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Volumn 329, Issue 1-3, 2004, Pages 159-176

A proof-theoretic characterization of the basic feasible functional

Author keywords

Applicative theories; Basic feasible functionals; Proof theory; Type two feasibility

Indexed keywords

CHARACTERIZATION; COMBINATORIAL MATHEMATICS; COMPUTER PROGRAMMING LANGUAGES; COMPUTER SCIENCE; FUNCTIONS; POLYNOMIALS;

EID: 10044224853     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2004.08.009     Document Type: Article
Times cited : (11)

References (32)
  • 3
    • 77956972461 scopus 로고
    • Proving programs and programming proofs
    • Barcan Marcus et al. (Eds.), North-Holland, Amsterdam
    • M.J. Beeson, Proving programs and programming proofs, in: Barcan Marcus et al. (Eds.), Logic, Methodology, and Philosophy of Science VII, North-Holland, Amsterdam, 1986, pp. 51-82.
    • (1986) Logic, Methodology, and Philosophy of Science VII , pp. 51-82
    • Beeson, M.J.1
  • 4
    • 0002602593 scopus 로고
    • A new recursion-theoretic characterization of the poly-time functions
    • S. Bellantoni, S. Cook, A new recursion-theoretic characterization of the poly-time functions, Comput. Complexity 2 (1992) 97-110.
    • (1992) Comput. Complexity , vol.2 , pp. 97-110
    • Bellantoni, S.1    Cook, S.2
  • 7
    • 10044296869 scopus 로고    scopus 로고
    • Choice and uniformity in weak applicative theories
    • Logic Colloquium 2001, to appear
    • A. Cantini, Choice and uniformity in weak applicative theories, in: Logic Colloquium 2001, ASL Lecture Notes in Logic, to appear.
    • ASL Lecture Notes in Logic
    • Cantini, A.1
  • 8
    • 0036488435 scopus 로고    scopus 로고
    • Polytime, combinatory logic and positive safe induction
    • A. Cantini, Polytime, combinatory logic and positive safe induction, Arch. Math. Logic 41 (2) (2002) 169-189.
    • (2002) Arch. Math. Logic , vol.41 , Issue.2 , pp. 169-189
    • Cantini, A.1
  • 9
    • 33846259502 scopus 로고    scopus 로고
    • Computation models and function algebras
    • E. Griffor (Ed.), Elsevier, Amsterdam
    • P. Clote, Computation models and function algebras, in: E. Griffor (Ed.), Handbook of Computability Theory, Elsevier, Amsterdam, 1999, pp. 589-681.
    • (1999) Handbook of Computability Theory , pp. 589-681
    • Clote, P.1
  • 10
    • 0013540977 scopus 로고
    • Characterizations of the basic feasible functionals of finite type
    • S.R. Buss, P.J. Scott (Eds.), Birkhäuser, Basel
    • S.A. Cook, B.M. Kapron, Characterizations of the basic feasible functionals of finite type, in: S.R. Buss, P.J. Scott (Eds.), Feasible Mathematics, Birkhäuser, Basel, 1990, pp. 71-95.
    • (1990) Feasible Mathematics , pp. 71-95
    • Cook, S.A.1    Kapron, B.M.2
  • 11
    • 0348094155 scopus 로고
    • Functional interpretations of feasibly constructive arithmetic
    • S.A. Cook, A. Urquhart, Functional interpretations of feasibly constructive arithmetic, Ann. Pure Appl. Logic 63 (2) (1993) 103-200.
    • (1993) Ann. Pure Appl. Logic , vol.63 , Issue.2 , pp. 103-200
    • Cook, S.A.1    Urquhart, A.2
  • 12
    • 0002293333 scopus 로고
    • A language and axioms for explicit mathematics
    • J. Crossley (Ed.), Algebra and Logic, Springer, Berlin
    • S. Feferman, A language and axioms for explicit mathematics, in: J. Crossley (Ed.), Algebra and Logic, Lecture Notes in Mathematics, Vol. 450, Springer, Berlin, 1975, pp. 87-139.
    • (1975) Lecture Notes in Mathematics , vol.450 , pp. 87-139
    • Feferman, S.1
  • 13
    • 0039013047 scopus 로고
    • Constructive theories of functions and classes
    • M. Boffa, D. van Dalen, K. McAloon (Eds.), North-Holland, Amsterdam
    • S. Feferman, Constructive theories of functions and classes, in: M. Boffa, D. van Dalen, K. McAloon (Eds.), Logic Colloquium '78, North-Holland, Amsterdam, 1979, pp. 159-224.
    • (1979) Logic Colloquium '78 , pp. 159-224
    • Feferman, S.1
  • 15
    • 0000003217 scopus 로고
    • Polynomial time computable arithmetic
    • W. Sieg (Ed.), Logic and Computation, 1987, Contemporary Mathematics, American Mathematical Society, Providence, RI
    • F. Ferreira, Polynomial time computable arithmetic, in: W. Sieg (Ed.), Logic and Computation, Proc. Workshop held at Carnegie Mellon University, 1987, Contemporary Mathematics, Vol. 106, American Mathematical Society, Providence, RI, 1990, pp. 137-156.
