Title
Bisimilarity of one-counter processes is PSPACE-complete
Abstract
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. finiteness up to bisimilarity) of one-counter processes.
Year
DOI
Venue
2010
10.1007/978-3-642-15375-4_13
CONCUR
Keywords
Field
DocType
pushdown automaton,known pspace,one-counter automaton,ptime-completeness result,one-counter process,decidability result,nondeterministic one-counter automaton,lower bound
Transition system,Discrete mathematics,Combinatorics,Nondeterministic algorithm,Upper and lower bounds,PSPACE-complete,Automaton,Decidability,PSPACE,Pushdown automaton,Mathematics
Conference
Volume
ISSN
ISBN
6269
0302-9743
3-642-15374-7
Citations 
PageRank 
References 
10
0.62
27
Authors
3
Name
Order
Citations
PageRank
Stanislav Böhm1508.69
Stefan Göller214815.10
Petr Jančar331520.84