatics for Algorithmic Information, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es)  (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 25 – 27)
  14. Burgin, M. Kolmogorov Complexity, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es) (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 158 – 160)              
  15. Burgin, M. Super-recursive Kolmogorov Complexity, Glossarium – BITri: Interdisciplinary Glossary of Concepts, Metaphors, Theories and Problems Concerning Information, 2011 (electronic edition: http://glossarium.bitrum.unileon.es) (Glossarium – BITri, 2nd edition, UPSE-BITrum, Santa Elena, Ecuador, 2016, pp. 205 – 207)           

 

EXTENDED/FULL PROFILE BIOGRAPHY 

Mark Burgin

It is possible, as it is usually done, to consider person’s biography on the physical/material level describing when and where the person was born, what her/his family was, when and where the person worked, etc. At the same time, it is possible to consider person’s biography on the intellectual/mental level describing her/his achievements in the intellectual life.

Here an intellectual biography of Mark Burgin is presented in the form of his intellectual achievements.

Books and booklets are in bold letters

  1. Pure Mathematics
    1. Theory of Non-Diophantine Arithmetics  
      1. Burgin, M. Non-Diophantine Arithmetics or is it Possible that 2 + 2 is not Equal to 4?Ukrainian Academy of Information Sciences, Kiev, 1997   (in Russian, English summary)
      2. Burgin, M. and Czachor, M. Non-Diophantine arithmetics in mathematics, physics and psychology, World Scientific, New York/London/Singapore, 2020, 960 p.
      3. Burgin, M. Elements of Non-Diophantine Arithmetics, 6th Annual International Conference on Statistics, Mathematics and Related Fields, 2007 Conference Proceedings, Honolulu, Hawaii, January, 2007, pp. 190-203
      4. Burgin, M. Diophantine and Non-Diophantine Arithmetics: Operations with Numbers in Science and Everyday Life, LANL, Preprint Mathematics GM/0108149, 2001, 27 p. (electronic edition:   http://arXiv.org)
      5. Burgin, M. and Meissner, G. 1 + 1 = 3: Synergy Arithmetic in Economics, Applied Mathematics, v. 8, No. 2, 2017, pp. 133 – 144
      6. and others
    2. Functional analysis
      1. Theory of Hypernumbers
        1. Burgin, M. Hypernumbers and Extrafunctions: Extending the Classical Calculus, Springer, New York, 2012
        2. Burgin, M. Functional Algebra and Hypercalculus in Infinite Dimensions: Hyperintegrals, Hyperfunctionals and Hyperderivatives, Nova Science Publishers, New York, 2017
        3. Burgin, M. Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators, Apple Academic Press, Toronto, Canada, 2017
        4. Burgin, M. Topology in Nonlinear Extensions of Hypernumbers, Discrete Dynamics in Nature and Society, v. 10, No. 2, 2005, pp. 145-170
        5. Burgin, M. Theory of Hypernumbers and Extrafunctions: Functional Spaces and Differentiation, Discrete Dynamics in Nature and Society, v. 7, No. 3, 2002, pp. 201-212
        6. and others
      2. Theory of Extrafunctions
        1. Burgin, M. Hypernumbers and Extrafunctions: Extending the Classical Calculus, Springer, New York, 2012
        2. Burgin, M. Functional Algebra and Hypercalculus in Infinite Dimensions: Hyperintegrals, Hyperfunctionals and Hyperderivatives, Nova Science Publishers, New York, 2017
        3. Burgin, M. Hyperfunctionals and Generalized Distributions, in “Stochastic Processes and Functional Analysis” (Eds. Krinik, A.C. and Swift, R.J.; A Dekker Series of Lecture Notes in Pure and Applied Mathematics, v.238) 2004, pp. 81 – 119
        4. Burgin, M. Differential Calculus for Extrafunctions, Doklady of Academy of Sciences of Ukraine, 1993, No. 11, pp.7-11
        5. Burgin, M. Differentiation in Bundles with a Hyperspace Base, Preprint in Mathematics, math.CA/1112.3421, 2011, 27 p. (electronic edition: http://arXiv.org)
        6. and others
      3. Hypermeasures and Hyperintegration
        1. Burgin, M. Integration in Bundles with a Hyperspace Base: Definite Integration, Integration: Mathematical Theory and Applications, v. 3, No. 1, 2012, pp. 1-54
        2. Burgin, M. Integration in Bundles with a Hyperspace Base: Indefinite Integration, Integration: Mathematical Theory and Applications, v. 2, No. 4, 2010/2011, pp. 395-435
        3. Burgin, M. Hyperintegration Approach to the Feynman Integral, Integration: Mathematical Theory and Applications, v. 1, No. 1, 2008, pp. 59-104
        4. Burgin, M. Hypermeasures in General Spaces, International Journal of Pure and Applied Mathematics, 2005, v. 24, No. 3, pp. 299-323
        5. Burgin, M. Integral Calculus for Extrafunctions, Doklady of the National Academy of Sciences of Ukraine, 1995, No. 11, pp. 14-17
        6. and others
    3. Neoclassical Analysis
      1. Fuzzy Convergence
        1. Burgin, M. Theory of Fuzzy Limits, Fuzzy Sets and Systems, 2000, v. 115, No. 3, pp. 433 – 443
        2. Burgin, M. and Duman, O. Statistical Fuzzy Convergence, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008, v. 16, No. 6, pp. 879-902
        3. Burgin, M. and Duman, O. Properties of Fuzzy Statistical Limits, Journal of Intelligent & Fuzzy Systems, 2008, v. 19, No. 6, pp. 385-392
        4. Burgin, M. and Kalina, M. Fuzzy Conditional Convergence and Nearness Relations, Fuzzy Sets and Systems, 2005, v. 149, No. 3, pp. 383-398
        5. Burgin, M. and Westman, J. Fuzzy Calculus Approach to Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,” Washington, 2000, pp. 41-46
        6. and others
      2. Fuzzy Continuity
        1. Burgin, M. Fuzzy Continuous Functions in Discrete Spaces, Annals of Fuzzy Sets, Fuzzy Logic and Fuzzy Systems, v. 1, No. 4, 2012, pp. 231 – 252
        2. Burgin, M. General Approach to Continuity Measures, Fuzzy Sets and Systems, 1999, v. 105, No. 2, pp. 225-231
        3. Burgin, M. Neoclassical Analysis: Fuzzy Continuity and Convergence, Fuzzy Sets and Systems, 1995, v. 75, No. 2, pp.291-299
        4. Burgin, M. and Duman, O. Fuzzy approximate continuity, Journal of Intelligent & Fuzzy Systems, 2009, v. 20, No. 6, pp. 225-233
        5. Burgin, M. and Duman, O. Approximate Fuzzy Continuity of Functions, International Journal of Fuzzy System Applications (IJFSA), v. 1, No. 4, 2011, pp. 37 – 46
        6. and others
      3. Fuzzy Calculus
        1. Burgin, M. Neoclassical Analysis: Calculus closer to the Real World, Nova Science Publishers, New York, 2008
        2. Burgin, M. Recurrent Points of Fuzzy Dynamical Systems, Journal of Dynamical Systems and Geometric Theories, 2005, v. 3, No. 1, pp.1-14
        3. Burgin, M. Fuzzy Optimization of Real Functions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 12, No. 4, 2004, pp. 471-497
        4. Burgin, M. Uncertainty and Imprecision in Analytical Context: Fuzzy Limits and Fuzzy Derivatives, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 9, No. 5, 2001, pp. 563-685
        5. Burgin, M. and Duman, O. Approximations by Linear Operators in Spaces of Fuzzy Continuous Functions, Positivity, v. 15, No. 1, 2011, pp. 57 – 72
        6. and others
    4. Topology
      1. Burgin, M. Scalable Topological Spaces, 5th Annual International Conference on Statistics, Mathematics and Related Fields, 2006 Conference Proceedings, Honolulu, Hawaii, January, 2006, pp. 1865-1896
      2. Burgin, M. Fuzzy Continuity in Scalable Topology, Preprint in Mathematics math.GN/0512627, 2005, 30 p. (electronic edition: http://arXiv.org)
      3. Burgin, M. Discontinuity Structures in Topological Spaces, International Journal of Pure and Applied Mathematics, 2004, v. 16, No. 4, pp. 485-513
      4. Burgin, M. Continuity and Connectedness in Discontinuous Topology, University of California, Los Angeles, Mathematics Report Series, MRS Report 01-06, 2001, 28 p.
      5. Burgin, M. Extended Fixed Point Theorem, in Methodological Problems of Mathematics and Information Sciences, Kiev, 1997, pp.52-60  (in Russian)
      6. and others
    5. Theory of Linear Algebras and Ω-algebras
      1. Burgin, M. Kurosh Varieties of Linear W-algebras, Problems of Theory of Groups and Homological Algebra, Yaroslavl, 1981, pp.17-27  (in Russian)
      2. Burgin, M. Schreier Varieties of Linear Algebras, Soviet Math. Sbornik, 1974, 93, No.4, pp. 555-573
