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Volumn 4576 LNCS, Issue , 2007, Pages 285-296

Computational interpretations of classical linear logic

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; GAME THEORY;

EID: 38149017741     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73445-1_20     Document Type: Conference Paper
Times cited : (12)

References (21)
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    • Avigad, J., Feferman, S.: Gödel's functional (Dialectica ) interpretation. In: Avigad, J., Feferman, S. (eds.) Handbook of proof theory. Studies in Logic and the Foundations of Mathematics, 137, pp. 337-405. North Holland, Amsterdam (1998)
    • Avigad, J., Feferman, S.: Gödel's functional ("Dialectica" ) interpretation. In: Avigad, J., Feferman, S. (eds.) Handbook of proof theory. Studies in Logic and the Foundations of Mathematics, vol. 137, pp. 337-405. North Holland, Amsterdam (1998)
  • 2
    • 0000894315 scopus 로고
    • Strongly majorizable functionals of finite type: A model for bar recursion containing discontinuous functionals
    • Bezem, M.: Strongly majorizable functionals of finite type: a model for bar recursion containing discontinuous functionals. The Journal of Symbolic Logic 50, 652-660 (1985)
    • (1985) The Journal of Symbolic Logic , vol.50 , pp. 652-660
    • Bezem, M.1
  • 3
    • 0009167875 scopus 로고
    • Questions and answers - a category arising in linear logic, complexity theory, and set theory
    • Girard, J.-Y, Lafont, Y, Regnier, L, eds, Advances in Linear Logic. London Math. Soc
    • Blass, A.: Questions and answers - a category arising in linear logic, complexity theory, and set theory. In: Girard, J.-Y., Lafont, Y., Regnier, L. (eds.) Advances in Linear Logic. London Math. Soc. Lecture Notes, vol. 222, pp. 61-81 (1995)
    • (1995) Lecture Notes , vol.222 , pp. 61-81
    • Blass, A.1
  • 6
    • 0002870034 scopus 로고    scopus 로고
    • Diller, J., Nahm, W.: Eine Variant zur Dialectica-interpretation der Heyting Arithmetik endlicher Typen. Arch. Math. Logik Grundlagenforsch 16, 49-66 (1974)
    • Diller, J., Nahm, W.: Eine Variant zur Dialectica-interpretation der Heyting Arithmetik endlicher Typen. Arch. Math. Logik Grundlagenforsch 16, 49-66 (1974)
  • 8
    • 33845241473 scopus 로고    scopus 로고
    • Bounded functional interpretation in feasible analysis
    • Ferreira, F., Oliva, P.: Bounded functional interpretation in feasible analysis. Annals of Pure and Applied Logic 145, 115-129 (2007)
    • (2007) Annals of Pure and Applied Logic , vol.145 , pp. 115-129
    • Ferreira, F.1    Oliva, P.2
  • 11
    • 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
  • 12
    • 0010744182 scopus 로고
    • Some remarks on infinitely long formulas
    • Pergamon Press, New York, and Polish Scientific Publishers, Warsaw
    • Henkin, L.: Some remarks on infinitely long formulas. In: Infinitistic methods, pp. 167-183. Pergamon Press, New York, and Polish Scientific Publishers, Warsaw (1961)
    • (1961) Infinitistic methods , pp. 167-183
    • Henkin, L.1
  • 14
    • 0001776862 scopus 로고
    • Interpretation of analysis by means of constructive functionals of finite types
    • Heyting, A, ed, North Holland, Amsterdam
    • Kreisel, G.: Interpretation of analysis by means of constructive functionals of finite types. In: Heyting, A. (ed.) Constructivity in Mathematics, pp. 101-128. North Holland, Amsterdam (1959)
    • (1959) Constructivity in Mathematics , pp. 101-128
    • Kreisel, G.1
  • 15
    • 33746042182 scopus 로고    scopus 로고
    • Unifying functional interpretations
    • Oliva, P.: Unifying functional interpretations. Notre Dame Journal of Formal Logic 47(2), 263-290 (2006)
    • (2006) Notre Dame Journal of Formal Logic , vol.47 , Issue.2 , pp. 263-290
    • Oliva, P.1
  • 17
    • 85012155655 scopus 로고
    • A Dialectica-like model of linear logic
    • Dybjer, P, Pitts, A.M, Pitt, D.H, Poigné, A, Rydeheard, D.E, eds, Category Theory and Computer Science, Springer, Heidelberg
    • de Paiva, V.C.V.: A Dialectica-like model of linear logic. In: Dybjer, P., Pitts, A.M., Pitt, D.H., Poigné, A., Rydeheard, D.E. (eds.) Category Theory and Computer Science. LNCS, vol. 389, pp. 341-356. Springer, Heidelberg (1989)
    • (1989) LNCS , vol.389 , pp. 341-356
    • de Paiva, V.C.V.1
  • 18
    • 33846486940 scopus 로고    scopus 로고
    • The Dialectica interpretation of first-order classical linear logic
    • Shirahata, M.: The Dialectica interpretation of first-order classical linear logic. Theory and Applications of Categories 17(4), 49-79 (2006)
    • (2006) Theory and Applications of Categories , vol.17 , Issue.4 , pp. 49-79
    • Shirahata, M.1
  • 19
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    • Stein, M.: Interpretationen der Heyting-Arithmetik endlicher Typen. Arch. Math. Logik Grundlag 19, 175-189 (1979)
    • Stein, M.: Interpretationen der Heyting-Arithmetik endlicher Typen. Arch. Math. Logik Grundlag 19, 175-189 (1979)
  • 20
    • 0003315261 scopus 로고
    • Metamathematical Investigation of Intuitionistic Arithmetic and Analysis
    • Springer, Heidelberg
    • Troelstra, A.S.: Metamathematical Investigation of Intuitionistic Arithmetic and Analysis. Lecture Notes in Mathematics, vol. 344. Springer, Heidelberg (1973)
    • (1973) Lecture Notes in Mathematics , vol.344
    • Troelstra, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.