메뉴 건너뛰기




Volumn 44, Issue 5, 2005, Pages 633-644

Extracting Herbrand disjunctions by functional interpretation

Author keywords

Functional interpretation; Herbrand's theorem

Indexed keywords


EID: 21544481173     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00153-005-0275-1     Document Type: Article
Times cited : (20)

References (26)
  • 1
    • 0035636857 scopus 로고    scopus 로고
    • Exact bounds for lengths of reductions in typed λ-calculus
    • Beckmann, A.: Exact bounds for lengths of reductions in typed λ-calculus. J. Symbolic Logic 66, 1277-1285 (2001)
    • (2001) J. Symbolic Logic , vol.66 , pp. 1277-1285
    • Beckmann, A.1
  • 3
    • 0040588397 scopus 로고    scopus 로고
    • An introduction to proof theory
    • S.R. Buss (ed.), Elsevier Science B.V.
    • Buss, S.R.: An Introduction to Proof Theory. In: S.R. Buss (ed.), Handbook of Proof Theory, Elsevier Science B.V., 1998, pp. 2-78
    • (1998) Handbook of Proof Theory , pp. 2-78
    • Buss, S.R.1
  • 4
    • 0037089735 scopus 로고    scopus 로고
    • Logical problems of functional interpretations
    • Diller, J.: Logical problems of functional interpretations. Annals of Pure and Applied Logic 114, 27-42 (2002)
    • (2002) Annals of Pure and Applied Logic , vol.114 , pp. 27-42
    • Diller, J.1
  • 5
    • 0002870034 scopus 로고
    • Eine variante zur dialectica-interpretation der heyting-arithmetik endlicher typen
    • Diller, J., Nahm, W.: Eine Variante zur Dialectica-Interpretation der Heyting-Arithmetik Endlicher Typen. Arch. Math. Logik 16, 49-66 (1974)
    • (1974) Arch. Math. Logik , vol.16 , pp. 49-66
    • Diller, J.1    Nahm, W.2
  • 6
    • 18544370359 scopus 로고    scopus 로고
    • Improved complexity analysis of cut elimination and Herbrand's Theorem
    • Gerhardy, P.: Improved Complexity Analysis of Cut Elimination and Herbrand's Theorem. Master's thesis, Aarhus, 2003
    • (2003) Master's Thesis, Aarhus
    • Gerhardy, P.1
  • 7
    • 26944483792 scopus 로고    scopus 로고
    • Refined complexity analysis of cut elimination
    • M. Baaz, J. Makovsky, Proceedings of the 17th International Workshop CSL 2003, Springer-Verlag, Berlin
    • Gerhardy, P.: Refined Complexity Analysis of Cut Elimination. In: M. Baaz, J. Makovsky, Proceedings of the 17th International Workshop CSL 2003, Volume 2803 of LNCS, Springer-Verlag, Berlin, 2003, pp. 212-225
    • (2003) LNCS , vol.2803 , pp. 212-225
    • Gerhardy, P.1
  • 8
    • 84977256167 scopus 로고
    • Über eine bisher noch nicht benützte erweiterung des finiten standpunktes
    • Gödel, K.: Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes. Dialectica, 12, 280-287 (1958)
    • (1958) Dialectica , vol.12 , pp. 280-287
    • Gödel, K.1
  • 9
    • 21544465455 scopus 로고    scopus 로고
    • A comparison between two techniques of program extraction from classical proofs
    • M. Baaz, J. Makobsky, A. Voronkov (eds.), Kurt Gödel Society's Collegium Logicum, Springer-Verlag, Berlin
    • Hernest, M.-D.: A comparison between two techniques of program extraction from classical proofs. In: M. Baaz, J. Makobsky, A. Voronkov (eds.), LPAR 2002: Short Contributions and CSL 2003: Extended Posters, volume VIII Kurt Gödel Society's Collegium Logicum, Springer-Verlag, Berlin, 2004, pp. 99-102
    • (2004) LPAR 2002: Short Contributions and CSL 2003: Extended Posters , vol.8 , pp. 99-102
    • Hernest, M.-D.1
  • 11
    • 0035582457 scopus 로고    scopus 로고
    • A note on spector's quantifier-free rule of extensionality
    • Kohlenbach, U.: A note on Spector's quantifier-free rule of extensionality. Arch. Math. Logic 40, 89-92 (2001)
    • (2001) Arch. Math. Logic , vol.40 , pp. 89-92
    • Kohlenbach, U.1
  • 13
    • 77956968781 scopus 로고
    • 2-formulas
    • J. Stern (eds.), North-Holland Publishing Company
    • 2-formulas. In: J. Stern (eds.), Logic Colloquium '81, North-Holland Publishing Company, 1982, pp. 39-55
    • (1982) Logic Colloquium '81 , pp. 39-55
    • Kreisel, G.1
  • 14
    • 0009115836 scopus 로고
    • Herbrand-analysen zweier beweise des Satzes von Roth: Polynomiale anzahlsschranken
