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Volumn 39, Issue 7, 2000, Pages 475-491

Characterizing the elementary recursive functions by a fragment of Gödel's T

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EID: 0034360168     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001530050160     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 0030300519 scopus 로고    scopus 로고
    • A term rewriting characterization of the polytime functions and related complexity classes
    • Beckmann, A., Weiermann, A.: A term rewriting characterization of the polytime functions and related complexity classes. Archive for Mathematical Logic 36(1996), 11-30.
    • (1996) Archive for Mathematical Logic , vol.36 , pp. 11-30
    • Beckmann, A.1    Weiermann, A.2
  • 4
    • 0002602593 scopus 로고
    • A new recursion-theoretic characterization of the polytime functions
    • Bellantoni, S. and Cook, S.: A new recursion-theoretic characterization of the polytime functions. Comput. Complexity 2, No. 2 (1992), 97-110.
    • (1992) Comput. Complexity , vol.2 , Issue.2 , pp. 97-110
    • Bellantoni, S.1    Cook, S.2
  • 5
    • 0031566883 scopus 로고    scopus 로고
    • Term rewriting theory for the primitive recursive functions
    • Cichon, E.A. and Weiermann, A.: Term rewriting theory for the primitive recursive functions. Annals of Pure and Applied Logic 83 (1997), 199-223.
    • (1997) Annals of Pure and Applied Logic , vol.83 , pp. 199-223
    • Cichon, E.A.1    Weiermann, A.2
  • 6
    • 84974773048 scopus 로고
    • Termination proofs by multiset path orderings imply primitive recursive derivation lengths
    • Hofbauer, D.: Termination proofs by multiset path orderings imply primitive recursive derivation lengths. Proc. 2nd ALP. Lecture Notes in Computer Science 463 (1990), 347-358.
    • (1990) Proc. 2nd ALP. Lecture Notes in Computer Science , vol.463 , pp. 347-358
    • Hofbauer, D.1
  • 7
    • 77956975364 scopus 로고
    • Assignment of ordinals to terms for primitive recursive functionals of finite type
    • North-Holland, Amsterdam
    • W. Howard: Assignment of ordinals to terms for primitive recursive functionals of finite type. Intuitionism and Proof Theory. North-Holland, Amsterdam 1970, 443-458.
    • (1970) Intuitionism and Proof Theory , pp. 443-458
    • Howard, W.1
  • 8
    • 0001735710 scopus 로고
    • Predicative recurrence in finite type
    • A. Nerode and Y.V. Matiyasevich (eds.), Logical Foundations of Computer Science
    • D. Leivant: Predicative recurrence in finite type. In A. Nerode and Y.V. Matiyasevich (eds.), Logical Foundations of Computer Science. Springer Lecture Notes in Computer Science 813 (1994), 227-239.
    • (1994) Springer Lecture Notes in Computer Science , vol.813 , pp. 227-239
    • Leivant, D.1
  • 9
    • 0040352220 scopus 로고
    • Ramified recurrence and computational complexity I: Word recurrence and poly-time
    • Feasible Mathematics II, P. Clote and J. Remmel (eds.), Birkhäuser
    • D. Leivant: Ramified recurrence and computational complexity I: Word recurrence and poly-time. Feasible Mathematics II, P. Clote and J. Remmel (eds.), Perspectives in Computer Science. Birkhäuser (1995).
    • (1995) Perspectives in Computer Science
    • Leivant, D.1
  • 12
    • 0000726546 scopus 로고
    • The realm of primitive recursion
    • Simmons, H.: The realm of primitive recursion. Arch. Math. Logic 27 (1988), 177-188.
    • (1988) Arch. Math. Logic , vol.27 , pp. 177-188
    • Simmons, H.1
  • 14
    • 0029637528 scopus 로고
    • Termination proofs for term rewriting systems by lexicographic path orderings yield multiply recursive derivation lengths
    • Weiermann, A.: Termination proofs for term rewriting systems by lexicographic path orderings yield multiply recursive derivation lengths. Theoretical Computer Science 139 (1995), 355-362.
    • (1995) Theoretical Computer Science , vol.139 , pp. 355-362
    • Weiermann, A.1
  • 15
    • 85033871848 scopus 로고
    • Rewriting theory for the Hydra battle and the extended Grzegorczyk hierarchy
    • Preprint, Nancy and Münster to appear
    • Weiermann, A.: Rewriting theory for the Hydra battle and the extended Grzegorczyk hierarchy, Preprint, Nancy and Münster (1995) The Journal of Symbolic Logic (to appear).
    • (1995) The Journal of Symbolic Logic
    • Weiermann, A.1
  • 16
    • 0031285724 scopus 로고    scopus 로고
    • A proof of strongly uniform termination for Gödel's T by methods from local predicativity
    • Weiermann, A.: A proof of strongly uniform termination for Gödel's T by methods from local predicativity. Archive for Mathematical Logic 36 (1997), 445-460.
    • (1997) Archive for Mathematical Logic , vol.36 , pp. 445-460
    • Weiermann, A.1
  • 17
    • 0040350318 scopus 로고    scopus 로고
    • How is it that infinitary methods can be applied to finitary mathematics. Gödel's T: A case study
    • Weiermann, A.: How is it that infinitary methods can be applied to finitary mathematics. Gödel's T: a case study. The Journal of Symbolic Logic 63, Number 4, (1998), 1348-1370.
    • (1998) The Journal of Symbolic Logic , vol.63 , Issue.4 , pp. 1348-1370
    • Weiermann, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.