(Solved) : 1 Consider Following Method Convert Dfa Cfg Let M Q S F Dfa Construct Cfg G Nonterminals A Q35420174 . . .
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1. Consider the following method to convert a DFA to a CFG. Let M-Q.Σδ’s, F) be a DFA. Construct a CFG G with: nonterminals {Aq I q E Q} > starting nonterminal As, production rules A, cAq I δ(p, c)-qJU {Ap E l p E F} (a) Using induction on lwl, prove that δ”(s, w)-q in the DFA if and only if As-wAq in the CFG. Then prove that L(M) L(G), hence the conversion from DFA to CFG is correct. (b) Draw the DFA that identifies multiples of 3 in binary. Give names to the states, and then show the CFG that you get when converting this DFA using the approach above Note: You may wish to recall the recursive definition ofS* def when b is a single character and the recursive definition of-> -α-> α, for all α if α-> ßXy, and X δ is a production rule, then α βόγ Show transcribed image text
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Answer to 1 Consider Following Method Convert Dfa Cfg Let M Q S F Dfa Construct Cfg G Nonterminals A Q35420174 . . .
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