Tableaux Modulo Theories Using Superdeduction
We propose a method which 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.
KeywordsTableaux Superdeduction Zenon Set Theory B Method Proof Rules Verification
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- 3.Brauner, P., Houtmann, C., Kirchner, C.: Principles of Superdeduction. In: Ong, L. (ed.) Logic in Computer Science (LICS), Wrocław (Poland), pp. 41–50. IEEE Computer Society Press (July 2007)Google Scholar