An Interpretation of Martin-Lof's Type Theory in a Type-Free Theory of Propositions

Smith, Jan

Smith, Jan

J. Symbolic Logic, Tome 49 (1984) no. 1, p. 730-753 / Harvested from Project Euclid

Résumé

We present a formal theory of propositions and combinator terms, and in this theory we give an interpretation of Martin-Lof'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.

Publié le : 1984-09-14
Classification:

@article{1183741615,
     author = {Smith, Jan},
     title = {An Interpretation of Martin-Lof's Type Theory in a Type-Free Theory of Propositions},
     journal = {J. Symbolic Logic},
     volume = {49},
     number = {1},
     year = {1984},
     pages = { 730-753},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741615}
}

Smith, Jan. An Interpretation of Martin-Lof's Type Theory in a Type-Free Theory of Propositions. J. Symbolic Logic, Tome 49 (1984) no. 1, pp.  730-753. http://gdmltest.u-ga.fr/item/1183741615/