Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Abstract. It is natural to present subtyping for recursive types coinductively. However, Gapeyev, Levin and Pierce have noted that there is a problem with coinductive definitions ...
Theoremsin automated theorem proving are usually proved by logical formal proofs. However,there is a subset of problems which humanscan prove in a different wayby the use of geome...
Hybrid is a system developed to specify and reason about logics, programming languages, and other formal systems expressed in rder abstract syntax (HOAS). An important goal of Hyb...