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CADE
2003
Springer
14 years 5 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
LICS
2006
IEEE
13 years 11 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
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...
Martin Otto
FUIN
2010
158views more  FUIN 2010»
13 years 2 months ago
Cellular Automata, Decidability and Phasespace
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...
Klaus Sutner
CSL
2006
Springer
13 years 8 months ago
On Rational Trees
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...
Arnaud Carayol, Christophe Morvan
AISC
2010
Springer
13 years 8 months ago
A Formal Quantifier Elimination for Algebraically Closed Fields
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 ...
Cyril Cohen, Assia Mahboubi