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Well (and Better) Quasi-Ordered Transition Systems

Published online by Cambridge University Press:  15 January 2014

Parosh Aziz Abdulla
Parosh Aziz Abdulla*
Affiliation:
Department of Information Technology, Uppsala University, P.O. Box 337, 751 05 Uppsala, Sweden E-mail: parosh@it.uu.se
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Abstract

In this paper, we give a step by step introduction to the theory of well quasi-ordered transition systems. The framework combines two concepts, namely (i) transition systems which are monotonic wrt. a well-quasi ordering; and (ii) a scheme for symbolic backward reachability analysis. We describe several models with infinite-state spaces, which can be analyzed within the framework, e.g., Petri nets, lossy channel systems, timed automata, timed Petri nets, and multiset rewriting systems. We will also present better quasi-ordered transition systems which allow the design of efficient symbolic representations of infinite sets of states.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 16 , Issue 4 , December 2010 , pp. 457 - 515
Copyright
Copyright © Association for Symbolic Logic 2010

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