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Bisimulation and Model-Checking for Partial Order Models of Concurrency

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In this talk I will present some results on logics and games used to study the bisimulation and model-checking problems for various partial order models of concurrency, which include Petri nets and event structures. In particular I will present: a number of mu-calculi (in this case, fixpoint extensions of modal logic) that, in certain classes of systems, induce the same identifications as some of the standard bisimulation equivalences for concurrency; secondly, a family of (infinite) higher-order logic games for verification where the players of the games are given (local) monadic second-order power on the sets of elements they are allowed to play. And, finally, a new order-theoretic concurrent game model where bisimulation and model-checking can be studied in a uniform way.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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