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The authors of Beziau and Franceschetto (New directions in paraconsistent logic, vol 152, Springer, New Delhi, 2015) work with logics that have the property of not satisfying any of the formulations of the principle of non contradiction, Béziau and Franceschetto also analyze, among the three-valued logics, which of these logics satisfy this property. They prove that there exist only four of such logics,...
In this paper, we describe the development of a series of automatic theorem provers for a variety of logics. Provers are developed from a functional approach. The first prover is for Classical Propositional Calculus (CPC), which is based on a constructive proof of Kalmar's Theorem. We also provide the implementation of a cut and contraction free sequent calculus for Intuitionistic Propositional Logic...
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