Given states s and t in a finite-state automaton A, s is 0-equivalent to t if, and only if, either both s and t are or both are . Moreover, for every integer is k-equivalent to t if, and only if, (1) s and t are -euivalent and (2) .
The condition that finite-state automaton , should satisfy to be sand are equivalent where the eventual function is and are states in .
Given are two states for a finite-state automaton .
Consider two states in the finite-state automaton .
Let be an accepted string by the automaton,
When is equivalent, we can observe that the length of the string is less than or equal to
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