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Tableaux based decision procedures for modal logics of confluence and density

del Cerro L.F., Gasquet O.

Fundamenta Informaticae

1999

Vol. 40, Nr 4

317-333

In this paper we present a decision procedures for modal logics with transitive models together with additionnal properties like confluence and density. These procedures are tableaux-based, and we show how to handle them in this well-known framework by generalizing usual tableaux (which are trees) to richer structures: directed acyclic graphs.

Automated deduction techniques for studying Rough Algebras

Vigneron L.

Fundamenta Informaticae

1998

Vol. 33, nr 1

85-103

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 dalac 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).