Assume that G is a ContextFree Grammar as the 4-tuple(V,T,S,P) where V={S,A,B} set ofnon-terminal symbols, T={ab}set of terminal symbols, and Sis the start symbol, and P is theset of the production rules.Select the correct statement(s).P is defined as {X→Y: suchthat XEV, YE(VUT)* }P is defined as {X→Y: suchthat XEV, YE(VUT)* }☐ {S→ε} can not be a subsetof P.]{S→Aa|AB|bA} can be asubset of P.

Option 1. P is defined as {X Y: such that X V. Y (V T)+ } (V T)+ defines one or more…

Answered: Assume that G is a Context Free Grammar…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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1. Given the following Context Free Grammar, show the derivation for the following strings. -> = ; -> -> -> ; -> x -> y -> z -> + -> * -> - -> 1 | 2 | 3 | 4 |5 | 6 | 7 | 8 | 9 | 0 String to be derived: x = x +y 2 - z 2. Show a left-derivation for the following grammar based on the for the string aaaab 1. S→ AB 2. А> ааA 4. В > ВЬ 3. А >1 5. В >1 3. Consider CFG G = ({S}, {a, b, c}, R, S) where R = {S > Sbbs | SacS | a}. Show how the %3D string abbaacabba 4. What cause ambiguity?
Select the Context Free Grammar below that is in the form of Chomsky Normal Form. G=( {S,a,b}, {0,1}, S, {S0b|1a, a0|OS|1aa, b➡1|1s|Obb}) ☐ G=( {S,a,b}, {0,1}, S, {Sab|1, a0|1|Sa, b→1|bs}) ☐ G=( {S,A,B}, {a,b}, S, {S AB|bA, Aa|b|SB, B→a|SB}) ☐ G=( {S,A,B}, {a,b}, S, {S-BB|b, A➡a|b|SS, B→a|SA})
3. Feature grammars, semantics (a) Consider the following context-free grammar: S + NP VP VP → VNP NP → he she | him | her → likes V Augment this grammar to become a unification-based (feature-based) grammar, by adding a 'case' feature, and constraints to enforce case agreement, to restrict the language to only those sentences that are correct English. You can use the notation used in the lectures or the notation of NLTK.
1. Prove that the language L(G) is not regular where G is the following context-free grammar: G = ({S,A,B,C}, {a,b}, {S->bB|C, A>b|C, B->Sb, C->aAa }, S). Note: You must first determine L(G).
Context Free Grammar State whether it is ambiguous or unambiguous. If it is ambiguous give an equivalent unambiguous grammar. If it is unambiguous, state all the precedences and associativities enforced by the grammar. 1. <S > -> <S > - <T > | <T > - <S > | <T ><T > -> N + <T > | N | ( <S >)
Question 2-Context-free Grammars Consider the alphabet = {A, V., (,), x, y, z) and the following grammar G = (V,E, R, F), defined by the rules: F (FAF) | (FVF) | (F) | P (a) Identify the set of variables and the set of terminal symbols of G. (b) Identify three words (of lengths between 10 and 20) that can be generated by the above grammar and show their derivations. (c) Consider a modified grammar G', where we remove the brackets '(' and ')' from the alphabet and the derivation rules. That is we set Σ'= {A, V., x, y, z) and we remove all occurrences of brackets in the derivation rules. Show that there are words that are derived ambiguously in G'
NAT Lang processing: Please explain in detail Consider a CFG representing a phrase structure grammar for a natural language such as English, including the following rule (the period is part of the rule): S -> NP VP . In this rule, S, NP, and VP are non-terminal symbols, but we will assume that the period is a terminal symbol specifically representing a period (as opposed to some other end-of-sentence marker). So, we can interpret this rule as stating that a sentence can have the form of a noun phrase followed by a verb phrase followed by a period. (To implement a parser for grammars with rules like this, the tokenizer would have to treat periods as separate tokens.) Assume that you need to convert this grammar to Chomsky normal form (CNF), perhaps with the CKY parsing algorithm in mind. Using the procedure discussed in class, show the rules that might result from the conversion.

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