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Well-structured transition systems (WSTS's) are a general class of innnite state systems for which decidability results rely on the existence of a well-quasi-ordering between states that is compatible with the transitions. In this article, we provide an extensive treatment of the WSTS idea and show several new results. Our improved deenitions allow many(More)
Fast is a tool for the analysis of large or even infinite systems. This paper describes the underlying theory, the architecture choices that have been made in the tool design. The user must provide a model to analyse, the property to check and a computation policy. Several such policies are proposed as a standard in the package, others can be added by the(More)
This paper gives a simple and direct algorithm for computing the always regular set of reachable states of a pushdown system. It then exploits this algorithm for obtaining model checking algorithms for linear-time temporal logic as well as for the logic CTL. For the latter, a new technical tool is introduced: pushdown automata with transitions conditioned(More)
We present a structure for transition systems with which the main decidability results on Petri nets can be generalized to structured transition systems. We define the reduced reachability tree of a structured transition system; it allows one to decide the finite reachability tree problem (also called the finite termination problem) and the finite(More)