Binary Reachability Analysis of Pushdown Timed Automata with Dense Clocks

Zhe Dang

To appear at 13th Conference on Computer-Aided Verification (CAV01), Paris, France, 18-22 July 2001


Abstract

We consider pushdown timed automata (PTAs) that are timed automata (with dense clocks) augmented with a pushdown stack. A configuration of a PTA includes a control state, dense clock values and a stack word. By using the pattern technique, we give a decidable characterization of the binary reachability (i.e., the set of all pairs of configurations such that one can reach the other) of a PTA. Since a timed automaton can be treated as a PTA without the pushdown stack, we can show that the binary reachability of a timed automaton is definable in the additive theory of reals and integers. The results can be used to verify a class of properties containing linear relations over both dense variables and unbounded discrete variables. The properties previously could not be verified using the classic region technique nor expressed by timed temporal logics for timed automata and CTL$^*$ for pushdown systems.


Server START Conference Manager
Update Time 28 Mar 2001 at 08:36:01
Maintainer www-cav01@lsv.ens-cachan.fr.
Start Conference Manager
Conference Systems