Please strictly follow the given sequence (1-2-3) in cleaning the CFGS: (2) 1: unnecessary e-productions 2: useless symbols 3: unit productions in the given grammar a) S-> АBА | С A -> S | a | ɛ В -> bВ | b С -> СА b) S-> BC А -> a | b B -> E C -> DE E D-> BAB E -> C c) S-> BC | DaD | b A -> aD | bA | c В -> Cb С -> ав D -> bS | ɛ d) S-> A | B А -> аА | аС В -> bв | bС C-> cdfF D -> g | E E -> h |ɛ F-> DE

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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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Identify the productions of the phrase-structure grammar for each of these languages, where S is the starting symbol. {10n ∣ n ≥ 0} (Check all that apply.) Check All That Apply A) S → 1A, A → 0A, and A → λS → 1A, A → 0A, and A → λ B) S → 1A and A → λS → 1A and A → λ C) S → 0A and A → λS → 0A and A → λ D) S → 1A, A → A0, and A → λ
The following is a grammar for regular expressions over symbols a and b only, using + in place of 1 for union, to avoid conflict with the use of vertical bar as a metasymbol in grammars: a) Left factor this grammar. b) Does left factoring make the grammar suitable for top-down parsing? c) In addition to left factoring, eliminate left recursion from the original grammar. d) Is the resulting grammar suitable for top-down parsing?
Determine the type of the following grammars into the Chomsky Hierarchy(e.g. Type-0, Type-1, Type-2 and Type-3). 4.)G=({x,y}, {C,A,B,S}, S, P),P={S::=Cx, S::=Cy, S::=By, S::=Ax, S::=x, S::=y, A::=Ax, A::=Cx,A::=x,B::=By, B::=yA, C::=xA} 5.)G=({a,b,c}, {S,B}, S, P),P={S::=abc, S::=aBSc, Ba::=aB, Bb::=bb}
Please provide a step-by-step solution, Thank you! Prove or Disprove: The context-free grammar G = ({S, X, Y }, {0, 1}, S, P) where P = {S → XY X, X → 0X | ϵ, Y → 1Y | ϵ} is ambiguous.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Identify the productions of the phrase-structure grammar for each of these languages, where S is the starting symbol. {10n ∣ n ≥ 0} (Check all that apply.) Check All That Apply A) S → 1A, A → 0A, and A → λ B) S → 1A and A → λ C) S → 0A and A → λ D) S → 1A, A → A0, and A → λ
Show the set of first terminals, First(. . .), for each nonterminal in the following CFG:S → W Y | Y ZW → w | y | Y → yY | yZ → W Z | zzExplicitly left-factor the grammar so that the first set of each production’s RHS makes the choiceof production unambiguous with only one token of lookahead.
Determine the type of the following grammars into the Chomsky Hierarchy(e.g. Type-0, Type-1, Type-2 and Type-3). 1.)G=({a,b}, {A,B,S}, S, P),P={S::=aA, A::=bB, A::=aA, A::=a, B::=λ} 2.)G=({a,b,c}, {A,B,C,S}, S, P),P={S::=aAb, S::=Ba, S::=λ, aAbC::=aAbB, aAbC::=aabC, BCc::=AaCc,BCc::=BaAbc, C::=Ca, C::=a} 3.)G=({ house, garden, cat}, {S, CASTLE, FOREST, TIGER }, S, P),P={ S::=TIGER garden, S::=FOREST CASTLE, FOREST::=λ, gardenCASTLE TIGHER house::=garden FOREST TIGER house, catCASTLE FOREST::=cat FOREST house TIGER FOREST,FOREST::=TIGER house, FOREST::=garden } 4.)G=({x,y}, {C,A,B,S}, S, P),P={S::=Cx, S::=Cy, S::=By, S::=Ax, S::=x, S::=y, A::=Ax, A::=Cx,A::=x,B::=By, B::=yA, C::=xA} 5.)G=({a,b,c}, {S,B}, S, P),P={S::=abc, S::=aBSc, Ba::=aB, Bb::=bb}
Convert the following context-free grammar into an equivalent context-free grammar in Chomsky Normal Form S → XXX | YYYX → Xa | bX | eY → Yc | YXc
Please help WIth clear explanation Prove that given below grammar is amabiguous.
Draw an NFA accepting the language generated by the grammar with productions. S -> abA | bB | aba A -> b | aB | bA B -> aB | aA **Please do not use the "Introduction to Languages and the Theory of Computation (4th Edition)" answers from Chegg or another source as they do not provide any further detail as to how to build the NFA from start to finish with reasoning.**
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Identify the productions of the phrase-structure grammar for each of these languages, where S is the starting symbol. The set of all strings containing 10 or more 0s and no 1s Multiple Choice A) S → A000000000, A → 0A, and A → λ B) S → 00000A000000 and A → λ C) S → 0000000000A, A → 0A, and A → λ
Consider the following grammar and perform required tasks; S -> aA | abS A -> BB | CAC B -> bB | Ɛ C -> aC Eliminate all ϵ-productions. Eliminate all unit productions from the resulting grammar in part a. Eliminate all useless symbols from the resulting grammar in b. Put the resulting grammar in c) in Chomsky Normal Form.