Titlebook: Automated Deduction in Classical and Non-Classical Logics; Selected Papers Ricardo Caferra,Gernot Salzer Conference proceedings 2000 Spring

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,Lemma of disjunction—2nd form,In this paper we illustrate by means of an example, namely ..-logics, a method for translation to clause form and automated theorem proving for first-order many-valued logics based on distributive lattices with operators.

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A Further and Effective Liberalization of the ,-Rule in Free Variable Semantic TableauxIn this paper, we present a further liberalization of the .-rule in free variable semantic tableaux. It is effective in that (1) it is both a natural and intuitive liberalization, and (2) can reduce the proof size non elementarily as compared to previous versions of the .-rule.

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A New Fast Tableau-Based Decision Procedure for an Unquantified Fragment of Set TheoryIn this paper we present a new fast tableau-based decision procedure for the ground set-theoretic fragment Multi-Level Syllogistic with Singleton (in short .) which avoids the interleaving of model checking steps..The underlying tableau calculus is based upon the system ..

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Full First-Order Sequent and Tableau Calculi With Preservation of Solutions and the Liberalized ,-RuWe present a combination of raising, explicit variable dependency representation, the liberalized .-rule, and preservation of solutions for first-order deductive theorem proving. Our main motivation is to provide the foundation for our work on inductive theorem proving.