2005
DOI: 10.1007/11513988_38
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Expand, Enlarge and Check... Made Efficient

Abstract: Abstract. The coverability problem is decidable for the class of wellstructured transition systems. Until recently, the only known algorithm to solve this problem was based on symbolic backward reachability. In a recent paper, we have introduced the theory underlying a new algorithmic solution, called 'Expand, Enlarge and Check', which can be implemented in a forward manner. In this paper, we provide additional concepts and algorithms to turn this theory into efficient forward algorithms for monotonic extensio… Show more

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Cited by 13 publications
(9 citation statements)
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“…The method of [21,20] and its reformulated, generic version of [19] are in principle similar to ours. They come with a complete method for well-quasi ordered systems which is an alternative to backward reachability analysis based on a forward exploration.…”
Section: Related Workmentioning
confidence: 81%
“…The method of [21,20] and its reformulated, generic version of [19] are in principle similar to ours. They come with a complete method for well-quasi ordered systems which is an alternative to backward reachability analysis based on a forward exploration.…”
Section: Related Workmentioning
confidence: 81%
“…Petri nets: Many data structures and algorithms have been proposed for their efficient analysis and coverability checking [15,11,8]. Most of these algorithms suffer, however, from an intractable number of vector elements after the translation from (Boolean) programs: one per local program state.…”
Section: Related Workmentioning
confidence: 99%
“…The PEP tool is a popular coverability checker [16] that takes as input a variety of languages such as B(P N ) 2 and SDL. A more recent tool implements the Expand, Enlarge and Check algorithms due to Geeraerts et al [15]. Furthermore, Petri net/VASS analysis has been applied to Java programs [7] and Boolean programs [2].…”
Section: Related Workmentioning
confidence: 99%
“…However the superset obtained in the end may not be tight enough to decide the property. We can cite the classic tool Hytech [1], as well as the abstract-check and refine technique of Raskin et al [44] to compute iteratively covering trees of monotonic Petri nets.…”
Section: Other Tools For Counter Systemsmentioning
confidence: 99%