    • (1990) Proc. Workshop Held at Carnegie Mellon University , vol.106 , pp. 137-156
    • Ferreira, F.1
  • 18
    • 0003942281 scopus 로고    scopus 로고
    • Type systems for polynomial-time computation
    • Habilitation Thesis, Darmstadt, appeared as
    • M. Hofmann, Type systems for polynomial-time computation, Habilitation Thesis, Darmstadt, 1999, appeared as LFCS Technical Report ECS-LFCS-99-406.
    • (1999) LFCS Technical Report , vol.ECS-LFCS-99-406
    • Hofmann, M.1
  • 19
    • 0035630598 scopus 로고    scopus 로고
    • On characterizations of the basic feasible functionals, Part I
    • R. Irwin, B. Kapron, J. Royer, On characterizations of the basic feasible functionals, Part I, J. Functional Programming 11 (2001) 117-153.
    • (2001) J. Functional Programming , vol.11 , pp. 117-153
    • Irwin, R.1    Kapron, B.2    Royer, J.3
  • 20
    • 0029747865 scopus 로고    scopus 로고
    • A new characterization of type 2 feasibility
    • B. Kapron, S. Cook, A new characterization of type 2 feasibility, SIAM J. Comput. 25 (1996) 117-132.
    • (1996) SIAM J. Comput. , vol.25 , pp. 117-132
    • Kapron, B.1    Cook, S.2
  • 21
    • 43949150474 scopus 로고
    • A foundational delineation of poly-time
    • D. Leivant, A foundational delineation of poly-time, Inform. Comput. 110 (1994) 391-420.
    • (1994) Inform. Comput. , vol.110 , pp. 391-420
    • Leivant, D.1
  • 22
    • 0001735710 scopus 로고
    • Predicative recurrence in finite type
    • A. Nerode, Y. Matiyasevich (Eds.), Logical Foundations of Computer Science, Springer, Berlin
    • D. Leivant, Predicative recurrence in finite type, in: A. Nerode, Y. Matiyasevich (Eds.), Logical Foundations of Computer Science, Lecture Notes in Computer Science, Vol. 813, Springer, Berlin, 1994, pp. 227-239.
    • (1994) Lecture Notes in Computer Science , vol.813 , pp. 227-239
    • Leivant, D.1
  • 23
    • 0002256249 scopus 로고
    • Ramified recurrence and computational complexity I: Word recurrence and poly-time
    • P. Clote, J. Remmel (Eds.), Birkhäuser
    • D. Leivant, Ramified recurrence and computational complexity I: Word recurrence and poly-time, in: P. Clote, J. Remmel (Eds.), Feasible Mathematics II, Birkhäuser, 1994, pp. 320-343.
    • (1994) Feasible Mathematics II , pp. 320-343
    • Leivant, D.1
  • 24
    • 23044533230 scopus 로고    scopus 로고
    • Implicit computational complexity for higher type functionals
    • J. Bradfield (Ed.), CSL '02, Springer, Berlin
    • D. Leivant, Implicit computational complexity for higher type functionals (Extended abstract), in: J. Bradfield (Ed.), CSL '02, Lecture Notes in Computer Science, Vol. 2471, Springer, Berlin, 2002, pp. 367-381.
    • (2002) Lecture Notes in Computer Science , vol.2471 , pp. 367-381
    • Leivant, D.1
  • 25
    • 0016947343 scopus 로고
    • Polynomial and abstract subrecursive classes
    • K. Melhorn, Polynomial and abstract subrecursive classes, J. Comput. System Sci. 12 (1976) 147-178.
    • (1976) J. Comput. System Sci. , vol.12 , pp. 147-178
    • Melhorn, K.1
  • 26
    • 0042022363 scopus 로고    scopus 로고
    • On the computational complexity of type 2 functionals
    • Computer Science Logic '97, Springer, Berlin
    • E. Pezzoli, On the computational complexity of type 2 functionals, in: Computer Science Logic '97, Lecture Notes in Computer Science, Vol. 1414, Springer, Berlin, 1998, pp. 373-388.
    • (1998) Lecture Notes in Computer Science , vol.1414 , pp. 373-388
    • Pezzoli, E.1
  • 27
    • 0031165756 scopus 로고    scopus 로고
    • Semantics vs. syntax vs. computations: Machine models for type-2 polynomial-time bounded functionals
    • J. Royer, Semantics vs. syntax vs. computations: machine models for type-2 polynomial-time bounded functionals, J. Comput. System Sci. 54 (1997) 424-436.
    • (1997) J. Comput. System Sci. , vol.54 , pp. 424-436
    • Royer, J.1
  • 30
    • 0041693849 scopus 로고    scopus 로고
    • Theories with self-application and computational complexity
    • T. Strahm, Theories with self-application and computational complexity, Inform. Comput. 185 (2003) 263-297.
    • (2003) Inform. Comput. , vol.185 , pp. 263-297
    • Strahm, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.