In this paper we prove that Japaridze's Polymodal Logic is PSPACE-decidable. To show this, we describe a decision procedure for satisfiability on hereditarily ordered frames t...
Deciding whether a modal formula is satisfiable with respect to a given set of (global) assumptions is a question of fundamental importance in applications of logic in computer sc...
For every Kripke complete modal logic L we define its hybrid companion LH . For a reasonable class of logics, we present a satisfiability-preserving translation from LH to L. We p...
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...
Forthcoming in the Journal of Aritificial Intelligence We introduce mathematical programming and atomic decomposition as the basic modal (T-Box) inference techniques for a large c...