Teren, Viktor ; Cortadella, Jordi ; Villa, Tiziano
Contributor:Niemiec, Marcin - ed. ; Dziech, Andrzej - ed. ; Wassermann, Jakob - ed.
Title:Generation of synchronizing state machines from a transition system: A region-based approach
Subtitle: Group publication title: Subject and Keywords:transition systems ; Petri nets ; state machine ; decomposition ; theory of regions ; SAT ; pseudo-Boolean optimization
Abstract:Transition systems (TSs) and Petri nets (PNs) are important models of computation ubiquitous in formal methods for modeling systems. A crucial problem is how to extract, from a given TS, a PN whose reachability graph is equivalent (with a suitable notion of equivalence) to the original TS. This paper addresses the decomposition of transition systems into synchronizing state machines (SMs), which are a class of Petri nets where each transition has one incoming and one outgoing arc. Furthermore, all reachable markings (non-negative vectors representing the number of tokens for each place) of an SM have only one marked place with only one token. ; This is a significant case of the general problem of extracting a PN from a TS. The decomposition is based on the theory of regions, and it is shown that a property of regions called excitation-closure is a sufficient condition to guarantee the equivalence between the original TS and a decomposition into SMs. An efficient algorithm is provided which solves the problem by reducing its critical steps to the maximal independent set problem (to compute a minimal set of irredundant SMs) or to satisfiability (to merge the SMs). We report experimental results that show a good trade-off between quality of results vs. computation time.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: DOI: Pages: Source:AMCS, volume 33, number 1 (2023) ; click here to follow the link
Language: License CC BY 4.0: Rights: