-
1
-
-
0039123239
-
Building up a toolbox for Martin-Löf's type theory: subset theory
-
Sambin, G. and Smith, J., Oxford U. P
-
Sambin, G. and Valentini, S. (1998). Building up a toolbox for Martin-Löf's type theory: subset theory. In: Twenty-five years of constructive type theory, Proceedings of a Congress held in Venice, October 1995 (ed. Sambin, G. and Smith, J.), pp. 221-244. Oxford U. P.
-
(1998)
Twenty-five years of constructive type theory, Proceedings of a Congress held in Venice, October 1995
, pp. 221-244
-
-
Sambin, G.1
Valentini, S.2
-
2
-
-
0041528400
-
Some p0oints in formal topology
-
Sambin, G. (2003). Some p0oints in formal topology. Theoretical Computer Science, 305(1-3), 347-408.
-
(2003)
Theoretical Computer Science
, vol.305
, Issue.1-3
, pp. 347-408
-
-
Sambin, G.1
-
3
-
-
0034258670
-
Basic logic: reflection, symmetry, visibility
-
Sambin, G., Battilotti, G., and Faggian, C. (2000). Basic logic: reflection, symmetry, visibility. J Symbolic Logic, 65(3), 979-1013.
-
(2000)
J Symbolic Logic
, vol.65
, Issue.3
, pp. 979-1013
-
-
Sambin, G.1
Battilotti, G.2
Faggian, C.3
-
4
-
-
0002909550
-
Intuitionistic formal spaces -a first communication
-
Sambin, G. (1987). Intuitionistic formal spaces -a first communication. Mathematical logic and its applications pp. 187-204.
-
(1987)
Mathematical logic and its applications
, pp. 187-204
-
-
Sambin, G.1
-
5
-
-
0347053887
-
The type theory of categorical universes
-
February, PhD thesis. University of Padova
-
Maietti, M. E. (1998, February). The type theory of categorical universes. PhD thesis. University of Padova.
-
(1998)
-
-
Maietti, M.E.1
-
6
-
-
79955056871
-
The basic picture
-
May, Preprint n. 08, Dipartimento di Matematica, Università di Padova
-
Sambin G. (with the collaboration of Gebellato, S. and Martin-Löf, P. and Capretta, V), (2003, May). The basic picture; Preprint n. 08, Dipartimento di Matematica, Università di Padova.
-
(2003)
-
-
Sambin, G.1
Martin-Löf, P.2
Capretta, V.3
-
8
-
-
0002818662
-
Schizophrenia in contemporary mathematics
-
M. Rosenblatt, of Contemporary Mathematics. Amer. Math. Soc
-
Bishop, E. (1985). Schizophrenia in contemporary mathematics. In: Errett Bishop: reflections on him and his research (San Diego, Calif., 1983). (ed. M. Rosenblatt). Volume. 39 of Contemporary Mathematics. Amer. Math. Soc. pp. 1-32.
-
(1985)
Errett Bishop: reflections on him and his research (San Diego, Calif., 1983)
, vol.39
, pp. 1-32
-
-
Bishop, E.1
-
12
-
-
0003923501
-
-
Cambridge University Press, Cambridge
-
Girard J.-Y. (with the collaboration of Lafont, Y and Taylor, P), (1989). Proofs and Types, Volume. 7 of Cambridge Tracts in Theoretical Computer Science. Cambridge University Press, Cambridge.
-
(1989)
Proofs and Types, Volume. 7 of Cambridge Tracts in Theoretical Computer Science
-
-
Girard, J.-Y.1
Lafont, Y.2
Taylor, P.3
-
14
-
-
0000597434
-
Constructive set theory
-
Myhill, J. 1975 Constructive set theory. J Symbolic Logic, 40, 347-383.
-
(1975)
J Symbolic Logic
, vol.40
, pp. 347-383
-
-
Myhill, J.1
-
15
-
-
0042305488
-
Notes on constructive set theory
-
Mittag-Leffler Technical Report, 2000/2001
-
Aczel, P. and Rathjen, M. Notes on constructive set theory. Mittag-Leffler Technical Report No.40, 2000/2001.
-
-
-
Aczel, P.1
Rathjen, M.2
-
18
-
-
0003729586
-
-
Clarendon Press, Oxford
-
Nordstrom, B., Peterson, K., and Smith, J. (1990). Programming in Martin Lösf'Type Theory. Clarendon Press, Oxford.
-
(1990)
Programming in Martin Lösf'Type Theory
-
-
Nordstrom, B.1
Peterson, K.2
Smith, J.3
-
19
-
-
4243785347
-
An intuitionistic theory of types
-
Sambin G. and Smith, J., Oxford Science Publications
-
Martin-Löf, P. (1998). An intuitionistic theory of types. In: Twenty five years of Constructive Type Theory (ed. Sambin G. and Smith, J.), pp. 127-172. Oxford Science Publications.
-
(1998)
Twenty five years of Constructive Type Theory
, pp. 127-172
-
-
Martin-Löf, P.1
-
21
-
-
3242882518
-
-
Volume. 43, of Oxford Logic Guides. The Clarendon Press, Oxford University Press, New York
-
Johnstone, P. T. (2002a). Sketc hes of an elephant: a topos theory compendium. Vol. 1. Volume. 43, of Oxford Logic Guides. The Clarendon Press, Oxford University Press, New York.
-
(2002)
Sketc hes of an elephant: a topos theory compendium.
