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Myphill Nerodedoes the following:(a) Minimization of DFA(b) Tells us exactly when a language is regular(c) Both (a) and (b)(d) None of the mentionedThis question was posed to me by my college professor while I was bunking the class.This is a very interesting question from Properties-Non Regular Languages topic in chapter Regular Expressions and Languages of Automata Theory

Answer»

Correct option is (C) Both (a) and (b)

To explain: In automata theory, the Myphill Nerode THEOREM provides a necessary and SUFFICIENT CONDITION for a language to be regular. The Myphill Nerode theorem can be used to show a language L is regular by proving that the number of equivalence CLASSES of RL(relation) is finite.



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