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.

Expert Solution

venereology answered 1 year 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.

What makes a deterministic context free grammar deterministic?

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)...

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

Write down a Context Free Grammar with 8 productions including 4 variables and 3 terminals. i....

Write down a Context Free Grammar with 8 productions including 4 variables and 3 terminals. i. Check whether the Context Free Grammar is ambiguous or not. Justify your answer with necessary example. ii. Finally, construct the reduced grammar corresponding to your generated grammar.

Using Kurosch's subgroup theorem for free proucts,prove that every finite subgroup of the free product of...

Using Kurosch's subgroup theorem for free proucts,prove that every finite subgroup of the free product of finite groups is isomorphic to a subgroup of some free factor.

Prove that every bipartite graph G with size m satisfies α prime(G) ≥ m/∆(G).

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