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Model Checking Timed Automata with Priorities using DBM Subtraction



Alexandre David , John Håkansson , Kim Guldstrand Larsen , Paul Pettersson

Publication Type:

Conference/Workshop Paper


4th International Conference on Formal Modelling and Analysis of Timed Systems (FORMATS06)




In this paper we describe an extension of timed automata with priorities, and efficient algorithms to compute subtraction on DBMs (difference bounded matrices), needed in symbolic model-checking of timed automata with priorities. The subtraction is one of the few operations on DBMs that result in a non-convex set needing sets of DBMs for representation. Our subtraction algorithms are efficient in the sense that the number of generated DBMs is significantly reduced compared to a naive algorithm. The overhead in time is compensated by the gain from reducing the number of resulting DBMs since this number affects the performance of symbolic model-checking. The uses of the DBM subtraction operation extend beyond timed automata with priorities. It is also useful for allowing guards on transitions with urgent actions, deadlock checking, and timed games.


author = {Alexandre David and John H{\aa}kansson and Kim Guldstrand Larsen and Paul Pettersson},
title = {Model Checking Timed Automata with Priorities using DBM Subtraction},
editor = {Eugene Asarin and Patricia Bouyer},
pages = {128--142},
month = {September},
year = {2006},
booktitle = {4th International Conference on Formal Modelling and Analysis of Timed Systems (FORMATS06)},
publisher = {Springer-Verlag},
url = {}