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Question

Let L be a Deterministic CFL over an alphabet Î£. Let L1 = {w : wa âˆˆ L, for some a âˆˆ Î£} and L2 = {w : aw âˆˆ L for some a âˆˆ Î£}. Only one of L1 and L2 is guaranteed to be a DCFL. Which one? Explain your answer. 2. Corrected_text: Given any CFG G = (V, T, S, P), show how to construct a grammar G' such that L(G') = L(G)R. Explain your answer. 3. Corrected_text: Convert the following grammars to push-down automata using the standard procedure: (a) S â†’ aABB | aAA A â†’ aBB | a B â†’ bBB | A (b) S â†’ aSb | bSa | ab | ba Title_with_topic: 1. Deterministic CFL and DCFL 2. Construction of Grammar G' from CFG G 3. Conversion of Grammars to Push-Down Automata

          Let L be a Deterministic CFL over an alphabet Î£. Let L1 = {w : wa âˆˆ L, for some a âˆˆ Î£} and L2 = {w : aw âˆˆ L for some a âˆˆ Î£}. Only one of L1 and L2 is guaranteed to be a DCFL. Which one? Explain your answer.

2. Corrected_text: Given any CFG G = (V, T, S, P), show how to construct a grammar G' such that L(G') = L(G)R. Explain your answer.

3. Corrected_text: Convert the following grammars to push-down automata using the standard procedure:
(a) S â†’ aABB | aAA
    A â†’ aBB | a
    B â†’ bBB | A
(b) S â†’ aSb | bSa | ab | ba

Title_with_topic: 
1. Deterministic CFL and DCFL
2. Construction of Grammar G' from CFG G
3. Conversion of Grammars to Push-Down Automata

Added by Courtney D.

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