Given an NFA N, prove that there exists an NFA N' with one accept state that recognizes the same language as N.
Any NFA can be converted into a new NFA with only one final state that accepts the same language.
This can be done with the help of epsilon transitions.
Simply create a new final state and connect all the previous final states to it with epsilon transitions.
All the older final states would be regular states now. An example of this is shown in the image.
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Given an NFA N, prove that there exists an NFA N' with one accept state that...
Prove that a language A is regular if and only if there exists an NFA (nondeterministic finite automaton) which recognizes A.
Consider the NFA N with states labeled q1, q2 and q3, where q1 is the start state and q2 and q3 are the final (accepting) states. The transition function for N is δ(q1,a) = {q1}, δ(q1,b) = {q1,q2}, δ(q2,a) = {q3}, δ(q2,b)= ∅, δ(q3,a)= ∅, and δ(q3,b)= ∅. Let L be the language recognized by N i.e. L(N). a) Draw the state diagram for N. b) Describe in plain English what's in the language L. c) Via the construction NFA to...
Submit a JFLAP file containing a two-state NFA that recognizes the language described by (ab ∪ a) ∗
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5. (20 pt.) Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR = {wR W E A} is also regular. Hint: given a DFA M = (Q,2,8,90, F) that recognizes A, construct a new NFA N = (Q', 2,8', qo',F') that recognizes AR and justify why your construction is correct.
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Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...