Home

On the interpretation of type theory in locally cartesian closed categories


Author(s) : Martin Hofmann, 
Publisher : N/A
Publication Date : 1994
ISSN : N/A
Abstract : Abstract. We show how to construct a model of dependent type theory (category with attributes) from a locally cartesian closed category (lccc). This allows to define a semantic function interpreting the syntax of type theory in an lccc. We sketch an application which gives rise to an interpretation of extensional type theory in intensional type theory. 1,