Reachability analysis for timed automata using max-plus algebra

Reachability analysis for timed automata using max-plus algebra

We show that max-plus polyhedra are usable as a data structure in reachability analysis of timed automata. Drawing inspiration from the extensive work that has been done on difference bound matrices, as well as previous work on max-plus polyhedra in other areas, we develop the algorithms needed to perform forward and backward reachability analysis using maxplus polyhedra. To show that the appro...

Reachability Analysis for Timed Models using Max-Plus Algebra

Reachability Analysis for Timed Automata Using Partitioning Algorithms

The paper presents a new method for checking reachability properties of Timed Automata. The idea consists in on-the-fly verification of a property on a pseudo-bisimulating model generated by a modified partitioning algorithm. Pseudo-bisimulating models are often much smaller than forward-reachability graphs commonly used in reachability analysis. A theoretical description of the algorithm is su...

Minimum-Cost Reachability for Priced Timed Automata

This paper introduces the model of linearly priced timed automata as an extension of timed automata, with prices on both transitions and locations. For this model we consider the minimum-cost reachability problem: i.e. given a linearly priced timed automaton and a target state, determine the minimum cost of executions from the initial state to the target state. This problem generalizes the mini...

Multi-core Reachability for Timed Automata

Model checking of timed automata is a widely used technique. But in order to take advantage of modern hardware, the algorithms need to be parallelized. We present a multi-core reachability algorithm for the more general class of well-structured transition systems, and an implementation for timed automata. Our implementation extends the opaal tool to generate a timed automaton successor generato...