Explain why every possible directed graph, consisting of a set of < 2" states and a set of directed edges between states, can be expressed in terms of a set X of n Boolean state variables and a transition formula o over X and X' (where the latter has the “next state" variants æ' of the state variables r € X). How do you systematically construct þ for any such given graph?

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Explain why every possible directed graph, consisting of a set of < 2" states and a set of directed edges
between states, can be expressed in terms of a set X of n Boolean state variables and a transition formula
O over X and X' (where the latter has the “next state" variants x' of the state variables x € X). How do
you systematically construct & for any such given graph?
Transcribed Image Text:Explain why every possible directed graph, consisting of a set of < 2" states and a set of directed edges between states, can be expressed in terms of a set X of n Boolean state variables and a transition formula O over X and X' (where the latter has the “next state" variants x' of the state variables x € X). How do you systematically construct & for any such given graph?
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