Algebraic laws for nondeterminism and concurrency
Journal of the ACM (JACM)
Three partition refinement algorithms
SIAM Journal on Computing
CCS expressions finite state processes, and three problems of equivalence
Information and Computation
Deciding history preserving bisimilarity
Proceedings of the 18th international colloquium on Automata, languages and programming
The linear time-branching time spectrum (extended abstract)
CONCUR '90 Proceedings on Theories of concurrency : unification and extension: unification and extension
Undecidable equivalences for basic process algebra
Information and Computation
On the computational complexity of bisimulation
ACM Computing Surveys (CSUR)
Handbook of logic in computer science (vol. 4)
Theoretical Computer Science - Special volume on Petri nets
Bisimulation equivalence is decidable for all context-free processes
Information and Computation
Deciding true concurrency equivalences on safe, finite nets
ICALP Selected papers of the twentieth international colloquium on Automata, languages and programming
A polynomial algorithm for deciding bisimilarity of normed context-free processes
Theoretical Computer Science
A Calculus of Communicating Systems
A Calculus of Communicating Systems
Games and logics for a noninterleaving bisimulation
Nordic Journal of Computing
Equivalence Notions for Concurrent Systems and Refinement of Actions (Extended Abstract)
MFCS '89 Proceedings on Mathematical Foundations of Computer Science 1989
On Plain and Hereditary History-Preserving Bisimulation
MFCS '99 Proceedings of the 24th International Symposium on Mathematical Foundations of Computer Science
Controllers for Discrete Event Systems via Morphisms
CONCUR '98 Proceedings of the 9th International Conference on Concurrency Theory
Concurrency and Automata on Infinite Sequences
Proceedings of the 5th GI-Conference on Theoretical Computer Science
Higher Dimensional Transition Systems
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
Hereditary History Preserving Bisimulation Is Decidable for Trace-Labelled Systems
FST TCS '02 Proceedings of the 22nd Conference Kanpur on Foundations of Software Technology and Theoretical Computer Science
Regular Event Structures and Finite Petri Nets: The Conflict-Free Case
ICATPN '02 Proceedings of the 23rd International Conference on Applications and Theory of Petri Nets
Open Maps and Observational Equivalences for Timed Partial Order Models
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P 2003)
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History preserving bisimilarity (hp-bisimilarity) and hereditary history preserving bisimilarity (hhp-bisimilarity) are behavioural equivalences taking into account causal relationships between events of concurrent systems. Their prominent feature is being preserved under action refinement, an operation important for the top-down design of concurrent systems. We show that--unlike hp-bisimilarity--checking hhpbisimilarity for finite labelled asynchronous transition systems is not decidable, by a reduction from the halting problem of 2-counter machines. To make the proof more transparent we introduce an intermediate problem of checking domino bisimilarity for origin constrained tiling systems, whose undecidability is interesting in its own right. We also argue that the undecidability of hhp-bisimilarity holds for finite labelled 1-safe Petri nets.