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Conference Papers Year : 2014

Tableaux Modulo Theories Using Superdeduction

Abstract

We propose a method that allows us to develop tableaux modulo theories using the principles of superdeduction, among which the theory is used to enrich the deduction system with new deduction rules. This method is presented in the framework of the Zenon automated theorem prover, and is applied to the set theory of the B method. This allows us to provide another prover to Atelier B, which can be used to verify B proof rules in particular. We also propose some benchmarks, in which this prover is able to automatically verify a part of the rules coming from the database maintained by Siemens IC-MOL. Finally, we describe another extension of Zenon with superdeduction, which is able to deal with any first order theory, and provide a benchmark coming from the TPTP library, which contains a large set of first order problems.
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Dates and versions

hal-01099338 , version 1 (02-01-2015)

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Mélanie Jacquel, Karim Berkani, David Delahaye, Catherine Dubois. Tableaux Modulo Theories Using Superdeduction. IJCAR 2012 - 6th International Joint Conference on Automated Reasoning, Jun 2012, Manchester, UK, United Kingdom. pp.1 - 13, ⟨10.1007/978-3-642-31365-3_26⟩. ⟨hal-01099338⟩
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