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Efficient Reachability Graph Representation of Petri Nets With Unbounded Counters
Author(s) -
Franck Pommereau,
Raymond Devillers,
Hanna Klaudel
Publication year - 2009
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2009.05.034
Subject(s) - petri net , reachability , graph , computer science , stochastic petri net , semantics (computer science) , theoretical computer science , representation (politics) , reachability problem , encode , discrete mathematics , mathematics , programming language , biochemistry , chemistry , politics , political science , law , gene
In this paper, we define a class of Petri nets, called Petri nets with counters, that can be seen as place/transition Petri nets enriched with a vector of integer variables on which linear operations may be applied. Their semantics usually leads to huge or infinite reachability graphs. Then, a more compact representation for this semantics is defined as a symbolic state graph whose nodes possibly encode infinitely many values for the variables. Both representations are shown behaviourally equivalent. © 2009 Elsevier B.V. All rights reserved.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

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