    • Luckhardt, H.: Herbrand-Analysen zweier Beweise des Satzes von Roth: Polynomiale Anzahlsschranken. J. Symbolic Logic 54, 234-263 (1989)
    • (1989) J. Symbolic Logic , vol.54 , pp. 234-263
    • Luckhardt, H.1
  • 15
    • 0011618761 scopus 로고
    • Lower bounds on the increase in complexity of deductions in cut elimination
    • Orevkov, V.P.: Lower bounds on the increase in complexity of deductions in cut elimination. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov 88, 137-162 (1979);
    • (1979) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov , vol.88 , pp. 137-162
    • Orevkov, V.P.1
  • 16
    • 21544449884 scopus 로고
    • English transl
    • English transl. J. Soviet Math. 20 (4), 1982
    • (1982) J. Soviet Math. , vol.20 , Issue.4
  • 17
    • 0009165507 scopus 로고
    • Complexity of proofs and their transformations in axiomatic theories
    • AMS Providence R.I.
    • Orevkov, V.P.: Complexity of Proofs and Their Transformations in Axiomatic Theories, volume 128 of Translations of Mathematical Monographs. AMS Providence R.I., 1993
    • (1993) Translations of Mathematical Monographs , vol.128
    • Orevkov, V.P.1
  • 18
    • 0002648050 scopus 로고    scopus 로고
    • The length of proofs
    • S.R. Buss (ed.), Elsevier Science B.V.
    • Pudlak, P.: The Length of Proofs. In: S.R. Buss (ed.), Handbook of Proof Theory, Elsevier Science B.V., 1998, pp. 548-637
    • (1998) Handbook of Proof Theory , pp. 548-637
    • Pudlak, P.1
  • 19
    • 79959193258 scopus 로고
    • Complexity of normalization in the pure typed lambda-calculus
    • A. Troelstra, D. van Dalen, North-Holland Publishing Company
    • Schwichtenberg, H.: Complexity of normalization in the pure typed lambda-calculus. In: A. Troelstra, D. van Dalen, The L.E.J. Brouwer Centenary Symposium, North-Holland Publishing Company, 1982, pp. 453-457
    • (1982) The L.E.J. Brouwer Centenary Symposium , pp. 453-457
    • Schwichtenberg, H.1
  • 20
    • 0002178134 scopus 로고
    • An upper bound for reduction sequences in the typed λ-calculus
    • Schwichtenberg, H.: An upper bound for reduction sequences in the typed λ-calculus. Arch. Math. Logic 30, 405-408 (1991)
    • (1991) Arch. Math. Logic , vol.30 , pp. 405-408
    • Schwichtenberg, H.1
  • 22
    • 0002657684 scopus 로고
    • Provably recursive functionals of analysis : A consistency proof of analysis by an extension of principles formulated in current intuitionistic mathematics
    • J. Dekker (ed.), AMS, Providence, R.I.
    • Spector, C.: Provably recursive functionals of analysis : a consistency proof of analysis by an extension of principles formulated in current intuitionistic mathematics. In: J. Dekker (ed.), Proceedings of Symposia in Pure Mathematics, Vol 5, AMS, Providence, R.I., 1962, pp. 1-27
    • (1962) Proceedings of Symposia in Pure Mathematics , vol.5 , pp. 1-27
    • Spector, C.1
  • 23
    • 84966205280 scopus 로고
    • Lower bounds on Herbrand's Theorem
    • Statman, R.: Lower Bounds on Herbrand's Theorem. Proc. Am. Math. Soc.75, 104-107 (1979)
    • (1979) Proc. Am. Math. Soc. , vol.75 , pp. 104-107
    • Statman, R.1
  • 24
    • 0003315261 scopus 로고
    • Metamathematical investigation of intuitionistic arithmetic and analysis
    • Springer-Verlag, Berlin
    • Troelstra, A.S. (ed.): Metamathematical investigation of intuitionistic arithmetic and analysis, volume 344 of Springer LNM. Springer-Verlag, Berlin, 1973
    • (1973) Springer LNM , vol.344
    • Troelstra, A.S.1
  • 25
    • 0026381783 scopus 로고
    • Cut elimination and automatic proof procedures
    • Zhang, W.: Cut elimination and automatic proof procedures. Theoretical Computer Science 91, 265-284 (1991)
    • (1991) Theoretical Computer Science , vol.91 , pp. 265-284
    • Zhang, W.1
  • 26
    • 0028447949 scopus 로고
    • Depth of proofs, depth of cut-formulas and complexity of cut formulas
    • Zhang, W.: Depth of proofs, depth of cut-formulas and complexity of cut formulas. Theoretical Computer Science 129, 193-206 (1994)
    • (1994) Theoretical Computer Science , vol.129 , pp. 193-206
    • Zhang, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.