Extracting Programs from Constructive HOL Proofs via IZF Set-Theoretic Semantics

Church's Higher Order Logic is a basis for influential proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We factor HOL into a constructive core plus axioms of excluded middle and choice. We similarly factor standard...

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Bibliographic Details
Main Authors: Robert Constable, Wojciech Moczydlowski
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2008-09-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1140/pdf