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Volumn 69, Issue , 2003, Pages 272-286

Joyal's arithmetic universes via type theory

Author keywords

Categorical logic; Dependent type theory; Pretopoi

Indexed keywords

COMPUTATIONAL METHODS; FORMAL LANGUAGES; LOGIC DESIGN; SET THEORY; SYNTACTICS; THEOREM PROVING;

EID: 14544299642     PISSN: 15710661     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1571-0661(04)80569-3     Document Type: Conference Paper
Times cited : (8)

References (23)
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    • Benabou, J.1
  • 5
    • 0026138967 scopus 로고
    • Telescopic mapping in typed lambda calculus
    • de Bruijn N.G. Telescopic mapping in typed lambda calculus. Information and Computation. 91:1991;189-204
    • (1991) Information and Computation , vol.91 , pp. 189-204
    • De Bruijn, N.G.1
  • 6
    • 0347684468 scopus 로고
    • On the interpretation of type theory in locally cartesian closed categories
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    • M. Hofmann. On the interpretation of type theory in locally cartesian closed categories. In Proceedings of CSL'94, September 1994.
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    • Hofmann, M.1
  • 8
    • 0003369528 scopus 로고
    • Algebraic set theory
    • Cambridge University Press
    • A. Joyal and I. Moerdijk. Algebraic set theory, volume 220 of Lecture Note Series. Cambridge University Press, 1995.
    • (1995) Lecture Note Series , vol.220
    • Joyal, A.1    Moerdijk, I.2
  • 12
    • 18944377085 scopus 로고    scopus 로고
    • The typed calculus of arithmetic universes
    • University of Birmingham, CSR-99-14, December
    • M.E. Maietti. The typed calculus of arithmetic universes. Technical report, University of Birmingham, CSR-99-14, December 1999.
    • (1999) Technical Report
    • Maietti, M.E.1
  • 14
    • 18944403686 scopus 로고    scopus 로고
    • Theories generated by finite lex decidable sketches in an arithmetic universe
    • University of Padova December
    • M.E. Maietti. Theories generated by finite lex decidable sketches in an arithmetic universe. Technical report, University of Padova, n.9, December 2000.
    • (2000) Technical Report , vol.9
    • Maietti, M.E.1
  • 15
    • 14544269449 scopus 로고    scopus 로고
    • Modular correspondence between dependent type theories and categorical universes
    • M.E. Maietti. Modular correspondence between dependent type theories and categorical universes. Mittag-Leffler Preprint Series, 44, 2001.
    • (2001) Mittag-Leffler Preprint Series , vol.44
    • Maietti, M.E.1
  • 18
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    • Master's thesis, University of London - Imperial College of Science, Technology and Medicine, Advisor: S. Vickers, September
    • A. Morrison. Reasoning in arithmetic universes. Master's thesis, University of London - Imperial College of Science, Technology and Medicine, Advisor: S. Vickers, September 1996.
    • (1996) Reasoning in Arithmetic Universes
    • Morrison, A.1
  • 19
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    • First order categorical logic
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    • M. Makkai and G. Reyes. First order categorical logic., volume 611 of Lecture Notes in Mathematics. Springer Verlag, 1977.
    • (1977) Lecture Notes in Mathematics , vol.611
    • Makkai, M.1    Reyes, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.