      3. Burgin, M. Permutational products of linear W-algebras, Soviet Math. Izvestiya, 1970, v. 4, No. 3, pp. 977-999 (translated from Russian)
      4. Burgin, M. Gruppoid of linear W-algebras varieties, Russian Mathematical Surveys, 1970, v. 25, No. 3, pp. 263-264 (in Russian)
      5. Burgin, M. and Baranovich, T.M. Linear W-algebras, Russian Mathematical Surveys, 1975, v. 30, No. 4, pp. 61-106 (in Russian)
      6. and others
    6. Theory of Categories
      1. Burgin, M. Homological algebra in G-primitive g-categories, Doklady of the Academy of Science of Belorussia, 1970, v. 14, No. 7, pp. 585-587 (in Russian)
      2. Burgin, M. Categories with involution and relations in g-categories, Transactions of the Moscow Mathematical Society, 1970, v. 22 (1972), pp. 161-228 (translated from Russian)
      3. Burgin, M. Central extensions in g-categories, Notices of the Academy of Sciences of the USSR, 1972, v.13, No. 4 (Doklady, 1972, v. 205, No. 5), pp. 1019-1021 (translated from Russian)
      4. Burgin, M. Some properties of abelian categories with principal objects, Theory of Semigroups and its Applications, Saratov, 1983, v. 6, pp. 99-112 (in Russian)
      5. Burgin, M. Principally generated radicals in abelian categories, in “Problems of group theory and homological algebra,” Yaroslavl, 1985, pp. 104-116 (in Russian)
      6. and others
    7. Differential Equations
      1. Burgin, M. Nonlinear Partial Differential Equations in Extrafunctions, Integration: Mathematical Theory and Applications, v. 2, No. 1, 2010, pp. 17-50
      2. Burgin, M. Nonlinear Cauchy-Kowalewski Theorem in Extrafunctions, Topics in Integration Research (M. Burgin, Ed), Chapter 9, Nova Science Publishers, New York, 2013, pp. 167-202
      3. Burgin, M. and Ralston, J. PDE and Extrafunctions, Rocky Mountain Journal of Mathematics, v. 34, No. 3, 2004, pp. 849-867
      4. Burgin, M. and Dantsker, A.M. Real-Time Inverse Modeling of Control Systems Using Hypernumbers, in Functional Analysis and Probability, Nova Science Publishers, New York, 2015, pp. 439 – 456
      5. Burgin, M. and Dantsker, A.M. A method of solution of operator equations by means of the theory of hypernumbers, Doklady of the National Academy of Sciences of Ukraine, 1995, No. 8, pp. 27-30 (in Russian)
      6. and others
    8. Theory of Groups and Semigroups
      1. Burgin, M. Some properties of the generalized free products and imbedding of group amalgams, Mathematics of the USSR – Sbornik, 1969, v. 5, No. 1 (v. 80, No. 2), pp. 162-180 (translated from Russian)
      2. Burgin, M. Imbedding a group amalgam with some property into a group with the same property, Mathematics of the USSR – Sbornik, 1967, v.3, No. 1 (v.74, No. 1), pp. 147-160 (translated from Russian)
      3. Burgin, M. Free products in group varieties, Russian Mathematical Surveys, 1974, v.29, No. 6, pp. 159-160 (in Russian)
      4. Burgin, M. Strict Kurosh varieties of semigroups, Semigroup Theory and its Applications, Saratov, 1985, No. 5, pp. 22-28 (in Russian)
      5. Burgin, M. Categories, Semigroups, and Named Sets, Semigroup Theory and Applications, Saratov, 1991, v. 10, pp. 7-16 (in Russian)
      6. and others
  2. Foundations of Mathematics and Mathematical Logic
    1. Theory of Named Sets
      1. Mathematical issues
        1. Burgin, M. Theory of Named Sets, Nova Science Publishers, New York, 2011
        2. Burgin, M. Unified Foundations of Mathematics, Preprint Mathematics LO/0403186, 2004, 39 p. (electronic edition: http://arXiv.org)
        3. Burgin, M. Nonuniform Operations on Named Sets, 5th Annual International Conference on Statistics, Mathematics and Related Fields, 2006 Conference Proceedings, Honolulu, Hawaii, January, 2006, pp. 245-271
        4. Burgin, M. Named set compositions in categories, in “Problems of group theory and homological algebra,” Yaroslavl, 1991, pp. 39-52 (in Russian)
        5. Burgin, M. Theory of Named Sets as a Foundational Basis for Mathematics,  in “Structures in Mathematical Theories”, San Sebastian, Spain, 1990, pp. 417-420
        6. and others
      2. Applications
        1. Burgin, M. Structural Organization of Temporal Databases, in Proceedings of the 17th International Conference on Software Engineering and Data Engineering (SEDE-2008), ISCA, Los Angeles, California, 2008, pp. 68-73
        2. Burgin, M. Knowledge in intellectual systems, Conference on Intelligent Management Systems, Varna, 1989, pp. 281‑286
        3. Burgin, M. and Gladun, V.P. Mathematical Foundations of the Semantic Networks Theory, Lecture Notes in Computer Science, 1989, 364, pp. 117‑135
        4. Burgin, M. and Zellweger, P. A Unified Approach to Data Representation, in Proceedings of the 2005 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2005, pp. 3-9
        5. Nocedal, A.S., Gerrikagoitia Arrien, J.K. and Burgin, M. A mathematical model for managing XML data, International Journal of Metadata, Semantics and Ontologies (IJMSO), v. 6, No. 1, 2011, pp. 56 – 73
        6. and others
    2. General Theory of Properties
      1. Burgin, M. Abstract Theory of Properties and Sociological Scaling, in “Expert Evaluation in Sociological Studies,” Kiev, 1990, pp. 243-264 (in Russian)
      2. Burgin, M. Named Sets, General Theory of Properties, and Logic, Institute of philosophy, Kiev, 1989     (in Russian)
      3. Burgin, M. Quantifiers in the Theory of Properties, in “Non-standard Semantics in Non-classical Logics”, Moscow, 1986, pp.99-107    (in Russian)
      4. Burgin, M. Abstract theory of properties, in “Non-classical Logics,” Moscow, 1985, pp. 109-118 (in Russian)
      5. Burgin, M. and Kuznetsov, V.I. Properties in science and their modeling, Quality & Quantity, 1993, 27, pp. 371-382
      6. and others
    3. Theory of Multinumbers and Multicardinal Numbers
      1. Burgin, M. Theory of Named Sets, Nova Science Publishers, New York, 2011
      2. Burgin, M. Nonuniform Operations on Named Sets, 5th Annual International Conference on Statistics, Mathematics and Related Fields, 2006 Conference Proceedings, Honolulu, Hawaii, 2006, pp. 245-271
      3. Burgin, M. Finite and Infinite, in “On the Nature and Essence of Mathematics, Appendix,” Kiev, 1998, pp. 97-108 (in Russian)
      4. Burgin, M. Multicombinatorics: Combinatorial Problems in the Theory of Named Sets, in “On the Nature and Essence of Mathematics, Appendix,” Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 129-135
      5. Burgin, M. Algebraic Structures of Multicardinal Numbers,  Problems of Group Theory and Homological Algebra, Yaroslavl, 1992, pp.3-20   (in Russian)
      6. and others
    4. Theory of Logical Varieties
      1. Burgin, M. Logical Tools for Program Integration and Interoperability, in Proceedings of the 8th IASTED International Conference on Software Engineering and Applications, MIT, Cambridge, 2004, pp. 743-748
      2. Burgin, M. Logical Varieties and Covarieties, in Methodological and Theoretical Problems of Mathematics and Information and Computer Sciences, Kiev, 1997, pp.18-34    (in Russian)
      3. Burgin, M. Logical Methods in Artificial Intelligence Systems, Vestnik of the Computer Science Society, 1991, No. 2, pp.66-78     (in Russian)
      4. Burgin, M. and Rybalov, A. Fuzzy Logical Varieties as Models of Thinking, Emotions, and Will, in “Proceedings of the 10th IFSA World Congress,” Istanbul, Turkey, 2003, pp. 31-34
      5. Burgin, M. and de Vey Mestdagh, C.N.J. Consistent structuring of inconsistent knowledge, Journal of Intelligent Information Systems, v. 45, No. 1, 2015, pp. 5-28
      6. and others
    5. General Theory of Structures
      1. Burgin, M. Structural Reality, Nova Science Publishers, New York, 2012
      2. Burgin, M. Theory of Named Sets, Nova Science Publishers, New York, 2011
      3. Burgin, M. Structure Integration, Integration: Mathematical Theory and Applications, v. 2, No. 2, 2010, pp. 167-212
      4. Burgin, M. Structures in mathematics and beyond, 8th Annual International Conference on Statistics, Mathematics and Related Fields, 2009 Conference Proceedings, Honolulu, Hawaii, 2009, pp. 449-469
      5. Burgin, M. Named Sets and Integration of Structures, in Topics in Integration Research, Chapter 4, Nova Science Publishers, New York, 2013, pp. 55-98
      6. and others
    6. Theory of Concepts
      1. Burgin, M. Structural Reality, Nova Science Publishers, New York, 2012
