Prove that if G is a context-free grammar in which every variable occurs on the left...

Prove that if G is a context-free grammar in which every variable occurs on the left side of at most one production, then G is unambiguous.

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venereology answered 2 years ago

Let G = (AN , AT , S, P) be a context-free grammar in Chomsky normal...

Let G = (AN , AT , S, P) be a context-free grammar in Chomsky normal form. Prove that if there exists a word w ∈ L(G) generated by a derivation that uses more than |P| + |AT | steps, then L(G) is infinite.

Consider the context-free grammar G = ( {S}, {a, b}, S, P) where P = {...

Consider the context-free grammar G = ( {S}, {a, b}, S, P) where P = { S -> aaSb | aab }. Construct a NPDA M that such that L(M) = L(G). I would like the transition graph for this NPDA please.

Let G be any context-free grammar. Show that the number of strings that have a derivation...

Let G be any context-free grammar. Show that the number of strings that have a derivation in G of length n or less, for any n > 0, is finite. Could you please answer with clear explanation. The question is from Elaine Rich's Automata, Computability and Complexity Chapter 11 Exercise 14.

What makes a deterministic context free grammar deterministic?

Find Consider the following context-free grammar G: S --> T#T T --> C A --> aA...

Find Consider the following context-free grammar G: S --> T#T T --> C A --> aA | epsilon B --> bB | epsilon C --> cC C --> c a) Give the set of unproductive symbols in G? b) Give an equivalent grammar without useless symbols.

Consider the following context-free grammar G: E ® T + E ® * T i E...

Consider the following context-free grammar G: E ® T + E ® * T i E ® f i E ® * f + T ® + Questions: (5 points) Compute the Canonical LR(1) Closure set for state I0 for grammar G. (10 points) Compute (draw) the DFA that recognizes the Canonical LR(1) sets of items for grammar G. (5 points) Construct the corresponding Canonical LR(1) parsing table. (10 points) Compute (draw) the DFA for LALR(1). (5 points) Construct LALR(1)...

For each of the following grammars, first classify the grammar as Regular, Linear, Context-Free or Context-Sensitive,...

For each of the following grammars, first classify the grammar as Regular, Linear, Context-Free or Context-Sensitive, and then precisely describe the language generated by the grammar. (1) S → aRa R → aR | bR | є (2) S → A | B A → aaaA | є B → Bbb | b (3) S → RbR R → aRb | bRa | RR | bR | є (4) S → aSbSaS | aSaSbS | bSaSaS | є (5)...

Prove the following Closure Properties with respect to Context Free Languages. 1. Show that Context Free...

Prove the following Closure Properties with respect to Context Free Languages. 1. Show that Context Free Languages are Closed under union(∪), concatenation(·), kleene star(*). (Hint: If L1 and L2 are Context Free languages then write Context Free grammar equivalent to L1 ∪ L2, L1 · L2, L∗ 1 ) 2. Show that if L1 and L2 are Context Free Languages, then L1 ∩ L2 is not necessarily Context Free. (Hint: Use Proof by Counter Example)

Give a context-free grammar for {w ∈ {b, c}∗| #c(w) = #b(w)}.

prove or disprove: every coset of xH is a subgroup of G

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