An interpretation of Martin-löf's type theory in a type-free theory of propositions
Journal of Symbolic Logic 49 (3):730-753 (1984)
| Abstract | We present a formal theory of propositions and combinator terms, and in this theory we give an interpretation of Martin-Löf's type theory. The construction of the interpretation is inspired by the semantics for type theory, but it can also be viewed as a formalized realizability interpretation | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,631 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesPeter Dybjer (2000). A General Formulation of Simultaneous Inductive-Recursive Definitions in Type Theory. Journal of Symbolic Logic 65 (2):525-549.
Fairouz Kamareddine & Twan Laan (2001). A Correspondence Between Martin-Löf Type Theory, the Ramified Theory of Types and Pure Type Systems. Journal of Logic, Language and Information 10 (3):375-402.
Ingrid Lindström (1989). A Construction of Non-Well-Founded Sets Within Martin-Löf's Type Theory. Journal of Symbolic Logic 54 (1):57-64.
Giovanni Sambin & Jan M. Smith (eds.) (1998). Twenty-Five Years of Constructive Type Theory: Proceedings of a Congress Held in Venice, October 1995. Oxford University Press.
Erik Palmgren (1991). A Construction of Type: Type in Martin-Löf's Partial Type Theory with One Universe. Journal of Symbolic Logic 56 (3):1012-1015.
Bart Jacobs (1989). The Inconsistency of Higher Order Extensions of Martin-Löf's Type Theory. Journal of Philosophical Logic 18 (4):399 - 422.
Adam Obtułowicz (1989). Categorical and Algebraic Aspects of Martin-Löf Type Theory. Studia Logica 48 (3):299 - 317.
Nicola Gambino & Peter Aczel (2006). The Generalised Type-Theoretic Interpretation of Constructive Set Theory. Journal of Symbolic Logic 71 (1):67 - 103.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2009-01-28Total downloads2 ( #232,211 of 548,973 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
