(Variations of acceptance) Recall that an NFA accepts string w iff some computation on input w ends in an accepting state. Consider the following variation of NFA acceptance: Accept w if and only if at least two distinct computations on w end in accepting states. (A computation on input w is a sequence of transitions beginning from the start state whose labels spell string w.) Prove that the language accepted by this variant remains regular by providing an algorithm for converting any such NFA variant to a DFA that accepts the same language.

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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(Variations of acceptance)
computation on input w ends in an accepting state. Consider the following variation of
NFA acceptance: Accept w if and only if at least two distinct computations on w end in
accepting states. (A computation on input w is a sequence of transitions beginning from
the start state whose labels spell string w.) Prove that the language accepted by this
variant remains regular by providing an algorithm for converting any such NFA variant
to a DFA that accepts the same language.
Recall that an NFA accepts string w iff some
Transcribed Image Text:(Variations of acceptance) computation on input w ends in an accepting state. Consider the following variation of NFA acceptance: Accept w if and only if at least two distinct computations on w end in accepting states. (A computation on input w is a sequence of transitions beginning from the start state whose labels spell string w.) Prove that the language accepted by this variant remains regular by providing an algorithm for converting any such NFA variant to a DFA that accepts the same language. Recall that an NFA accepts string w iff some
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