, vol.1
-
-
Johnstone, P.T.1
-
22
-
-
0001922492
-
Metamathematical investigation of a calculus of constructions
-
P. Odifreddi, Academic Press
-
Coquand, T. (1990). Metamathematical investigation of a calculus of constructions. In: Logic in Computer Science. (ed. P. Odifreddi). pp. 91-122. Academic Press.
-
(1990)
Logic in Computer Science
, pp. 91-122
-
-
Coquand, T.1
-
23
-
-
84966254446
-
Axiom of choice and complementation
-
Diaconescu, R. (1975). Axiom of choice and complementation. Proc. Amer. Math., Soc., 51, 176-178.
-
(1975)
Proc. Amer. Math., Soc.
, vol.51
, pp. 176-178
-
-
Diaconescu, R.1
-
27
-
-
0031313150
-
Zorn' lemma and complete Boolean algebras in intuitionistic type theories
-
Bell, J. (1997). Zorn' lemma and complete Boolean algebras in intuitionistic type theories. J Symbolic Logic, 62, 1265-1279.
-
(1997)
J Symbolic Logic
, vol.62
, pp. 1265-1279
-
-
Bell, J.1
-
28
-
-
84919521563
-
Modular correspondence between dependent type theories and categorical universes
-
to appear
-
Maietti, M. E. (2001). Modular correspondence between dependent type theories and categorical universes. Math Struct Comput Sci, to appear.
-
(2001)
Math Struct Comput Sci
-
-
Maietti, M.E.1
-
29
-
-
0033453769
-
Can you add powersets to Martin-Löf intuitionistic type theory?
-
Maietti, M. E. and Valentini, S. (1999). Can you add powersets to Martin-Löf intuitionistic type theory? Mathematical Logic Quarterly, 45, 521-532.
-
(1999)
Mathematical Logic Quarterly
, vol.45
, pp. 521-532
-
-
Maietti, M.E.1
Valentini, S.2
-
31
-
-
0002268478
-
On the meanings of the logical constants and the justifications of the logical laws
-
Reprinted in: Nordic J. Philosophical Logic, 1 (1996), no. 1, pages 11-60
-
Martin-Löf, P. (1985). On the meanings of the logical constants and the justifications of the logical laws. In: Proceedings of the conference on mathematical logic (Siena, 1983/1984). Volume. 2, pp. 203-281. Reprinted in: Nordic J. Philosophical Logic, 1 (1996), no. 1, pages 11-60.
-
(1985)
Proceedings of the conference on mathematical logic (Siena, 1983/1984)
, vol.2
, pp. 203-281
-
-
Martin-Löf, P.1
-
32
-
-
84874867056
-
Collection principles in dependent type theory
-
Springer, Berlin
-
Aczel, P. and Gambino, N. (2002). Collection principles in dependent type theory. In: Types for Proofs and Programs (Durham, 2000). Volume. 2277 of Lecture Notes in Comput. Sci, pp. 1-23. Springer, Berlin.
-
(2002)
Types for Proofs and Programs (Durham, 2000). Volume. 2277 of Lecture Notes in Comput. Sci
, pp. 1-23
-
-
Aczel, P.1
Gambino, N.2
-
35
-
-
84919561406
-
Variations on realizability: realizing the propositional axiom of choice
-
Hyland, J. M. E. (2002). Variations on realizability: realizing the propositional axiom of choice. Math Structures Comput Sci., 12, 295-317.
-
(2002)
Math Structures Comput Sci.
, vol.12
, pp. 295-317
-
-
Hyland, J.M.E.1
-
36
-
-
19044400621
-
A characterization of ML in many-sorted arithmetic with conditional application
-
Swaen, M. D. G. (1992). A characterization of ML in many-sorted arithmetic with conditional application. J Symbolic Logic, 57, 924-953.
-
(1992)
J Symbolic Logic
, vol.57
, pp. 924-953
-
-
Swaen, M.D.G.1
-
37
-
-
33750699514
-
The logic of first order intuitionistic type theory with weak sigma-elimination
-
Swaen, M. D. G. (1991). The logic of first order intuitionistic type theory with weak sigma-elimination. J Symbolic Logic, 56, 467-483.
-
(1991)
J Symbolic Logic
, vol.56
, pp. 467-483
-
-
Swaen, M.D.G.1
-
38
-
-
0037089746
-
Type theories, toposes and constructive set theory: predicative aspects of ast
-
Moerdijk, I. and Palmgren, E. (2002). Type theories, toposes and constructive set theory: predicative aspects of ast. Annals of Pure and Applied Logic, 114(1-3), 155-201.
-
(2002)
Annals of Pure and Applied Logic
, vol.114
, Issue.1-3
, pp. 155-201
-
-
Moerdijk, I.1
Palmgren, E.2
-
39
-
-
84919501571
-
On the analogy between propositions and types
-
University of Texas at Austin Year of Programming, Addison-Wesley, Reading, MA. Originally in LNCS 242
-
Coquand, T. (1990). On the analogy between propositions and types. In:Logical Foundations of Functional Programming, University of Texas at Austin Year of Programming, p. 393. Addison-Wesley, Reading, MA. Originally in LNCS 242.
-
(1990)
Logical Foundations of Functional Programming
, pp. 393
-
-
Coquand, T.1
-
41
-
-
27744460186
-
Generating positivity by coinduction
-
Martin-Löf, P. and Sambin, G. (2005). Generating positivity by coinduction.
-
(2005)
-
-
Martin-Löf, P.1
Sambin, G.2
|