Abstract. A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithme...
Fast is a tool designed for the analysis of counter systems, i.e. automata extended with unbounded integer variables. Despite the reachability set is not recursive in general, Fast...
TAPAS is a suite of libraries dedicated to FO (R, Z, +, ≤). The suite provides (1) the application programming interface GENEPI for this logic with encapsulations of many classic...
In this paper we propose a new data structure, called shared automata, for representing deterministic finite automata (DFA). Shared automata admit a strong canonical form for DFA ...
This paper proposes an optimal approach to infinite-state action planning exploiting automata theory. State sets and actions are characterized by Presburger formulas and represent...