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## Bisimulation for probabilistic transition systems: A coalgebraic approach

Resource type

Authors/contributors

- de Vink, E. P. (Author)
- Rutten, J. J. M. M. (Author)
- Degano, Pierpaolo (Editor)
- Gorrieri, Roberto (Editor)
- Marchetti-Spaccamela, Alberto (Editor)

Title

Bisimulation for probabilistic transition systems: A coalgebraic approach

Abstract

The notion of bisimulation as proposed by Larsen and Skou for discrete probabilistic transition systems is shown to coincide with a coalgebraic definition in the sense of Aczel and Mendier in terms of a set functor. This coalgebraic formulation makes it possible to generalize the concepts to a continuous setting involving Borel probability measures. Under reasonable conditions, generalized probabilistic bisimilarity can be characterized categorically. Application of the final coalgebra paradigm then yields an internally fully abstract semantical domain with respect to probabilistic bisimulation.

Date

1997

Proceedings Title

Automata, Languages and Programming

Place

Berlin, Heidelberg

Publisher

Springer

Pages

460-470

Series

Lecture Notes in Computer Science

Language

en

DOI

10/fcqzmk

ISBN

978-3-540-69194-5

Short Title

Bisimulation for probabilistic transition systems

Library Catalog

Springer Link

Extra

ZSCC: NoCitationData[s1]

Citation

de Vink, E. P., & Rutten, J. J. M. M. (1997). Bisimulation for probabilistic transition systems: A coalgebraic approach. In P. Degano, R. Gorrieri, & A. Marchetti-Spaccamela (Eds.),

*Automata, Languages and Programming*(pp. 460–470). Berlin, Heidelberg: Springer. https://doi.org/10/fcqzmk
MODEL CHECKING AND STATE MACHINES

PROBABILITY & STATISTICS

PROGRAMMING LANGUAGES

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