Decidability of Bisimilarity for One-Counter Processes1
نویسنده
چکیده
It is shown that bisimulation equivalence is decidable for the processes generated by (nondeterministic) pushdown automata where the pushdown behaves like a counter. Also niteness up to bisimilarity is shown to be decidable for the mentioned processes. 3
منابع مشابه
Complexity of Checking Bisimilarity between Sequential and Parallel Processes
Decidability of bisimilarity for Process Algebra (PA) processes, arising by mixing sequential and parallel composition, is a longstanding open problem. The known results for subclasses contain the decidability of bisimilarity between basic sequential (i.e. BPA) processes and basic parallel processes (BPP). Here we revisit this subcase and derive an exponential-time upper bound. Moreover, we sho...
متن کاملBisimilarity of One-Counter Processes Is PSPACE-Complete
A one-counter automaton is a pushdown automaton over a singleton stack alphabet. We prove that the bisimilarity of processes generated by nondeterministic one-counter automata (with no ε-steps) is in PSPACE. This improves the previously known decidability result (Jančar 2000), and matches the known PSPACE lower bound (Srba 2009). We add the PTIME-completeness result for deciding regularity (i.e...
متن کاملDecidability of Bisimilarity for One-Counter Processes
It is shown that bisimulation equivalence is decidable for the processes generated by (nondeterministic) pushdown automata where the pushdown behaves like a counter. Also niteness up to bisimilarity is shown to be decidable for the mentioned processes. 1 1 This paper is to appear in Information and Computation. The nal revisions were carried out while the author visited Uppsala university due t...
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We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata (without ε-transitions). Our first contribution is a general construction that reduces checking bisimilarity of probabilistic transition systems to checking bi...
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The main result is undecidability of bisimilarity for labelled (place/transition) Petri nets. The same technique applies to the (preex) language equivalence and reachability set equality, which yields stronger versions with simpler proofs of already known results. The paper also shows decidability of bisimilarity if one of the nets is deterministic up to bisimilarity. Another decidability resul...
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تاریخ انتشار 1997