      2. Burgin, M. and Gorsky, D.P. Towards the construction of a general theory of concept, in “The Opened Curtain”, Oulder-San Francisco-Oxford, 1991, pp. 167-195
      3. Burgin, M. and Díaz-Nafría, J.M. Relational Structure of Conceptual Spaces, Proceedings 2022, v. 8, No. 1, 33; https://doi.org/10.3390/proceedings2022081033
      4. Burgin, M. and Kuznetsov, V.I. Informal and formal analysis of concepts, in Berichte des 12 International Wittgenstein Symposium, Wien, 1988, pp. 163-166
      5. Díaz-Nafría, J.M., Burgin, M. and Rodriguez-Bravo, B. Knowledge Structures and Conceptual Networks for Evaluation of Knowledge Integration, in Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific, New York/London/Singapore, 2019, pp. 457 – 489
      6. and others
  3. Applied Mathematics
    1. Mathematical Theory of Technology
      1. Burgin, M. Robustness of Information Systems and Technologies, in Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 67 – 72
      2. Burgin, M. Mathematical Theory of Information Technology, in Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 42 – 47
      3. Burgin, M. Levels of System Functioning Description: From Algorithm to Program to Technology, in Proceedings of the Business and Industry Simulation Symposium, Society for Modeling and Simulation International, Orlando, Florida, 2003, pp. 3-7
      4. Burgin, M. A Technological Approach to the System Science-Industry-Consumption, Science and Science of Science, 1997, No. 3/4, pp. 73-88 (in Russian)
      5. Burgin, M. Mathematical Theory of Technology,   Methodological Problems of Mathematics and Information Sciences, Kiev, 1997, pp. 91-100   (in Russian)
      6. and others
    2. Optimization
      1. Burgin, M. Neoclassical Analysis as a Tool for Optimization, in Recent Advances in Mathematics, Proceedings of the 19th WSEAS American Conference on Applied Mathematics (AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 16 – 17, 46 – 51
      2. Burgin, M. Fuzzy Optimization with Constraints, in Recent Advances in Mathematics, Proceedings of the 19th WSEAS American Conference on Applied Mathematics (AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 52 – 57
      3. Burgin, M. Fuzzy Optimization of Real Functions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 12, No. 4, 2004, pp. 471-497
      4. Burgin, M. Optimization Calculus, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 193-198
      5. Burgin, M. and Gabovich, E. Equivalence among optimization problems on matrix sets, DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science, 1983, No. 6, pp. 13-24
      6. and others
    3. Probability theory
      1. Hyperprobability
        1. Burgin, M. Symmetric Hyperprobabilities, UPI Journal of Mathematics and Biostatistics (UPI-JMB), v.1, No. 2
        2. Burgin, M. and Krinik, A.C. Hyperexpectation in Axiomatic and Constructive Settings, Functional Analysis and Probability (M. Burgin, Ed), Chapter 12, Nova Science Publishers, New York, 2015, pp. 259 – 288
        3. Burgin, M. and Krinik, A.C. Properties of Conditional Hyperprobabilities, Topics in Integration Research (M. Burgin, Ed), Chapter 15, Nova Science Publishers, New York, 2013, pp. 265-288
        4. Burgin, M. and Krinik, A.C. Hyperexpectations of random variables without expectations, Integration: Mathematical Theory and Applications, v. 3, No. 3, 2012, pp. 245-267
        5. Burgin, M. and Krinik, A.C. Probabilities and Hyperprobabilities, 8th Annual International Conference on Statistics, Mathematics and Related Fields, 2009 Conference Proceedings, Honolulu, Hawaii, January, 2009, pp. 351-367
      2. Negative Probability
        1. Burgin, M. Axiomatizing negative probability, Journal of Advanced Research in Applied Mathematics and Statistics, v. 1, No 1, 2016, pp. 1 – 17
        2. Burgin, M. Picturesque Diversity of Probability, Functional Analysis and Probability (M. Burgin, Ed), Chapter 14, Nova Science Publishers, New York, 2015, pp. 301 – 354
        3. Burgin, M. Integrating random properties and the concept of probability, Integration: Mathematical Theory and Applications, v. 3, No. 2, 2012, pp. 137 – 181
        4. Burgin, M. Extended Probabilities: Mathematical Foundations, Preprint in Physics, math-ph/0912.4767, 2009, 18 p. (electronic edition: http://arXiv.org)
        5. Burgin, M. Interpretations of Negative Probabilities, Preprint in Quantum Physics, quant-ph/1008.1287, 2010, 17 p. (electronic edition: http://arXiv.org)
        6. and others
      3. Inflated Probability
        1. Burgin, M. An Introduction to Symmetric Inflated Probabilities, in Quantum Interaction (de Barros, J. A., Coecke, B. and Pothos, E., Eds.), Theoretical Computer Science and General Issues, v. 10106, Springer, 2017, pp. 206-223
        2. Burgin, M. and Meissner, G. Larger than One Probabilities in Mathematical and Practical Finance, Review of Economics & Finance, v. 2, No 4, 2012, pp. 1-13
    4. Modeling and Simulation
      1. Burgin, M. Mathematical Models for Simulating Technological Processes, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2002, pp. 165-168
      2. Burgin, M. Mathematical Models for Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,” SCS, Seattle, Washington, 2001, pp. 111-118
      3. Burgin, M., Dantsker, A.M. and Esterhuysen, K. Lithium Battery Temperature Prediction, Integration: Mathematical Theory and Applications, v. 3, No. 4, 2014, pp. 319 – 331
      4. Burgin, M. and Greibach, S. A. Abstract Automata as a Tool for Developing Simulation Software, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2002, pp. 176-180
      5. Burgin, M., Karplus, W. and Liu, D. Branching Simulation and Prediction, in “Proceedings of the Business and Industry Simulation Symposium,” SCS, Washington, 2000, pp. 47-52
      6. and others
    5. System Theory
      1. Burgin, M. Products of Operators in a Multidimensional Structured Model of Systems, Mathematical Social Sciences, 1982, No.2, pp. 335-343
      2. Burgin, M. and Grathoff, A. Concurrent systems and time synchronization, International Journal of General Systems, v. 47, No. 4, 2018, pp. 313-328
      3. Burgin, M. and Sadovskii, L.E. Formal models of systems with variable structures, in “Problems of system techniques,” Leningrad, 1985, pp. 117-121
      4. Burgin, M. and Bratalskii, E.A. The principle of asymptotic homogeneity in complex system modeling, in “Operation Research and Automated Control Systems,” Kiev, 1986, pp. 115-122
      5. Burgin, M. and Zak, Yu.A. Principles of automated system design, Control Systems and Machines, 1982, No. 2, pp. 82-89 (in Russian)
      6. and others
    6. Mathematical Linguistics
      1. Burgin, M. Grammars with Exclusion, Journal of Computer Technology & Applications (JoCTA), v. 6, No. 2, 2015, pp. 56 –66
      2. Burgin, M. Grammars with Prohibition and Human-Computer Interaction, in Proceedings of the Business and Industry Simulation Symposium, Society for Modeling and Simulation International, San Diego, California, 2005, pp. 143-147
      3. Burgin, M. Basic Classes of Grammars with Prohibition, Preprint in Computer Science, cs.FL/CL. 1302.5181, 2013, 15 p. (electronic edition: http://arXiv.org)
      4. Burgin, M. and Burgina, E.S. Information retrieval and multi-valued partitions in languages, Cybernetics, 1982, No. 1, pp. 30-42 (Cybernetics and System Analysis, 1983, v. 18, No.1, pp. 35-50) (translated from Russian)
      5. Burgin, M. and Burgina, E.S. Partitions in Languages and Parallel Computations, Programming, 1982, No. 3, pp. 10-20 (Programming and Computer Software, 1982, v. 8, No. 3, pp. 112-120) (translated from Russian)
      6. and others
    7. Mathematical Finance
      1. Burgin, M. and Meissner, G. Extended correlations in finance, J. of Math. Finance, v. 6, pp. 178-188
      2. Burgin, M. and Meissner, G. Mathematical Models in Finance and Negative Probability, in Topics in Integration Research (M. Burgin, Ed), Chapter 16, Nova Science Publishers, New York, 2013, pp. 289-312
      3. Burgin, M. and Meissner, G. Negative Probabilities in Financial Modeling, Wilmott Magazine, March 2012, pp. 60 – 65
      4. Burgin, M. and Meissner, G. Larger than One Probabilities in Mathematical and Practical Finance, Review of Economics & Finance, v. 2, No 4, 2012, p. 1-13
      5. Burgin, M. and Meissner, G. Negative Probabilities in Modeling Random Financial Processes, Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp. 305 – 322
