Reachability analysis for timed automata using max-plus algebra

Reachability Analysis for Timed Models using Max-Plus Algebra

Reachability-Time Games on Timed Automata

In a reachability-time game, players Min and Max choose moves so that the time to reach a final state in a timed automaton is minimised or maximised, respectively. Asarin and Maler showed decidability of reachability-time games on strongly non-Zeno timed automata using a value iteration algorithm. This paper complements their work by providing a strategy improvement algorithm for the problem. I...

SAT-Based Reachability Checking for Timed Automata with Discrete Data

Reachability analysis for timed automata using SAT-based methods was considered in many papers, occurring to be a very efficient model checking technique. In this paper we show how to apply this method of verification to timed automata with discrete data, i.e., to standard timed automata augmented with integer variables. The theoretical description is supported by some preliminary experimental ...

On Nonlinear Prices in Timed Automata

Priced timed automata provide a natural model for quantitative analysis of real-time systems and have been successfully applied in various scheduling and planning problems. The optimal reachability problem for linearly-priced timed automata is known to be PSPACE-complete. In this paper we investigate priced timed automata with more general prices and show that in the most general setting the op...

Binary Reachability Analysis of Discrete Pushdown Timed Automata

We introduce discrete pushdown timed automata that are timed automata with integer-valued clocks augmented with a pushdown stack. A con guration of a discrete pushdown timed automaton includes a control state, nitely many clock values and a stack word. Using a pure automata-theoretic approach, we show that the binary reachability (i.e., the set of all pairs of con gurations ( ; ), encoded as st...