Proof Search and Proof Check for Equational and Inductive Theorems
Identifieur interne : 007220 ( Main/Exploration ); précédent : 007219; suivant : 007221Proof Search and Proof Check for Equational and Inductive Theorems
Auteurs : Eric Deplagne [France] ; Claude Kirchner [France] ; Hélène Kirchner [France] ; Quang-Huy Nguyen [France]Source :
Descripteurs français
- mix :
Abstract
This paper presents on-going researches on theoretical and practical issues of combining rewriting based automated theorem proving and user-guided proof development, with the strong constraint of safe cooperation of both. In practice, we instantiate the theoretical study on the coq proof assistant and the elan rewriting based system, focusing first on equational and then on inductive proofs. Different concepts, especially rewriting calculus and deduction modulo, contribute to define and to relate proof search, proof representation and proof check.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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Le document en format XML
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<profileDesc><textClass><keywords scheme="mix" xml:lang="fr"><term>assistant à la preuve</term>
<term>automated theorem proving</term>
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<term>déduction</term>
<term>induction</term>
<term>preuve automatique</term>
<term>proof assistant</term>
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<front><div type="abstract" xml:lang="en">This paper presents on-going researches on theoretical and practical issues of combining rewriting based automated theorem proving and user-guided proof development, with the strong constraint of safe cooperation of both. In practice, we instantiate the theoretical study on the coq proof assistant and the elan rewriting based system, focusing first on equational and then on inductive proofs. Different concepts, especially rewriting calculus and deduction modulo, contribute to define and to relate proof search, proof representation and proof check.</div>
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