We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
We propose a method to search for a lemma in a goq proof library by using the lemma type as a key. The method is based on the concept of type isomorphism developed within the funct...