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Strong Bisimulation

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<strong>Bisimulation</strong> - a Board Game<br />

Checking the equivalence of interactive systems can be<br />

considered a board game between two persons, the<br />

“unbeliever”, who thinks that S1 and S2 are not<br />

equivalent, and the “believer”, who thinks that S1 and<br />

S2 are equivalent.<br />

The underlying strategy of this game is that the<br />

(demonic) unbeliever is trying to perform transitions,<br />

which the cannot be matched by the (angelic) believer.<br />

The unbeliever loses if there are no transitions left for<br />

either systems, whereas the believer loses, if he<br />

cannot match a move made by the unbeliever.<br />

43

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