Exam 13: A: Modeling Computation

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Find all strings recognized by this deterministic finite-state automaton. Find all strings recognized by this deterministic finite-state automaton.

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determine the output for each input string, using determine the output for each input string, using   -1111 -1111

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Find the language recognized by this nondeterministic finite-state automaton. Find the language recognized by this nondeterministic finite-state automaton.

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Let A={0,11} . Find A3 .

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Find a production of the form "A → ____" such that S → 0A, A → ____ produces {00}.

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Consider the Turing machine T : (s0,0,s1,1,R),(s0,1,s1,1,R),(s1,0,s0,1,L),(s1,1,s0,0,R),(s0,B,s1,1,R)\left( s _ { 0 } , 0 , s _ { 1 } , 1 , R \right) , \left( s _ { 0 } , 1 , s _ { 1 } , 1 , R \right) , \left( s _ { 1 } , 0 , s _ { 0 } , 1 , L \right) , \left( s _ { 1 } , 1 , s _ { 0 } , 0 , R \right) , \left( s _ { 0 } , B , s _ { 1 } , 1 , R \right) For the following tape, determine the final tape when T halts, assuming that T begins in state s0 at the leftmost nonblank symbol. \@cdots 1 1 0 \@cdots

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Find the Kleene closure of A={00} .

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