What makes a deterministic context free grammar deterministic?

Expert Solution

venereology answered 1 year ago

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)...

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.

Give an example of a non-regular Context-Free Language that can be recognize by a Deterministic Pushdown...

Give an example of a non-regular Context-Free Language that can be recognize by a Deterministic Pushdown automata and one that cannot.

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.

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

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.

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.

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)...

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