Title
Refining the Undecidability Border of Weak Bisimilarity
Abstract
Weak bisimilarity is one of the most studied behavioural equivalences. This equivalence is undecidable for pushdown processes (PDA), process algebras (PA), and multiset automata (MSA, also known as parallel pushdown processes, PPDA). Its decidability is an open question for basic process algebras (BPA) and basic parallel processes (BPP). We move the undecidability border towards these classes by showing that the equivalence remains undecidable for weakly extended versions of BPA and BPP. In fact, we show that the weak bisimulation equivalence problem is undecidable even for normed subclasses of BPA and BPP extended with a finite constraint system.
Year
DOI
Venue
2006
10.1016/j.entcs.2005.11.014
Electr. Notes Theor. Comput. Sci.
Keywords
Field
DocType
process algebra,decidability
Discrete mathematics,Combinatorics,Multiset,Automaton,Decidability,Equivalence (measure theory),Mathematics,Bisimulation equivalence,Undecidable problem
Journal
Volume
Issue
ISSN
149
1
1571-0661
Citations 
PageRank 
References 
1
0.34
16
Authors
3
Name
Order
Citations
PageRank
Mojmír Křetínský1563.62
Vojtěch Řehák2685.99
Jan Strejcek39913.83