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On the complexity of bisimulation problems for pushdown automata


Author(s) : Richard Mayr, 
Publisher : N/A
Publication Date : 2000
ISSN : N/A
Abstract : Abstract. All bisimulation problems for pushdown automata are at least PSPACE-hard. In particular, we show that (1) Weak bisimilarity of pushdown automata and finite automata is PSPACE-hard, even for a small fixed finite automaton, (2) Strong bisimilarity of pushdown automata and finite automata is PSPACE-hard, but polynomial for every fixed finite automaton, (3) Regularity (finiteness) of pushdown automata w.r.t. weak and strong bisimilarity is PSPACE-hard.,