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Volumn 5028 LNCS, Issue , 2008, Pages 251-260

Hybrid functional interpretations

Author keywords

Dialectica interpretation; Functional interpretations; Linear logic; Modified realizability; Program extraction from proofs; Uniform quantifiers

Indexed keywords

(E ,2E) THEORY; FUNCTIONAL INTERPRETATIONS; HEIDELBERG (CO); LINEAR LOGIC (LL); MULTI-MODAL; REALIZABILITY; SPRINGER (CO);

EID: 45849101725     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-69407-6_29     Document Type: Conference Paper
Times cited : (13)

References (15)
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    • Oliva, P.: Unifying functional interpretations. Notre Dame Journal of Formal Logic 47(2), 263-290 (2006)
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    • Oliva, P.1
  • 2
    • 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
  • 3
    • 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
  • 6
    • 45849128567 scopus 로고    scopus 로고
    • An analysis of Gödel's Dialectica interpretation via linear logic
    • Oliva, P.: An analysis of Gödel's Dialectica interpretation via linear logic. Dialectica (2008), http://www.des.qmul.ac.uk/~pbo
    • (2008) Dialectica
    • Oliva, P.1
  • 7
    • 45849085255 scopus 로고    scopus 로고
    • Howard, W.A.: Hereditarily majorizable functionals of finite type. In: Troelstra, A.S. (ed.) WG 1988. Lecture Notes in Mathematics, 344, pp. 454-461. Springer, Berlin (1973)
    • Howard, W.A.: Hereditarily majorizable functionals of finite type. In: Troelstra, A.S. (ed.) WG 1988. Lecture Notes in Mathematics, vol. 344, pp. 454-461. Springer, Berlin (1973)
  • 8
    • 4243929736 scopus 로고    scopus 로고
    • Danos, V., Joinet, J.B., Schellinx, H.: The structure of exponentials: Uncovering the dynamics of linear logic proofs. In: Mundici, D., Gottlob, G., Leitsch. A. (eds.) KGC 1993. LNCS, 713, pp. 159-171. Springer, Heidelberg (1993)
    • Danos, V., Joinet, J.B., Schellinx, H.: The structure of exponentials: Uncovering the dynamics of linear logic proofs. In: Mundici, D., Gottlob, G., Leitsch. A. (eds.) KGC 1993. LNCS, vol. 713, pp. 159-171. Springer, Heidelberg (1993)
  • 11
    • 14744276178 scopus 로고    scopus 로고
    • Uniform Heyting Arithmetic
    • Berger, U.: Uniform Heyting Arithmetic. Annals Pure Applied Logic 133, 125-148 (2005)
    • (2005) Annals Pure Applied Logic , vol.133 , pp. 125-148
    • Berger, U.1
  • 12
    • 45849083006 scopus 로고    scopus 로고
    • Optimized programs from (non-constructive) proofs by the light (monotone) Dialectica interpretation. PhD Thesis, École Polytechnique and Universität München
    • Hernest, M.D.: Optimized programs from (non-constructive) proofs by the light (monotone) Dialectica interpretation. PhD Thesis, École Polytechnique and Universität München (2006), http://www.brics.dk/ ~danher/teza/
    • (2006)
    • Hernest, M.D.1
  • 13
    • 38149017741 scopus 로고    scopus 로고
    • Oliva, P.: Computational interpretations of classical linear logic. In: Leivant, D., de Queiroz, R. (eds.) WoLLIC 2007. LNCS, 4576, pp. 285-296. Springer, Heidelberg (2007)
    • Oliva, P.: Computational interpretations of classical linear logic. In: Leivant, D., de Queiroz, R. (eds.) WoLLIC 2007. LNCS, vol. 4576, pp. 285-296. Springer, Heidelberg (2007)
  • 15
    • 34249788130 scopus 로고    scopus 로고
    • Light Dialectica program extraction from a classical Fibonacci proof
    • Hernest, M.D.: Light Dialectica program extraction from a classical Fibonacci proof. Electronic Notes in Theoretical Computer Science 171(3), 43-53 (2007)
    • (2007) Electronic Notes in Theoretical Computer Science , vol.171 , Issue.3 , pp. 43-53
    • Hernest, M.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.