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

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M. Karowski,W. Müller,R. Schradererform badly on theorems such as those from set theory that are proven largely by expanding Definitions. The technique of using replacement rules permits automatic proofs of such theorems to be found quickly in many cases. We present a refinement of the replacement rule method which increases its ef

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Representations of Finite Groups,mpty clause (representing contradiction) is derivable by resolution from every unsatisfiable set of clauses .. However, there is another — less well known — concept of completeness for clause logic, that is often referred to as “Lee’s Theorem” (see, e.g., [.]): Char-tung Lee’s dissertation [.] focus

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Representations of Finite Groups,many (even infinitely many) standard clauses can be represented by a single c-clause. Hence, many parallel inference steps on standard clauses can be encoded in a single inference step on c-clauses. The aim of this work is to investigate another possibility offered by constrained clauses: We shall t

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https://doi.org/10.1007/978-981-16-6108-2here the Barcan formula is derivable. Effective properties, namely, admissibility of the cut rule, Harrop properties, and the interpolation property for the calculi under consideration are proved using proof-theoretical methods. Based on the constructed sequent calculi, computer-aided tableaux-like

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Undergraduate Texts in Mathematicsder every experiment that can be performed on the system. A good example is the traditional implementation of sets by lists, where union as implemented by append fails to strictly satisfy basic laws like commutativity and idempotency, but does satisfy them behaviorally. It is becoming increasingly c