We introduce tree-width for first order formulae , fotw(). We show that computing fotw is fixed-parameter tractable with parameter fotw. Moreover, we show that on classes of formul...
Abstract. The logical and operational aspects of rewriting logic as a logical framework are tested and illustrated in detail by representing pure type systems as object logics. Mor...
A technique is proposed for computing the weakest sufficient (wsc) and strongest necessary (snc) conditions for formulas in an expressive fragment of first-order logic using quant...
Patrick Doherty, Witold Lukaszewicz, Andrzej Szala...
Abstract. We present a first-order theory of (finite) sequences with integer elements, Presburger arithmetic, and regularity constraints, which can model significant properties of ...
Quantifier reasoning in Satisfiability Modulo Theories (SMT) is a long-standing challenge. The practical method employed in modern SMT solvers is to instantiate quantified formulas...