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Automated Deduction Techniques for Studying Rough Algebras

Laurent Vigneron 1
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a non-exhaustive state of the art in the domain of deduction in first-order logic with equality, describing different strategies introduced over the years: strategies for selecting deduction steps, for eliminating redundant information, for delaying the resolution of unsolved or too difficult problems, for applying deductions with built-in properties. We also present the system daTac that implements our deduction techniques modulo associative-commutative properties. Finally we detail an application of those techniques to the study of non-classical logics, work realised in collaboration with Prof. Wasilewska (Stony Brook University, New York).
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https://hal.inria.fr/inria-00098614
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Submitted on : Monday, September 25, 2006 - 5:03:57 PM
Last modification on : Friday, February 4, 2022 - 3:30:24 AM

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Laurent Vigneron. Automated Deduction Techniques for Studying Rough Algebras. Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 1998, 33 (1), pp.85-103. ⟨inria-00098614⟩

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