  4. Computer Science
    1. Superrecursive Algorithms
      1. Theory of Superrecursive Algorithms
        1. Burgin, M. Super-recursive Algorithms, Springer, New York/ Heidelberg/ Berlin, 2005, 304 p.
        2. Burgin, M. Periodic Turing Machines, Journal of Computer Technology & Applications (JoCTA), v. 5, No. 3, 2014, pp. 6 – 18
        3. Burgin, M. How We Know What Technology Can Do, Communications of the ACM, v. 44, No. 11, 2001, pp. 82-88
        4. Burgin, M. Theory of Super-recursive Algorithms as a Source of a New Paradigm for Computer Simulation, in “Proceedings of the Business and Industry Simulation Symposium,” Washington, 2000, pp. 70-75
        5. Burgin, M. Super-recursive Algorithms as a Tool for High Performance Computing, in Proceedings of the High Performance Computing Symposium, San Diego, 1999, pp. 224-228
        6. and others
      2. Inductive Computations and inductive Turing machines
        1. Burgin, M. Properties of Stabilizing Computations, Theory and Applications of Mathematics and Computer Science, v. 5, No. 1, 2015, pp. 71 – 93
        2. Burgin, M. Nonlinear Phenomena in Spaces of Algorithms, International Journal of Computer Mathematics, v. 80, No. 12, 2003, pp. 1449-1476
        3. Burgin, M. Functioning of Inductive Turing Machines, International Journal of Unconventional Computing (IJUC), v. 10, No. 1-2, 2014, pp. 19-35
        4. Burgin, M. Arithmetic Hierarchy and Inductive Turing Machines, Notices of the Academy of Sciences of the USSR, 1988, v. 299, No. 3, pp. 390-393 (translated from Russian)
        5. Burgin, M. Inductive Turing Machines with multiple heads and Kolmogorov algorithms, Notices of the Academy of Sciences of the USSR, 1984, 275, No. 2, pp. 280-284 (translated from Russian)
        6. and others
      3. Limit Computations and limit Turing machines
        1. Burgin, M. Topological Algorithms, in Proceedings of the ISCA 16th International Conference “Computers and their Applications”, ISCA, Seattle, Washington, 2001, pp. 61-64
        2. Burgin, M. Universal limit Turing machines, Notices of the Russian Academy of Sciences, 1992, v.325, No. 4, pp. 654-658 (translated from Russian: 1993, v. 46, No. 1, pp. 79-83)
        3. Borodyanskiy, Y.M. and Burgin, M. Social processes and limit computations, in “Catastrophe, Chaos, and Self-Organization in Social Systems,” Koblenz, 1993, pp. 117-123
        4. Burgin, M. and Borodyanskiy, Y.M. Infinite Processes and Super-recursive Algorithms, Notices of the Academy of Sciences of the USSR, 1991, v.321, No. 5, pp. 876-879  (translated from Russian: 1992, v.44, No. 1)
        5. Burgin, M. and Borodyanskiy, Y.M. Procedural models of human-database interaction, II International conference “Knowledge-Dialogue-Decision”, Kaliningrad, 1992, pp. 4-18
        6. and others
      4. Applications of Superrecursive Algorithms
        1. Burgin, M. Procedures of sociological measurements, Catastrophe, Chaos, and Self-Organization in Social Systems, Koblenz, 1993, pp. 125-129
        2. Burgin, M. and Ades, M. Monte Carlo Methods and Superrecursive Algorithms, in Proceedings of the Spring Simulation Multiconference (ADS, BIS, MSE, and MSEng), Society for Modeling and Simulation International, San Diego, California, 2009, pp. 289-294
        3. Burgin, M. and Debnath, N.C. Superrecursive Algorithms in Testing Distributed Systems, in Proceedings of the ISCA 24th International Conference “Computers and their Applications” (CATA-2009), ISCA, New Orleans, Louisiana, USA, April, 2009, pp. 209-214
        4. Burgin, M. and Gupta, B. Second-level Algorithms, Superrecursivity, and Recovery Problem in Distributed Systems, Theory of Computing Systems, v. 50, No. 4, 2012, pp. 694-705
        5. Burgin, M. and Klinger, A. Experience, Generations, and Limits in Machine Learning, Theoretical Computer Science, v. 317, No. 1/3, 2004, pp. 71-91
        6. and others
    2. Theory of Complexity of Algorithms and Computations
      1. Axiomatic Complexity 
        1. Burgin, M. Super-recursive Algorithms, Ch. 5, Springer, New York/ Heidelberg/ Berlin, 2005, 304 p.
        2. Burgin, M. Complexity measures in the axiomatic theory of algorithms, in “Methods of design of applied intelligent program systems,” Kiev, 1992, pp. 60-67 (in Russian)
        3. Burgin, M. Generalized Kolmogorov Complexity and other Dual Complexity Measures, Cybernetics, 1990, No. 4, pp. 21-29 (translated from Russian: v. 26, No. 4, pp. 481-490)
        4. Burgin, M. Complexity measures on systems of parallel algorithms, Programming and Computer Software, 1984, No. 1, pp. 17-28 (translated from Russian)
        5. Burgin, M. and Debnath, N.C. Complexity Measures for Software Engineering, Journal for Computational Methods in Science and Engineering, 2005, v. 5, Supplement 1, pp. 127-143
        6. and others
      2. Inductive Complexity
        1. Inductively Computable Hierarchies and Inductive Algorithmic Complexity, Global Journal of Computer Science and Technology, Ser. H: Information & Technology, v. 16, No. 1, 2016, pp. 35 – 45
        2. Burgin, M. Algorithmic Complexity of Computational Problems, International Journal of Computing & Information Technology, 2010, v. 2, No. 1, pp. 149-187
        3. Burgin, M. Algorithmic Complexity of Recursive and Inductive Algorithms, Theoretical Computer Science, v. 317, No. 1/3, 2004, pp. 31-60
        4. Burgin, M. Multiple computations and Kolmogorov complexity for such processes, Notices of the Academy of Sciences of the USSR, 1983, v. 27, No. 2 (v. 269, No.4), pp. 793-797 (translated from Russian)
        5. Burgin, M., Calude, C.S. and Calude, E. Inductive Complexity Measures for Mathematical Problems, International Journal of Foundations of Computer Science, v. 24, No. 4, 2013, pp. 487-500
        6. and others
    3. Cellular Automata
      1. Burgin, M. Cellular Engineering, Complex Systems, v. 18, No. 1, 2008, pp. 103-129
      2. Burgin, M. Inductive Cellular Automata, International Journal of Data Structures and Algorithms, v. 1, No 1, 2015, pp. 1-9
      3. Burgin, M. Computational Technosphere and Cellular Engineering, in Irreducibility and Computational Equivalence, Springer, Heidelberg/New York/ Dordrecht/London, 2013, pp. 113 – 124
    4. Theory of Grid Automata
      1. Burgin, M. Super-recursive Algorithms, Ch. 4, Springer, New York/ Heidelberg/ Berlin, 2005, 304 p
      2. Burgin, M. Grid Automata as a Tool for Network Design, in “Proceedings of the 8th WSEAS International Conference on Data Networks, Communications, Computers” (DNCOCO’09), Baltimore, Maryland, USA, November, 2009, pp. 147 – 151
      3. Burgin, M. From Neural networks to Grid Automata, in Proceedings of the IASTED International Conference ”Modeling and Simulation”, Palm Springs, California, 2003, pp. 307-312
      4. Burgin, M. Cluster Computers and Grid Automata, in Proceedings of the ISCA 17th International Conference “Computers and their Applications”, International Society for Computers and their Applications, Honolulu, Hawaii, 2003, pp. 106-109
      5. Burgin, M. and Mikkilineni, R. Semantic Network Organization Based on Distributed Intelligent Managed Elements: Improving Efficiency and Resiliency of Computational Processes, in Proceedings of the Sixth International Conference on Advances in Future Internet (AFIN 2014), Lisbon, Portugal, pp. 1-7
      6. and others
    5. Theory of Evolutionary Computations and Evolutionary Machines
      1. Burgin, M. and Eberbach, E. Universality for Turing Machines, Inductive Turing Machines and Evolutionary Algorithms, Fundamenta Informaticae, v. 91, No. 1, 2009, pp. 53-77
      2. Burgin, M. and Eberbach, E. Cooperative Combinatorial Optimization: Evolutionary Computation Case Study, BioSystems, v. 91, No. 1, 2008, pp. 34-50
      3. Burgin, M. and Eberbach, E. On Foundations of Evolutionary Computation: An Evolutionary Automata Approach, in Handbook of Research on Artificial Immune Systems and Natural Computing: Applying Complex Adaptive Technologies, IGI Global, Hershey, Pennsylvania, 2009, pp. 342-260
      4. Burgin, M. and Eberbach, E. Evolution of Evolution: Self-constructing Evolutionary Turing Machine Case Study, in Proceedings of the 2007 Congress on Evolutionary Computation CEC’2007, Singapore, 2007, pp. 4599-4604
