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Trace inclusion for one-counter nets revisited

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cris.lastimport.scopus2024-02-12T20:31:43Z
dc.abstract.enOne-counter nets ( OCN) consist of a nondeterministic finite control and a single integer counter that cannot be fully tested for zero. They form a natural subclass of both One-Counter Automata, which allow zero-tests and Petri Nets/VASS, which allow multiple such weak counters. The trace inclusion problem has recently been shown to be undecidable for OCN. In this paper, we contrast the complexity of two natural restrictions which imply decidability. We show that trace inclusion between a OCN and a deterministic OCN is NL-complete, even with arbitrary binary-encoded initial counter-values as part of the input. Secondly, we show that the trace universality problem of nondeterministic OCN, which is equivalent to checking trace inclusion between a finite system and a OCN-process, is Ackermann-complete.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorTotzke, Patrick
dc.contributor.authorHofman, Piotr
dc.date.accessioned2024-01-26T11:04:33Z
dc.date.available2024-01-26T11:04:33Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume735
dc.identifier.doi10.1016/J.TCS.2017.05.009
dc.identifier.issn0304-3975
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/123627
dc.languageeng
dc.pbn.affiliationcomputer and information sciences
dc.relation.ispartofTheoretical Computer Science
dc.relation.pages50-63
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enocn automata one counter traces
dc.titleTrace inclusion for one-counter nets revisited
dc.typeJournalArticle
dspace.entity.typePublication