메뉴 건너뛰기




Volumn 104, Issue 1-3, 2000, Pages 17-30

Higher type recursion, ramification and polynomial time

Author keywords

Higher type recursion; Lambda calculus; Normalisation; Polynomial time; Ramified recursion

Indexed keywords


EID: 0013030652     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(00)00006-3     Document Type: Article
Times cited : (56)

References (18)
  • 1
    • 0002844638 scopus 로고
    • Characterizing parallel polylog time using type 2 recursions with polynomial output length
    • D. Leivant (Ed.)
    • S.J. Bellantoni, Characterizing parallel polylog time using type 2 recursions with polynomial output length, in: D. Leivant (Ed.), Logic and Computational Complexity, Springer Lecture Notes in Computer Science, Vol. 960, 1995, pp. 253-268.
    • (1995) Logic and Computational Complexity, Springer Lecture Notes in Computer Science , vol.960 , pp. 253-268
    • Bellantoni, S.J.1
  • 2
    • 0002602593 scopus 로고
    • A new recursion-theoretic characterization of the polytime functions
    • S.J. Bellantoni, S. Cook, A new recursion-theoretic characterization of the polytime functions, Comput. Complexity 2 (1992) 97-110.
    • (1992) Comput. Complexity , vol.2 , pp. 97-110
    • Bellantoni, S.J.1    Cook, S.2
  • 3
    • 0033301161 scopus 로고    scopus 로고
    • Ranking primitive recursions: The low Grzegorczyk classes revisited
    • S.J. Bellantoni, K.-H. Niggl, Ranking primitive recursions: The low Grzegorczyk classes revisited, SIAM J. Comput. 29 (2000) 401-415.
    • (2000) SIAM J. Comput. , vol.29 , pp. 401-415
    • Bellantoni, S.J.1    Niggl, K.-H.2
  • 4
    • 0013540977 scopus 로고
    • Characterizations of the basic feasible functionals of finite type
    • S. Buss, P. Scott (Eds.), Birkhäuser, Boston
    • S.A. Cook, B.M. Kapron, Characterizations of the basic feasible functionals of finite type, in: S. Buss, P. Scott (Eds.), Feasible Mathematics, Birkhäuser, Boston, 1990, pp. 71-98.
    • (1990) Feasible Mathematics , pp. 71-98
    • Cook, S.A.1    Kapron, B.M.2
  • 6
    • 0000130547 scopus 로고    scopus 로고
    • Light linear logic
    • J.Y. Girard, Light linear logic, Inform, and Comput. 143 (1998) 175-204.
    • (1998) Inform, and Comput. , vol.143 , pp. 175-204
    • Girard, J.Y.1
  • 7
    • 84977256167 scopus 로고
    • Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes
    • K. Gödel, Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes, Dialectica 12 (1958) 280-287.
    • (1958) Dialectica , vol.12 , pp. 280-287
    • Gödel, K.1
  • 8
    • 34250955001 scopus 로고
    • Über das Unendliche
    • D. Hilbert, Über das Unendliche, Math. Ann. 95 (1925) 161-190.
    • (1925) Math. Ann. , vol.95 , pp. 161-190
    • Hilbert, D.1
  • 9
    • 84957704802 scopus 로고    scopus 로고
    • A mixed modal/linear lambda calculus with applications to Bellantoni-Cook safe recursion
    • M. Hofmann, A mixed modal/linear lambda calculus with applications to Bellantoni-Cook safe recursion, Proc. CSL '97, Aarhus, Springer Lecture Notes in Computer Science, Vol. 1414 (1998) 275-294.
    • (1998) Proc. CSL '97, Aarhus, Springer Lecture Notes in Computer Science , vol.1414 , pp. 275-294
    • Hofmann, M.1
  • 12
    • 0001784235 scopus 로고
    • Subrecursion and lambda representation over free algebras
    • S. Buss, P. Scott (Eds.), Birkhäuser-Boston, New York
    • D. Leivant, Subrecursion and lambda representation over free algebras, in: S. Buss, P. Scott (Eds.), Feasible Mathematics, Perspectives in Computer Science, Birkhäuser-Boston, New York, 1990, pp. 281-291.
    • (1990) Feasible Mathematics, Perspectives in Computer Science , pp. 281-291
    • Leivant, D.1
  • 14
    • 0002256249 scopus 로고
    • Ramified recurrence and computational complexity I: Word recurrence and poly-time
    • P. Clote, J. Remmel (Eds.), Feasible Mathematics II, Birkhäuser, Boston
    • D. Leivant, Ramified recurrence and computational complexity I: Word recurrence and poly-time, in: P. Clote, J. Remmel (Eds.), Feasible Mathematics II, Perspectives in Computer Science, Birkhäuser, Boston, 1994, pp. 320-343.
    • (1994) Perspectives in Computer Science , pp. 320-343
    • Leivant, D.1
  • 15
    • 0346091998 scopus 로고    scopus 로고
    • Ramified recurrence and computational complexity IV: Predicative functionals and poly-space
    • to appear
    • D. Leivant, J.-Y. Marion, Ramified recurrence and computational complexity IV: Predicative functionals and poly-space, Inform, and Comput., to appear.
    • Inform, and Comput.
    • Leivant, D.1    Marion, J.-Y.2
  • 16
    • 0009320778 scopus 로고    scopus 로고
    • The μ-measure as a tool for classifying computational complexity
    • to appear
    • K.-H. Niggl, The μ-measure as a tool for classifying computational complexity, Arch. Math. Logic (1999) to appear.
    • (1999) Arch. Math. Logic
    • Niggl, K.-H.1
  • 17
    • 0000726546 scopus 로고
    • The realm of primitive recursion
    • H. Simmons, The realm of primitive recursion, Arch. Math. Logic 27 (1988) 177-188.
    • (1988) Arch. Math. Logic , vol.27 , pp. 177-188
    • Simmons, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.