Importing HOL light into Coq

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Abstract

We present a new scheme to translate mathematical developments from HOL Light to Coq, where they can be re-used and re-checked. By relying on a carefully chosen embedding of Higher-Order Logic into Type Theory, we try to avoid some pitfalls of inter-operation between proof systems. In particular, our translation keeps the mathematical statements intelligible. This translation has been implemented and allows the importation of the HOL Light basic library into Coq.

Original languageEnglish
Title of host publicationInteractive Theorem Proving - First International Conference, ITP 2010, Proceedings
PublisherSpringer Verlag
Pages307-322
Number of pages16
ISBN (Print)3642140513, 9783642140518
DOIs
Publication statusPublished - 1 Jan 2010
Event1st International Conference on Interactive Theorem Proving, ITP 2010 - Edinburgh, United Kingdom
Duration: 11 Jul 201014 Jul 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6172 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st International Conference on Interactive Theorem Proving, ITP 2010
Country/TerritoryUnited Kingdom
CityEdinburgh
Period11/07/1014/07/10

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