KT an S4 satisfiability in a constraint logic environment

Abstract

The modal satisfiability problem is solved either by using a specifically designed algorith, or by translating the modal logic formula into an instance of a different class of problem, or, more recently, a constraint satisfaction problem. In the latter approach, the modal formula is translated into layered propositional formulae. Each layer is translated into a constraint satisfaction problem which is solved using a constraint solver. The researchers extend this approach to the modal logics KT and S4 and introduce a range of optimizatins of the basic prototype. The results compare favorably with those of other solvers, and support the adoption of constraint programming as implementation platform for modal and other related satisfiability solvers.