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Automated Deduction in the B Set Theory using Typed Proof Search and Deduction Modulo
Abstract : We introduce an encoding of the set theory of the B method using polymorphic types and deduction modulo, which is used for the automated verication of proof obligations in the framework of theBWare project. Deduction modulo is an extension of predicate calculus with rewriting both on terms and propositions. It is well suited for proof search in theories because it turns many axioms into rewrite rules. We also present the associated automated theorem prover Zenon Modulo, an extension of Zenon to polymorphic types and deduction modulo, along with its backend to the Dedukti universal proof checker, which also relies on types and deduction modulo, and which allows us to verify the proofs produced by Zenon Modulo. Finally, we assess our approach over the proof obligation benchmark of BWare.
Littérature citée [22 références]
https://hal-mines-paristech.archives-ouvertes.fr/hal-01204701
Contributeur : Claire Medrala <>
Soumis le : mardi 15 décembre 2015 - 11:12:20
Dernière modification le : vendredi 6 mars 2020 - 01:28:12
Document(s) archivé(s) le : samedi 29 avril 2017 - 14:08:06
Contributeur : Claire Medrala <>
Soumis le : mardi 15 décembre 2015 - 11:12:20
Dernière modification le : vendredi 6 mars 2020 - 01:28:12
Document(s) archivé(s) le : samedi 29 avril 2017 - 14:08:06
Fichier
A-615-v2.pdf
Fichiers produits par l'(les) auteur(s)
