The Ideal Theory for WSTS
نویسنده
چکیده
We begin with a survey on well structured transition systems and, in particular, we present the ideal framework [FG09a,BFM14] which was recently used to obtain new deep results on Petri nets and extensions. We argue that the theory of ideals prompts a renewal of the theory of WSTS by providing a way to define a new class of monotonic systems, the so-called Well Behaved Transition Systems, which properly contains WSTS, and for which coverability is still decidable by a forward algorithm. We then recall the completion of WSTS which leads to defining a conceptual Karp-Miller procedure that terminates in more cases than the generalized Karp-Miller procedure on extensions of Petri nets.
منابع مشابه
Master subject Model Checking Petri Nets Supervisor
The theory of Well Structured Transition Systems, (WSTS) allows the automatical verification of safety properties of infinite-state systems, such that parts of reachability sets can be finitely represented [7, 11, 10]. Termination, boundedness and coverability are decidable for WSTS [4, 5, 9]. As Petri nets are WSTS, the previous properties are decidable. For complete WSTS [10], the Karp and Mi...
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