2006•Unpublished venueOpen access

Bisimulation as congruence in the behavioral setting

A. Agung Julius, Arjan van der Schaft

Abstract

We cast the notion of bisimulation in the Willems' behavioral setting. We show that in this setting, bisimulation is also a congruence, as it is known in the field of concurrent processes. Bisimulation is a congruence means if A and A′ are bisimilar systems, then A ∥ B and A′ ∥ B are also bisimilar. Here, the operator ∥ denotes systems composition, and B is any other system that is composed with A or A′.

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Key concepts: Bisimulation, Congruence (geometry), Operator (biology), Mathematics, Field (mathematics), Concurrency, Discrete mathematics, Computer science