      5. Burgin, M. and Eberbach, E. Homologies and Power of Genetic Algorithms and Genetic Programming, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, San Diego, California, 2005, pp. 148-152
      6. and others
    6. Theory of Concurrent Computations
      1. Burgin, M. Algorithmic Control in Concurrent Computations, in Proceedings of the 2006 International Conference on Foundations of Computer Science, CSREA Press, Las Vegas, June, 2006, pp. 17-23
      2. Burgin, M. and Mikkilineni, R. Agent technology, superrecursive algorithms and DNA as a tool for distributed clouds and grids, in Proceedings of the 25th IEEE International Conference on Enabling Technologies: Infrastructure for Collaborative Enterprises (WETICE 2016), Paris, France, June 12-15, 2016, pp. 89-94
      3. Burgin, M. and Smith, M.L. A Theoretical Model for Grid, Cluster and Internet Computing, in Selected Topics in Communication Networks and Distributed Systems, World Scientific, New York/London/Singapore, 2010, pp. 485-535
      4. Burgin, M. and Smith, M.L. A Unifying Model of Concurrent Processes, in Proceedings of the 2007 International Conference on Foundations of Computer Science (FCS’07), CSREA Press, Las Vegas, Nevada, USA, 2007, pp.321-327
      5. Burgin, M. and Smith, M.L. Compositions of Concurrent Processes, in “Communicating Process Architectures”, IOS Press, Scotland, September, 2006, pp. 281-296
      6. and others
    7. Axiomatic Theory of Algorithms
      1. Burgin, M. Measuring Power of Algorithms, Computer Programs, and Information Automata, Nova Science Publishers, New York, 2010, 347 p.
      2. Burgin, M. Decidability and Universality in the Axiomatic Theory of Computability and Algorithms, International Journal of Foundations of Computer Science, v. 23, No. 7, 2012, pp. 1465 – 1480
      3. Burgin, M. Universality, Reducibility, and Completeness, Lecture Notes in Computer Science, 2007, v. 4664, pp. 24-38
      4. Burgin, M. Algorithms and algorithmic problems, Programming, 1985, No. 4, pp. 3-14 (Programming and Computer Software, 1985)  (translated from Russian)
      5. Burgin, M. Complexity measures in the axiomatic theory of algorithms, in “Methods of design of applied intellectual program systems”, Kiev, 1992, pp. 60-67 (in Russian)
      6. and others
    8. Software correctness
      1. Burgin, M. and Debnath, N.C. Correctness in the Software Life Cycle, in Proceedings of the 16th International Conference on Software Engineering and Data Engineering (SEDE-2007), ISCA, Las Vegas, Nevada, July 9-11, 2007, pp. 26-31
      2. Burgin, M. and Debnath, N.C. Software Correctness, in Proceedings of the ISCA 21st International Conference “Computers and their Applications”, ISCA, Seattle, Washington, 2006, pp. 259-264
      3. Burgin, M. and Debnath, N.C. Measuring Testing as a Distributed Component of the Software Life Cycle, Journal for Computational Methods in Science and Engineering, 2009, v. 9, No. 1/2, Supplement 2, pp. 211-223
      4. Burgin, M. and Debnath, N.C. Complexity Measures for Software Engineering, Journal for Computational Methods in Science and Engineering, 2005, v. 5, Supplement 1, pp. 127-143
      5. Burgin, M. and Debnath, N.C. Super-Recursive Algorithms in Testing Distributed Systems, in Proceedings of the ISCA 24th International Conference “Computers and their Applications” (CATA-2009), ISCA, New Orleans, Louisiana, USA, April, 2009, pp. 209-214
      6. and others
    9. Theory of Interactive Computation
      1. Burgin, M. Interactive Hypercomputation, in Proceedings of the 2007 International Conference on Foundations of Computer Science (FCS’07), CSREA Press, Las Vegas, Nevada, USA, 2007, pp. 328-333
      2. Burgin, M. Grammars with Prohibition and Human-Computer Interaction, in Proceedings of the Business and Industry Simulation Symposium, Society for Modeling and Simulation International, San Diego, California, 2005, pp. 143-147
      3. Burgin, M. Reflexive Turing Machines and Calculi, Vychislitelnyye Systemy (Logical Methods in Computer Science), No. 148, 1993, pp. 94-116, 175-176 (in Russian)
      4. Ades, M.J., Burgin, M. and DeShane, L.M. Individual, Group, and Interactive Optimization in a Form of Genetic Algorithms, in Proceedings of the Business and Industry Simulation Symposium, Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 182-186
      5. Burgin, M. and Borodyanskiy, Yu.M. Procedural models of human-database interaction, II International conf. “Knowledge-Dialogue-Decision”, Kaliningrad, 1992, pp. 4-18
      6. and others
    10. Programming metalanguages
      1. Burgin, M. The Block-Scheme Language as a Programming Language, Problems of Radio-Electronics, 1973, No. 7, pp. 39-58 (in  Russian)
      2. Burgin, M. Flow-charts in programming: arguments pro et contra, Control Systems and Machines, No. 4-5, 1996, pp. 19-29       (in  Russian)
      3. Burgin, M. Variables in the Block-Scheme Language, Programming, 1978, v. 4, No. 2, pp. 3-11 (Programming and Computer Software, 1978, v. 4, No. 2, pp. 79-85) (translated from Russian)
      4. Burgin, M. Recursion Operator and Representability of Functions in the Block-Scheme Language, Programming, 1976, No. 4, pp. 13-23 (Programming and Computer Software, 1976, v. 2, No.4) (translated from Russian)
      5. Burgin, M. and Eggert, P. Types of Software Systems and Structural Features of Programming and Simulation Languages, in “Proceedings of the Business and Industry Simulation Symposium,” Society for Modeling and Simulation International, Arlington, Virginia, 2004, pp. 177-181
      6. and others
    11. Structural Machines
      1. Burgin, M. Information Processing by Structural Machines, in Theoretical Information Studies: Information in the World, 2020, pp. 323–371
      2. Burgin, M. and Adamatzky, A. Structural Machines as a Mathematical Model of Biological and Chemical Computers, Theory and Applications of Mathematics & Computer Science, v. 7, No. 2, 2017, pp. 1 – 30
      3. Burgin, M. and Adamatzky, A. Structural machines and slime mold computation, International Journal of General Systems, v. 45, No. 3, 2017, pp. 201-224
      4. Mikkilineni, R. and Burgin, M. Structural Machines as Unconventional Knowledge Processors, Proceedings, 2020, v. 47, No.1, 26, 6 p.; doi:10.3390/proceedings47010026
      5. Burgin, M. and Mikkilineni, R. Autopoietic Machines with Structural Information Processing, Preprint Concept Paper, 2021, doi: 10.20944/preprints202111.0418.v1 (www.preprints.org > mathematics & computer science > information technology & data management)
      6. and others
    12. Triadic and Symmetric Automata
      1. Burgin, M. Triadic Automata and Machines as Information Transformers, Information, v. 11, No. 2, 2020, 102; doi:10.3390/info11020102
      2. Burgin, M. Symmetric Automata and Computations, in Handbook of Unconventional Computing, World Scientific, New York/London/Singapore, 2021, pp. 405-444
      3. Burgin, M. Information Processing by Symmetric Inductive Turing Machines, Proceedings, 2020, v. 47, No.1, 28, 2 p. ; doi:10.3390/proceedings47010028
      4. Burgin, M. Reflexive Calculi and Logic of Expert Systems, in Creative processes modeling by means of knowledge bases, Sofia, 1992, pp. 139-160
      5. Burgin, M. and Mikkilineni, R. Autopoietic Computing Systems and Triadic Automata: The Theory and Practice, Advances in Computer and Communications, v. 1, No. 1, 2020, pp. 16-35
  5. Artificial Intelligence
    1. Theory of Knowledge
      1. Quantum Theory of Knowledge Systems
        1. Burgin, M. Theory of Knowledge: Structures and Processes, World Scientific, New York/London/Singapore, 2016, 964 p.
        2. Burgin, M. Data, Information, and Knowledge, Information, v. 7, No.1, 2004, pp. 47-57
        3. Burgin, M. Knowledge and Data in Computer Systems, in Proceedings of the ISCA 17th International Conference “Computers and their Applications”, International Society for Computers and their Applications, San Francisco, California, 2002, pp. 307-310
        4. Burgin, M. The Phenomenon of Knowledge, Philosophical and Sociological Thought, 1995, No. 3-4, pp. 41-63 (in Russian and Ukrainian)
        5. Burgin, M. and Gantenbein, R.E. Knowledge Discovery, Information Retrieval, and Data Mining, in Proceedings of the ISCA 17th International Conference “Computers and their Applications”, International Society for Computers and their Applications, San Francisco, California, 2002, pp. 55-58
