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Propositions as [Types] (2001)  (Make Corrections)  (1 citation)
Steve Awodey, Andrej Bauer



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Abstract: Image factorizations in regular categories are stable under pullbacks, so they model a natural modal operator in dependent type theory. (Update)

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BibTeX entry:   (Update)

Awodey, Steve, & Bauer, Andrej. (2001). Propositions as [Types]. Tech. rept. IML-R--3400 /01--SE. Institut Mittag-Le#er, The Royal Swedish Academy of Sciences. http://citeseer.ist.psu.edu/article/awodey01propositions.html   More

@misc{ steve01propositions,
  author = "A. Steve and B. Andrej",
  title = "Propositions as [Types",
  text = "Awodey, Steve, & Bauer, Andrej. (2001). Propositions as [Types]. Tech.
    rept. IML-R--3400 /01--SE. Institut Mittag-Le#er, The Royal Swedish Academy
    of Sciences.",
  year = "2001",
  url = "citeseer.ist.psu.edu/article/awodey01propositions.html" }
Citations (may not include all citations):
369   Information and Computation (context) - Moggi, computation - 1991
233   The formulae-as-types notion of construction (context) - Howard - 1980
195   Department of Computer Science - Aczel, modality et al. - 2000
80   Handbook of Categorical Algebra (context) - Borceux - 1994
38   Categorical Logic and Type Theory (context) - Jacobs - 1999
33   Adjointness in foundations (context) - Lawvere - 1969
22   and proof irrelevance in modal type theory (context) - Pfenning, extensionality - 2001
19   Unpublished Manuscript (context) - Scott, category - 1996
13   the interpretation of type theory in locally cartesian close.. - Hofmann - 1995
9   Theoretical Computer Science (context) - Bauer, Birkedal et al.
7   Building up a toolbox for MartinL of's type theory: Subset .. (context) - Sambin, Valentini - 1995
5   An intuitionistic theory of types (context) - Martin-L - 1995
5   The Type Theory of Categorical Universes (context) - Maietti - 1998
4   Classifying toposes for rst-order theories (context) - Butz, Johnstone - 1998
4   Collection principles in dependent type theory - Aczel, Gambino - 2001
3   Axiomatization of a skolem function in intuitionistic logic - Mints
3   Signi cantly extended and revised version of a technical sum.. (context) - Davies, Pfenning et al. - 2000
3   A categorical version of the BHK-interpretation (context) - Palmgren - 2001
3   Notes by Giovanni Sambin of a series of lectures given in Pa.. (context) - Martin-L, Type - 1984
3   Axiom of choice and excluded middle in categorical logic - Awodey - 1995
3   The completeness of intuitionistic rst-order logic (context) - Tait

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