An interpretation of Martin-Löf's type theory in a type-free theory of propositions
- 1 September 1984
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 49 (3) , 730-753
- https://doi.org/10.2307/2274128
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
This publication has 2 references indexed in Scilit:
- Recursive models for constructive set theoriesAnnals of Mathematical Logic, 1982
- Frege Structures and the Notions of Proposition, Truth and SetStudies in Logic and the Foundations of Mathematics, 1980