        6. and others
      2. Global Theory of Knowledge
        1. Burgin, M. Theory of Knowledge: Structures and Processes, World Scientific, New York/London/Singapore, 2016, 964 p.
        2. Burgin, M.S. and Kuznetsov, V.I. Scientific Problems and Questions from a Logical Point of View, Synthese, 1994, v.100, No. 1, pp. 1 – 28
        3. Burgin, M.S. and Kuznetsov, V.I. Model Part of a Scientific Theory, Epistemologia, 1992, XV, No. 1, pp. 41 – 64
        4. Burgin, M.S. and Kuznetsov, V.I. New dimensions of scientific theory, Visnik of the Academy of Sciences of Ukraine, 1990, No. 10, pp. 26-30 (in Ukrainian)
        5. Burgin, M.S. and Kuznetsov, V.I. Knowledge representation in intellectual systems, in Intellect, man, and computer, Novosibirsk, 1994, pp. 35-56 (in Russian)
        6. and others
    2. Theory of Information
      1. General Theory of Information
        1. Burgin, M. Theory of Information: Fundamentality, Diversity and Unification, World Scientific, New York/London/Singapore, 2010
        2. Burgin, M. The General Theory of Information as a Unifying Factor for Information Studies: The noble eight-fold path, Proceedings, 2017, v. 1, No. 3, 164; doi:10.3390/IS4SI-2017-04044
        3. Burgin, M. Information Operators in Categorical Information Spaces, Information, v. 1, No.1, 2010, pp. 119 – 152
        4. Burgin, M. Information: Problems, Paradoxes, and Solutions, TripleC, v. 1, No.1, 2003, pp. 53-70
        5. Burgin, M. Information Algebras, Control Systems and Machines, 1997, No. 6, pp.5-16 (in Russian)
        6. and others
      2. Algorithmic Information Theory
        1. Burgin, M. Decreasing Complexity in Inductive Computations, Advances in Unconventional Computing, series Emergence, Complexity and Computation, Springer, 2016, v. 22, pp. 183-203
        2. Burgin, M. Algorithmic Complexity as a criterion of unsolvability, Theoretical Computer Science, v. 383, No. 2/3, 2007, pp. 244-259
        3. Burgin, M. Evolutionary Information Theory, Information, v. 4, No. 2, 2013, pp. 224 – 268
        4. Burgin, M. Algorithmic Approach in the Dynamic Information Theory, Notices of the Russian Academy of Sciences, 1995, v. 342, No. 1, pp. 7-10 (translated from Russian)
        5. Burgin, M. Generalized Kolmogorov complexity and duality in the theory of computations, Notices of the Academy of Sciences of the USSR, 1982, v. 264, No. 2 (v.25, No. 3), pp. 19-23
        6. and others
    3. Mathematical Theory of Oracles
      1. Burgin, M. Inaccessible Information and the Mathematical Theory of Oracles, in Information Studies and the Quest for Transdisciplinarity: Unity through Diversity, World Scientific, New York/London/Singapore, 2017, pp. 59 – 114
      2. Burgin, M. Actors, Agents and Oracles in the Context of Artificial Intelligence, Journal of Artificial Intelligence Research & Advances, v. 4, No. 3, 2017, pp. 17-25
      3. Burgin, M. On the power of oracles in the context of hierarchical intelligence, Journal of Artificial Intelligence Research & Advances, v. 3, No. 2, 2016, pp. 6 – 17
      4. Burgin, M. Swarm Superintelligence and Actor Systems, International Journal of Swarm Intelligence and Evolutionary Computation, v. 6, No. 3, 2017, open access (https://www.omicsonline.org/open-access/swarm-superintelligence-and-actor-systems-2090-4908-1000167-97430.html?view=mobile)
      5. Mikkilineni, R., Morana, G. and Burgin, M. Oracles in Software Networks: A New Scientific and Technological Approach to Designing Self-Managing Distributed Computing Processes, Proceedings of the 2015 European Conference on Software Architecture Workshops, Dubrovnik/Cavtat, Croatia, September 7-11, 2015, ACM, 2015, pp. 11:1-11:8
    4. Mathematical Schema Theory
      1. Burgin, M. Mathematical Schema Theory for Network Design, in Proceedings of the ISCA 25th International Conference “Computers and their Applications” (CATA-2010), ISCA, Honolulu, Hawaii, 2010, pp. 157-162
      2. Burgin, M. From Craft to Engineering: Software Development and Schema Theory, in Proceedings of the 2009 WRI World Congress Computer Science and Information Engineering (CSIE 2009), WRI, Los Angeles, California, 2009 (CD edition, 5 p.)
      3. Burgin, M. Operational and Program Schemas, in Proceedings of the 15th International Conference on Software Engineering and Data Engineering (SEDE-2006), ISCA, Los Angeles, California, July 6-8, 2006, pp. 74-78
      4. Burgin, M. Mathematical Schema Theory for Modeling in Business and Industry, Proceedings of the 2006 Spring Simulation MultiConference (SpringSim ’06), April 2-6, 2006, Huntsville, Alabama, pp. 229-234
      5. Burgin, M. Mathematical Models in Schema Theory, Preprint in Computer Science and Artificial Intelligence, cs.AI/0512099, 2005, 57 p. (electronic edition: http://arXiv.org)
      6. and others
    5. Semantic Networks
      1. Burgin, M. Named Sets in the Semantic Network Theory, in Knowledge – Dialog – Decision, Leningrad, Russia, 1991, pp. 43-47 (in Russian)
      2. Burgin, M. and Gladun, V.P. Mathematical Foundations of the Semantic Networks Theory, Mathematical Fundamentals of Database Systems, Lecture Notes in Computer Science, 1989, v. 364, pp. 117-135
      3. Burgin, M. and Gladun, V.P. Mathematical models of semantic networks based on the named sets, in Decision Support Systems, Budapest, Hungary, 1990, pp. 81-96 (in Russian)
      4. Burgin, M. and Mikkilineni, R. Semantic Network Organization Based on Distributed Intelligent Managed Elements: Improving Efficiency and Resiliency of Computational Processes, in Proceedings of the Sixth International Conference on Advances in Future Internet (AFIN 2014), Lisbon, Portugal, pp. 1-7
      5. Burgin, M., Mikkilineni, R. and Morana, G. Intelligent organization of semantic networks, DIME network architecture and grid automata, International Journal of Embedded Systems, v. 8, No. 4, 2016, pp. 352-366
      6. and others
    6. Semiotics
      1. Burgin, M. and Feistel, R. Structural and Symbolic Information in the Context of the General Theory of Information, Information, v. 8, No. 4, 2017, 139; doi:10.3390/info8040139
      2. Burgin, M. and Schumann, J. Three Levels of the Symbolosphere, Semiotica, v. 160, No. 1/4, 2006, pp. 185-202
      3. Burgin, M. and Seaman, W. In the Circle of Sense and Nonsense: Through a Mathematical Model of Meaning, Leonardo, v. 55, No. 1, pp. 18–23 (online 2021: https://direct.mit.edu/leon/online-early)
      4. Burgin, M. and Rothbart, D. Metaphor as an Exact Concept in the Theory of Properties, Theoria, 1998, No. 2, pp. 91-103 (in Serbian)
      5. Burgin, M. and Kuznetsov, V.I. Concepts in cognitive systems and their structure-nominative models, in “Theory of cognition and logic”, Works of soviet scientists to the XVIII International Congress of Philosophy (Brighton,1988), Moscow, 1988, pp. 52-58
      6. and others
  6. Philosophy and Methodology of Science and Mathematics
    1. Theory of Fundamental Triads (Ontology and Epistemology)
      1. Burgin, M. Fundamental Structures of Knowledge and Information: Achieving an Absolute, Ukrainian Academy of Information Sciences, Kiev, 1997   (in Russian)
      2. Burgin, M. Empirical Foundations of the Theory of Triads, Reports of the International Convent of the Trinitary Knowledge, No. 1, 1997/98, pp. 119-127 (in Ukrainian)
      3. Burgin, M. Fundamental Base of the Theory of Triads, Idea, 1994, No. 2, pp. 32-45 (in Ukrainian)
      4. Burgin, M. What is the Surrounding World Built of, Philosophical and Sociological Thought, 1991, No. 8, pp.54-67   (in Russian)
      5. Burgin, M. On the way to the “Absolute”: Triad is the most fundamental structure in human society, Visnik of the Academy of Sciences of Ukraine, 1993, No. 5, pp. 29-35    (in Ukrainian)
      6. and others
    2. Philosophy of Mathematics
      1. Burgin, M. On the Nature and Essence of Mathematics, Ukrainian Academy of Information Sciences, Kiev, 1998             (in Russian)
      2. Burgin, M. Information-Oriented Analysis of Discovery and Invention in Mathematics, in Philosophy and Methodology of Information: The Study of Information in the Transdisciplinary Perspective, World Scientific, New York/London/Singapore, 2019, pp. 171 – 199
