In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Abstract. Cellular automata have rich computational properties and, at the same time, provide plausible models of physics-like computation. We study decidability issues in the phas...
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
We prove formally that the first order theory of algebraically closed fields enjoy quantifier elimination, and hence is decidable. This proof is organized in two modular parts. We ...