Reverse Bisimulations on Stable Configuration Structures

Iain Phillips
(Imperial College London)
Irek Ulidowski
(University of Leicester)

The relationships between various equivalences on configuration structures, including interleaving bisimulation (IB), step bisimulation (SB) and hereditary history-preserving (HH) bisimulation, have been investigated by van Glabbeek and Goltz (and later Fecher). Since HH bisimulation may be characterised by the use of reverse as well as forward transitions, it is of interest to investigate forms of IB and SB where both forward and reverse transitions are allowed. We give various characterisations of reverse SB, showing that forward steps do not add extra power. We strengthen Bednarczyk's result that, in the absence of auto-concurrency, reverse IB is as strong as HH bisimulation, by showing that we need only exclude auto-concurrent events at the same depth in the configuration.

In Bartek Klin and Paweł Sobociński: Proceedings Sixth Workshop on Structural Operational Semantics (SOS 2009), Bologna, Italy, August 31, 2009, Electronic Proceedings in Theoretical Computer Science 18, pp. 62–76.
Published: 15th February 2010.

ArXived at: bibtex PDF

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