The paper provides a recipe for adequately representing a very inclusive class of finite-valued logics by way of tableaux. The only requisite for applying the method is that the object logic received as input should be sufficiently expressive, in having the appropriate linguistic resources that allow for a bivalent representation. For each logic, the tableau system obtained as output has some a...

A tableau calculus is proposed, based on a compressed representation of clauses, where literals sharing a similar shape may be merged. The inferences applied on these literals are fused when possible, which reduces the size of the proof. It is shown that the obtained proof procedure is sound, refutationally complete and allows to reduce the size of the tableau by an exponential factor. The appr...

In [11,13] we showed how to combine propositional BDI logics using Gabbay’s fibring methodology. In this paper we extend the above mentioned works by providing a tableau-based decision procedure for the combined/fibred logics. We show how to uniformly construct a tableau calculus for the combined logic using Governatori’s labelled tableau system KEM.

An axiomatic formulation of a logic called LPS4 appears in [3]. Here that logic is proved sound and complete with respect to the weak semantics of [7]. Also a tableau system for LPS4 is introduced, and also proved sound and complete with respect to the semantics, thus establishing both cut elimination and equivalence with the axiomatic formulation.

We implement an algorithm for extracting appropriate collections of classiclike sound and complete tableau rules for a large class of finite-valued logics. Its output consists of Isabelle theories.

Starting from suitable tableaux over finite dimensional Lie algebras, we provide a scheme for producing involutive linear Pfaffian systems related to various classes of submanifolds in homogeneous spaces which constitute integrable systems. These include isothermic surfaces, Willmore surfaces, and other classical soliton surfaces. Completely integrable equations such as the G/G0-system of Terng...

A simple relaxation of two rows of a simplex tableau is a mixed integer set consisting of two equations with two free integer variables and non-negative continuous variables. Recently Andersen et al. [3] and Cornuéjols and Margot [17] showed that the facet-defining inequalities of this set are either split cuts or intersection cuts obtained from lattice-free triangles and quadrilaterals. Throug...

This paper introduces MetTeL2, a tableau prover generator producing Java code from the specification of a logical syntax and a tableau calculus. It is intended to provide an easy to use system for non-technical users and allow technical users to extend the generated implementations.

we present a detailed analysis of the static tuning characteristics of three section tunable distributed bragg reflector (dbr) laser. the analysis is based on the transfer matrix method (tmm), transmission line and scattering theory. the key feature of the analysis is the use of modified oscillation condition. with the exact oscillation condition, the static tuning characteristics such as thres...

This paper discusses a new strategy to decide Dummett logic. The strategy relies on a tableau calculus whose distinguishing features are the rules for implicative formulas. The strategy has been implemented and the experimental results are reported.