Beyond Language Equivalence on Visibly Pushdown Automata

Jiří Srba

doi:10.2168/lmcs-5(1:2)2009

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arXiv · 0901.2068

Beyond Language Equivalence on Visibly Pushdown Automata

Jiří Srba

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Abstract

We study (bi)simulation-like preorder/equivalence checking on the class of visibly pushdown automata and its natural subclasses visibly BPA (Basic Process Algebra) and visibly one-counter automata. We describe generic methods for proving complexity upper and lower bounds for a number of studied preorders and equivalences like simulation, completed simulation, ready simulation, 2-nested simulation preorders/equivalences and bisimulation equivalence. Our main results are that all the mentioned equivalences and preorders are EXPTIME-complete on visibly pushdown automata, PSPACE-complete on visibly one-counter automata and P-complete on visibly BPA. Our PSPACE lower bound for visibly one-counter automata improves also the previously known DP-hardness results for ordinary one-counter automata and one-counter nets. Finally, we study regularity checking problems for visibly pushdown automata and show that they can be decided in polynomial time.

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Jiří Srba. 2009-01-14. Beyond Language Equivalence on Visibly Pushdown Automata. https://doi.org/10.2168/lmcs-5(1:2)2009

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