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Fair Simulation for Nondeterministic and Probabilistic Buechi Automata: a Coalgebraic Perspective

Natsuki Urabe ; Ichiro Hasuo.

Notions of simulation, among other uses, provide a computationally tractable and sound (but not necessarily complete) proof method for language inclusion. They have been comprehensively studied by Lynch and Vaandrager for nondeterministic and timed systems; for B\"{u}chi automata the notion of fair&nbsp;[&hellip;]

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Generic Trace Semantics via Coinduction

Ichiro Hasuo ; Bart Jacobs ; Ana Sokolova.

Trace semantics has been defined for various kinds of state-based systems, notably with different forms of branching such as non-determinism vs. probability. In this paper we claim to identify one underlying mathematical structure behind these "trace semantics," namely coinduction in a Kleisli&nbsp;[&hellip;]

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Coalgebraic Infinite Traces and Kleisli Simulations

Natsuki Urabe ; Ichiro Hasuo.

Kleisli simulation is a categorical notion introduced by Hasuo to verify finite trace inclusion. They allow us to give definitions of forward and backward simulation for various types of systems. A generic categorical theory behind Kleisli simulation has been developed and it guarantees the&nbsp;[&hellip;]

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