      3. Burgin, M. Mathematical Knowledge and the Role of an Observer: Ontological and epistemological aspects, Preprint in Mathematics History and Overview (math.HO), 1709.06884, 2017, 15 p. (electronic edition: http://arXiv.org)
      4. Burgin, M. Is it Possible that Mathematics Gives new Knowledge about Reality, Philosophical and Sociological Thought, 1994, No. 1, pp. 240-249 (in Russian and Ukrainian)
      5. Burgin, M. and Kuznetsov, V.I. Structure and Development of Mathematical Theories, Modern Logic, 1991, v.2, No. 1, pp. 3-28
      6. and others
    3. Structure-Nominative Approach in Methodology of Science
      1. Burgin, M.S. and Kuznetsov, V.I. Introduction to the Modern Exact Methodology of Science,ISF, Moscow, 1994, 303 p.  (in Russian)
      2. Burgin, M.S. and Kuznetsov, V.I. Nomological structures in Scientific Theories, Kiev, Naukova Dumka, 1993, 221 p. (in Russian)
      3. Burgin, M.S. and Kuznetsov, V.I. The World of Theories and the Power of Mind, Kiev, P.C. Ukraine, 1991 (1992), 231 p. (in Russian)
      4. Burgin, M. and Kuznetsov, V. The structure-nominative reconstruction of scientific knowledge, Epistemologia, Italy, 1988, v. XI, No. 2, pp. 235-254
      5. Burgin, M.S. and Kuznetsov, V.I. Scientific theory and its subsystems, Philosophical Thought, 1987, No. 5, pp. 34-46    (in Ukrainian)
      6. and others
    4. Epistemology/Theory of Cognition
      1. Burgin, M. Theory of Knowledge: Structures and Processes, World Scientific, New York/London/Singapore, 2016, 964 p.
      2. Burgin, M. Named Sets as a Basic Tool in Epistemology, Epistemologia, 1995, XVIII, pp. 87-110
      3. Burgin, M. Ahead of Time or Unknown Sensations, Visnik of the National Academy of Science of Ukraine, No. 7/8, 1995, pp. 97-101 (in Ukrainian)
      4. Burgin, M. Analogy and Argumentation in Artificial Intelligence Systems, Vychislitelnyye Sistemy (Logical Methods in Computer Science), No. 148, 1993, pp. 82-93 (in Russian)
      5. Burgin, M.S. and Onoprienko, V.I. Social Stereotypes and Scientific Paradigms as Regulators of Scientific Activity, Kiev, STEP Center, 1996 (in Russian)
      6. and others
    5. Ontology (Structural Approach)
      1. Burgin, M. Ideas of Plato in the context of contemporary science and mathematics, Athens Journal of Humanities and Arts, July 2017, pp. 161 – 182
      2. Burgin, M. Structural reality, Nova Science Publishers, New York, 2012
      3. Burgin, M. Platonic Triangles and Fundamental Triads as the Basic Elements of the World, Athens Journal of Humanities and Arts, v. 5, No. 1, July 2018, pp. 29 – 44
      4. Burgin, M. Information in the Structure of the World, Information: Theories & Applications, 2011, v.18, No. 1, pp. 16 – 32
      5. Burgin, M. Information: Concept Clarification and Theoretical Representation, TripleC, v. 9, No.2, 2011, pp. 347-357 (http://triplec.uti.at)
      6. and others
    6. Philosophy of Computer Science and Information Technology
      1. Burgin, M. How We Know What Technology Can Do, Communications of the ACM, v. 44, No. 11, 2001, pp. 82-88
      2. Burgin, M. and Dodig-Crnkovic, G. From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations, in Computing Nature, Studies in Applied Philosophy, Epistemology and Rational Ethics, v. 7, Springer-Verlag, Berlin/Heidelberg, 2013, pp. 41-254
      3. Burgin, M. and Dodig-Crnkovic, G. Information and Computation – Omnipresent and Pervasive, in Information and Computation, World Scientific, New York/London/Singapore, 2011, pp. vii – xxxii
      4. Dodig-Crnkovic, G. and Burgin, M. Unconventional Algorithms: Complementarity of Axiomatics and Construction, Entropy, v. 14, No. 5, 2012, pp. 2066-2080
      5. Dodig-Crnkovic, G. and Burgin, M. Axiomatic Tools versus Constructive approach to Unconventional Algorithms, in Proceedings of Symposium on Natural Computing/Unconventional Computing and its Philosophical Significance, AISB/IACAP World Congress 2012, Birmingham, UK, July 2-6, 2012, pp. 100-105
      6. and others
    7. Philosophy and Methodology of Education
      1. Burgin, M. Information in the Context of Education, The Journal of Interdisciplinary Studies, v. 14, Fall 2001, pp. 155-166
      2. Burgin, M. Technology in Education, Proceedings of IEEE Computer Society Conference on Frontiers of Education, Champaign, IL, Stripes Publ., 1999, v. 1, pp. 12A9/26 – 12A9/29
      3. Burgin, M. A Historical Perspective in Teaching Science and Mathematics, The Journal of Interdisciplinary Studies, v. 13, Fall 2000, pp. 1-11
      4. Burgin, M. Innovations and novelty in pedagogy, Soviet Pedagogy, 1989, No. 12, pp. 36-40 (in Russian)
      5. Burgin, M. and Ball, G.A. Psychological influence analysis and its pedagogical aspects, Voprosy Psyhologii, 1994, No. 4, pp. 56-66 (in Russian)
      6. and others
    8. Philosophy and Methodology of Physics
      1. Burgin, M. and Czachor, M. Non-Diophantine arithmetics in mathematics, physics and psychology, World Scientific, New York/London/Singapore, 2020
      2. Capuro, R. and Burgin, M. The Structure of the World, Unity of Nature and the Problem of Time, in Theoretical Information Studies: Information in the World, World Scientific, New York/London/Singapore, 2020, pp. 139–176
      3. Burgin, M.S. and Milov, Yu. Existential Triad: A Structural Analysis of the Whole, Totalogy, 1999, v. 2/3, pp. 387-406
      4. Burgin, M. and Kuznetsov, V. Types of Symmetries in Physical Theories, in Group-Theoretical Methods in Physics, v.2, Moscow, 1986, pp. 362-371 (in Russian)
      5. Burgin, M. and Kuznetsov, V. The structure-nominative reconstruction of a physical theory, in “Modern philosophical problems of quantum physics,” Kharkov, 1986 (deposited in INION of the National Academy of the USSR, in Russian)
      6. and others
  7. Psychology
    1. Theory of Intellectual Activity and Creativity
      1. Burgin, M. Intellectual Components of Creativity, Aerospace Academy of Ukraine, Kiyv, 1998 (in Ukrainian)
      2. Burgin, M. Intellectual activity and student development, in Psychological Foundations of Education Humanization, Rivne, 1995, pp. 30-36 (in Ukrainian)
      3. Burgin, M. Intellectual Activity as a Psychological Phenomenon, International Journal of Psychology, v.31, No. 3/4, 1996 (XXVI International Congress of Psychology, Montreal, 1996)
      4. Burgin, M. Static and Dynamic Approach to Person‘s Intelligence, in Ukrainian Psychology: Modern Potential, Kiev, 1996, pp. 154-159 (in Ukrainian)
      5. Burgin, M. Intellectual Development: Unity of Theory and Practice, Way of Education, 1998, No. 1, pp. 6-10 (in Ukrainian)
      6. and others
    2. Models of Personality (Extensional Model and Extended Triune Model)
      1. Burgin, M. Theory of Information: Fundamentality, Diversity and Unification, Ch 2, World Scientific, New York/London/Singapore, 2010
      2. Burgin, M. Fundamental Structures of Knowledge and Information: Achieving an Absolute, Ch.5,Ukrainian Academy of Information Sciences, Kiev, 1997   (in Russian)
      3. Burgin, M. The Extensional Model of Personality, Ananyev Readings, S.-Petersburg, 1997, pp. 114-115 (in Russian)
      4. Burgin, M.S. and Goncharenko, S.U. Methodological Level of the Practical Problems in Pedagogy, Philosophical and Sociological Thought, 1989, No.4, pp. 3-12    (in Russian and Ukrainian)
      5. Burgin, M. and Neishtadt, L. Communication and discourse in teachers professional activity, Section 4.2, Daugavpils, DPI, 1993 (in Russian)
      6. and others
  8. Physics and Biology
    1. System Theory of Time
      1. Burgin, M. Elements of the System Theory of Time, LANL, Preprint in Physics 0207055, 2002, 21 p. (electronic edition: http://arXiv.org)
      2. Burgin, M. Age of People and Aging Problem, in Proceedings of the 26th Annual Conference of Engineering in Medicine and Biology Society, IEEE EMBS, San Francisco, California, 2004, pp. 655-658 (Abstract: in Digest of the 26th Annual Conference of Engineering in Medicine and Biology Society, p. 196)
      3. Burgin, M. Time as a Factor of Science Development, Science and Science of Science, 1997, No. 1-2, pp. 45-59
      4. Burgin, M.S. System Approach to the Concept of Time, Philosophical and Sociological Thought, 1992, No. 8, pp. 160-163
      5. Burgin, M., Liu, D. and Karplus, W. The Problem of Time Scales in Computer Visualization, in Computational Science, Lecture Notes in Computer Science, v. 2074, part II, 2001, pp.728-737
      6. and others

