Semantic Completeness of Intuitionistic Predicate Logic in a Fully Constructive Meta-Theory

Abstract

A constructive proof of the semantic completeness of intuitionistic predicate logic is explored using set-generated complete Heyting Algebra. We work in a constructive set theory that avoids impredicative axioms; for this reason the result is not only intuitionistic but fully constructive. We provide background that makes the thesis accessible to the uninitiated

    Similar works