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Simultaneous transitions in multiple finite state machines can be shown in what is effectively an n-dimensional state transition table in which pairs of rows map (sets of) current states to next states. This is an alternative to representing communication between separate, interdependent state machines.
At the other extreme, separate tables have been used for each of the transitions within a single state machine: "AND/OR tables" are similar to incomplete decision tables in which the decision for the rules which are present is implicitly the activation of the associated transition.
Read more about this topic: State Transition Table
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