 

Mark Burgin also has many publications in:

Theology

Mark  Burgin has done research, the results of which have been presented in publications from the following fields:

Mathematics:

  • Algebra (Groups, Rings, Linear Algebras, Universal Algebra, Semigroups, Linear W-Algebras, Topological Algebra, Homological Algebra),
  • Functional Analysis (Theory of Extrafunctions, Theory of Hyperdistributions, Hypernormed Vector Spaces, Semitopological Vector Spaces, Hyperintegration, Hyperdifferentiation,),
  • Topology (General Topology, Topological Algebra, Scalable Topology, Fixed points),
  • Arithmetic,
  • Theory of Hypernumbers,
  • Calculus and Hypercalculus (Neoclassical Analysis, Calculus of Extrafunctions),
  • Theory of Hyperoperators and Hyperfunctionals,
  • Measure Theory,
  • Integration,
  • Differential Equations,
  • Dynamical Systems,
  • Foundations of Mathematics,
  • Theory of Categories,
  • General Theory of Structures,
  • Mathematical Schema Theory,
  • Theory of Properties,
  • Theory of Named Sets (including Axiomatic Named Set Theory, Named Numbers, Cardinal Multinumbers, Multicardinal Numbers, Named Set Chains),
  • Optimization,
  • Mathematical Linguistics,
  • Game Theory,
  • Mathematical Logic (Logical Varieties, Metalogic),
  • Probability Theory (Negative Probability, Hyperprobability, Hyperexpectation, Inflated Probability, Extended Correlations),
  • Fuzzy Set Theory,
  • Theory of Relations

Computer Science:

  •  Theory of Algorithms, Automata and Computation (including Axiomatic Theory of Algorithms, Superrecursive Algorithms, Inductive Algorithms and Computations, Evolutionary Machines and Automata, Computability, Higher Order Algorithms, Grid Automata, Interactive Computations, Topological Algorithms, Periodic Algorithms and Computations, Cellular Automata, Concurrent Computations, Structural Machines),
  • Complexity (Kolmogorov/Algorithmic Complexity, Inductive Algorithmic Complexity, Axiomatic Complexity, Problem Complexity, Complexity of Mathematical Problems, Parallel Complexity),
  • Software Metrics,
  • Programming Languages,
  • Software Correctness,
  • Evolutionary Computations,
  • Concurrent Computations and Distributed Systems,
  • Software Testing and Verification,
  • Computer Modeling and Simulation,
  • Computational Schema Theory,
  • Foundations of Computer Science,
  • Software Engineering,
  • Software Architecture,
  • Databases,
  • Networks

Artificial Intelligence:

  • Knowledge Representation,
  • Knowledge Acquisition and Data Mining,
  • Data Representation,
  • Knowledge Dynamics,
  • Representational Schema Theory,
  • Non-Monotonic Reasoning,
  • Inconsistent Knowledge Systems,
  • Expert Systems,
  • Cognitive Systems,
  • Knowledge Integration,
  • Quantum Theory of Knowledge,
  • Global Theory of Knowledge,
  • Concept Theory,
  • Theory of Oracles,
  • Theory of Actors and Agents,
  • Theory of Superintelligence

Information Sciences:

  • Algorithmic Information Theory,
  • Evolutionary Information Theory,
  • Semiotics,
  • General Theory of Information (including Information Ontology, Information Axiology, Operator Theory of Information, Categorical Theory of Information, Information Dynamics),
  • Mathematical Theory of Information Technology,
  • Mathematical Theory of Oracles,
  • Information Measurement,
  • Information Representation,
  • Information Integration,
  • Information Ecology

Philosophy and Methodology:

  • Epistemology,
  • Philosophy of Religion,
  • Philosophy of Science,
  • Philosophy of Mathematics,
  • Philosophy of Computer Science,
  • Ontology,
  • Philosophical Logic,
  • Philosophy of Information,
  • Philosophy of Education,
  • Philosophy of Judaism,
  • Philosophy of Buddhism,
  • Structural Realism,
  • Methodology of Science,
  • Methodology of Mathematics,
  • Methodology of Information Studies,
  • Methodology of Education

Other fields:

  • Cognitive Sciences,
  • Physics,
  • Biology,
  • Linguistics and Semiotics,
  • Education,
  • General Schema Theory,
  • Theory of Technology,
  • Mathematical Finance,
  • General Ecology,
  • Mathematical Political Sciences,
  • Science of Science,
  • Mathematical Social Sciences,
  • Psychology (Theory of Personality, Creativity, Intellectual Activity),
  • Ecology,
  • Pedagogical Sciences,
  • Logic and Foundations,
  • General Systems Theory

Additional Biographic Information available:

  • WHO’S WHO IN THE WORLD     (1999, 16th edition; 1992/1993, 11th edition)
  • Outstanding People of the 20th Century   (1999, 1st edition)
  • Outstanding Scholars of the 20th Century   (2000, 1st edition)
  • Who’s Who in Science and Engineering  (2008/2009, 10th edition; 2006/2007, 9th edition)
  • Who’s Who in America
  • (2014, 68th edition; 2013, 67th edition; 2004, 58th edition; 2003, 57th edition; 2002, 56th edition; 2001, 55th edition)
  • Men of Achievement  (1996, 16th edition)
  • Leading Educators of the World   (2008)
  • Dictionary of International Biography   (2000, 28th edition; 1995, 23rd edition)
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