Stuttering equivalence
In theoretical computer science, stuttering equivalence,[1] a relation written as



,
can be seen as a partitioning of path and
into blocks, so that states in the
block of one path are labeled (
) the same as states in the
block of the other path. Corresponding blocks may have different lengths.
Formally, this can be expressed as two infinite paths and
which are stuttering equivalent (
) if there are two infinite sequences of integers
and
such that for every block
holds
.
Stuttering equivalence is not the same as bisimulation, since bisimulation cannot capture the semantics of the 'eventually' (or 'finally') operator found in linear temporal/computation tree logic(branching time logic)(modal logic). So-called branching bisimulation has to be used.
References
- ↑ Groote, Jan Friso; Vaandrager, Frits W. (1990). "An efficient algorithm for branching bisimulation and stuttering equivalence". In Paterson, Michael S. Proceedings of the 17th International Colloquium on Automata, Languages and Programming. Lecture Notes in Computer Science 443. Springer-Verlag. pp. 626–638. doi:10.1007/BFb0032063. ISBN 0-387-52826-1.