Prove property (12.3.3).
That there mutually disjoint subsets in the set of states in a finite-state automaton partitioned by the equivalence classes.
For a finite-state automaton, there are equivalence classes for each integer .
Let be finite state automaton that has a set of states . Suppose and are two states of .
If is equivalent to , then the eventual function for an input string that the length is less than or equal .
If is a nonaccepting state is also a nonaccepting state
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