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Volumn 120, Issue 1-3, 2003, Pages 197-223

Ordinal notations and well-orderings in bounded arithmetic

Author keywords

Bounded arithmetic; Fragments of peano arithmetic; Ordinal notations; Polynomial local search; Well foundedness

Indexed keywords


EID: 0037445576     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(02)00066-0     Document Type: Article
Times cited : (8)

References (14)
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    • (1996)
    • Beckmann, A.1
  • 2
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    • Notations for exponentiation
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    • A. Beckmann, Notations for exponentiation, 1999, submitted for publication.
    • (1999)
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  • 3
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    • S.R. Buss, Bounded arithmetic, bibliopolis, 1986. Revision of 1985 Princeton University Ph.D. Thesis.
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  • 4
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    • Axiomatizations and conservation results for fragments of bounded arithmetic
    • Proc. of a Workshop held Carnegie-Mellon University, 1987, Contemporary Mathematics, American Mathematical Society, Providence, RI
    • S.R. Buss, Axiomatizations and conservation results for fragments of bounded arithmetic, in: Logic and Computation, Proc. of a Workshop held Carnegie-Mellon University, 1987, Contemporary Mathematics, vol. 106, American Mathematical Society, Providence, RI, 1990, pp. 57-84.
    • (1990) Logic and Computation , vol.106 , pp. 57-84
    • Buss, S.R.1
  • 5
    • 84962999048 scopus 로고
    • An application of Boolean complexity to separation problems in bounded arithmetic
    • S.R. Buss, J. Krajíček, An application of Boolean complexity to separation problems in bounded arithmetic, Proc. London Math. Soc. 69 (1994) 1-21.
    • (1994) Proc. London Math. Soc , vol.69 , pp. 1-21
    • Buss, S.R.1    Krajíček, J.2
  • 6
    • 0003125686 scopus 로고
    • Systems of predicative analysis I
    • S. Feferman, Systems of predicative analysis I, J. Symbolic Logic 29 (1964) 1-30.
    • (1964) J. Symbolic Logic , vol.29 , pp. 1-30
    • Feferman, S.1
  • 7
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    • Systems of predicative analysis II: Representations of ordinals
    • S. Feferman, Systems of predicative analysis II: Representations of ordinals, J. Symbolic Logic 33 (1968) 193-220.
    • (1968) J. Symbolic Logic , vol.33 , pp. 193-220
    • Feferman, S.1
  • 11
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    • Proof Theory: An Introduction
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    • (1989) Lecture Notes in Mathematics
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  • 12
    • 0003774220 scopus 로고
    • Proof Theory, Grundlehren der mathematischen Wissenschaften
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  • 13
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    • Transfinite induction and hierarchies generated by transfinite recursion within Peano arithmetic
    • Ph.D. Thesis, U.C. Berkeley
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  • 14
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    • 0
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    • 0, in: P. Clote, J. Krajíček (Eds.), Arithmetic, Proof Theory and Computational Complexity, Oxford University (Clarendon) Press, Oxford, 1993, pp.
    • (1993) Arithmetic, Proof Theory and Computational Complexity , pp. 320-363
    • Sommer, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.