Jun 7, 2008 · We use the disjunction, numerical existence and term existence properties of IZF to provide a program extraction capability from proofs in the constructive ...

We factor HOL into a constructive core plus axioms of excluded middle and choice. We similarly factor standard set theory, ZFC, into a constructive core, IZF, ...

Abstract. Church's Higher Order Logic is a basis for proof assistants. — HOL and PVS. Church's logic has a simple set-theoretic semantics,.

Sep 9, 2008 · Moreover, we can base program extraction on the IZF semantics. The constructive content of IZF is not as transparent as in the constructive set ...

Church's Higher Order Logic is a basis for proof assistants — HOL and PVS and the disjunction, numerical existence and term existence properties of IZF are ...

Oct 22, 2024 · We factor HOL into a constructive core plus axioms of excluded middle and choice. We similarly factor standard set theory, ZFC, into a ...

We factor HOL into a constructive core plus axioms of excluded middle and choice. We similarly factor standard set theory, ZFC, into a constructive core, IZF, ...

Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics ... Aczel, P.: The type theoretic interpretation of constructive set theory.

Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics IJCAR, 2006. IJCAR 2006 · DBLP · Scholar · DOI. Full names. Links ISxN.

Robert L. Constable, Wojciech Moczydlowski: Extracting Programs from Constructive HOL Proofs via IZF Set-Theoretic Semantics. CoRR abs/0806.1281 (2008).