Subsets, quotients and partial functions in Martin-Löfs type theory

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2646, Issue , 2003, Pages 78-94

  Carlström, Jesper ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

FORMAL LANGUAGES; SET THEORY;

EQUIVALENCE RELATIONS; PARTIAL FUNCTIONS; PROPOSITIONAL FUNCTIONS; TYPE THEORY;

FUNCTIONS;

EID: 35248816015     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-39185-1_5     Document Type: Article

References (12)

1. Martin-Löf, P.: Intuitionistic Type Theory. Bibliopolis, Naples (1984)
2. Nordström, B., Petersson, K., Smith, J.: Programming in Martin-Löfs Type Theory. Oxford University Press (1990) http://www.cs.chalmers.se/Cs/Research/ Logic/book/.
3. Cruz-Filipe, L., Spitters, B.: Program extraction from large proof developments, (to appear)
4. Coquand, T., Huet, G.: The calculus of constructions. Information and Computation 76 (1988) pp. 95-120
5. Capretta, V.: Chap. 5: Setoids. In: Abstraction and Computation. PhD thesis, Katholieke Universiteit Nijmegen (2002)
6. Cruz-Filipe, L.: Formalizing real calculus in Coq. In Carreño, V., Muñoz, C., Tahar, S., eds.: Theorem Proving in Higher Order Logics. NASA Conference Proceedings (2002)
7. Sambin, G., Valentini, S.: Building up a toolbox for Martin-Löfs type theory: subset theory. In Sambin, G., Smith, J., eds.: Twenty-Five Years of Constructive Type Theory, Oxford University Press (1995) pp. 221-244
8. Sambin, G.: Intuitionistic formal spaces - a first communication. In Skordev, D., ed.: Mathematical Logic and its Applications. (1987) pp. 187-204
9. Sambin, G.: Some points in formal topology. In: Proceedings of the Dagstuhl Seminar 00231, Topology in Computer Science: Constructivity; Asymmetry and Partiality; Digitalization, Schloss Dagstuhl, Germany, June, 2000. (to appear)
10. Kock, A.: The constructive lift monad. Technical Report RS-95-20, BRIGS (1995) http://www.brics.dk/RS/95/20/.
11. ∼palmgren/ (2002)
12. Bishop, E.: Foundations of Constructive Analysis. McGraw-Hill (1967)