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* a finite set call the alphabet (Σ)
* a transition [[function (mathematics)|function]] (''T'' : (''S'' -{''a''}) × (''S'' - {''s''}) → ''R'')
* a start state (''s'' ∈ ''S'')
* an accept state (''a'' ∈ ''S'')
where ''R'' is the collection of all [[regular expressions]] over the alphabet Σ.
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