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Volumn 27, Issue 6, 1998, Pages 569-586

On interpreting Chaitin's incompleteness theorem

Author keywords

Algorithmic information theory; Incompleteness; Kolmogorov complexity

Indexed keywords


EID: 54649084125     PISSN: 00223611     EISSN: 15730433     Source Type: Journal    
DOI: 10.1023/A:1004305315546     Document Type: Article
Times cited : (29)

References (21)
  • 3
    • 0015951849 scopus 로고
    • Information-theoretic computational complexity
    • Chaitin, G. J. (1974a). Information-theoretic computational complexity, IEEE Transactions on Information Theory IT-20, 10-15.
    • (1974) IEEE Transactions on Information Theory , vol.IT-20 , pp. 10-15
    • Chaitin, G.J.1
  • 4
    • 0016082450 scopus 로고
    • Information-theoretic limitations of formal systems
    • Chaitin, G. J. (1974b). Information-theoretic limitations of formal systems, J. of the ACM 21, 403-424.
    • (1974) J. of the ACM , vol.21 , pp. 403-424
    • Chaitin, G.J.1
  • 5
    • 0002034420 scopus 로고
    • Randomness and mathematical proof
    • Chaitin, G. J. (1975). Randomness and mathematical proof, Scientific American 232(5), 47-52.
    • (1975) Scientific American , vol.232 , Issue.5 , pp. 47-52
    • Chaitin, G.J.1
  • 7
    • 0012269676 scopus 로고
    • Gödel's theorem and information
    • Chaitin, G. J. (1982). Gödel's theorem and information, Internat. J. Theoret. Phys. 22, 941-954.
    • (1982) Internat. J. Theoret. Phys. , vol.22 , pp. 941-954
    • Chaitin, G.J.1
  • 8
    • 19144371042 scopus 로고
    • What is a computation?
    • (L. A. Stern, ed.), Springer-Verlag, Berlin
    • Davis, M. (1978). What is a computation?, in Mathematics Today (L. A. Stern, ed.), Springer-Verlag, Berlin, 241-267.
    • (1978) Mathematics Today , pp. 241-267
    • Davis, M.1
  • 9
    • 33748205856 scopus 로고
    • Chaitin's equation: An extension of Gödel's theorem
    • Delahaye, J.-P (1989). Chaitin's equation: an extension of Gödel's theorem, Notices of the A.M.S. 36(8), 984-7.
    • (1989) Notices of the A.M.S. , vol.36 , Issue.8 , pp. 984-987
    • Delahaye, J.-P.1
  • 10
    • 0000236696 scopus 로고
    • On notations for ordinal numbers
    • Kleene, S. K. (1938). On notations for ordinal numbers, J. Symbolic Logic 3, 150-155.
    • (1938) J. Symbolic Logic , vol.3 , pp. 150-155
    • Kleene, S.K.1
  • 11
    • 0002239257 scopus 로고
    • Reflection principles and their uses for establishing the complexity of axiomatic systems
    • Kreisel, G. and Levy, A. (1968). Reflection principles and their uses for establishing the complexity of axiomatic systems, Z. Math. Logik Grundlag. Math. 14, 97-142.
    • (1968) Z. Math. Logik Grundlag. Math. , vol.14 , pp. 97-142
    • Kreisel, G.1    Levy, A.2
  • 12
    • 0000528936 scopus 로고
    • Algorithmic information theory
    • van Lambalgen, M. (1989). Algorithmic information theory, J. Symbolic Logic 54, 1389-1400.
    • (1989) J. Symbolic Logic , vol.54 , pp. 1389-1400
    • Van Lambalgen, M.1
  • 15
    • 0000214671 scopus 로고
    • Gödel numbering of partial recursive functions
    • Rogers, H. (1958). Gödel numbering of partial recursive functions, J. Symbolic Logic 23, 331-341.
    • (1958) J. Symbolic Logic , vol.23 , pp. 331-341
    • Rogers, H.1
  • 17
    • 0004288587 scopus 로고
    • Houghton Mifflin, Boston
    • Rucker, R. (1987). Mind Tools, Houghton Mifflin, Boston.
    • (1987) Mind Tools
    • Rucker, R.1
  • 18
    • 0003933104 scopus 로고
    • Princeton University Press, Princeton
    • Ruelle, D. (1991). Chance and Chaos, Princeton University Press, Princeton.
    • (1991) Chance and Chaos
    • Ruelle, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.