(b) What language is generated by the following grammars? In each case justify your answer.i. s-Os1|0 1ii. S>+SS -SS aiii. S>S(S)S |Eiv. S>a Sb Sjb S a S|Ev. S>a|S+ S|SS|S*|(S)

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Answered: (b) What language is generated by the…

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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Provide the rules for context-free grammars that generate the following languages. L5 = {aibjck | i, j, k ∈ Znonneg, j 6= i + k}
1) Find context-free grammars for the following languages:(a) L = anbn, n is even. (b) L = anbn, n is odd. (c)L = anbn, n is a multiple of three. (d) L = anbn, n is not a multiple of three. 2) Generate the pushdown automata of the following languages.a) {xiyjzj | i,j≥0 }b) {w ∈ {a, b}∗ | w contains at least two a’s }
What language is generated by the following grammars? Is this anambiguous grammars, please justify your answer.
1)Generate the pushdown automata of the following languages.a) {?????? | ?,?≥0 }b) {w ∈ {a, b}∗| w contains at least two a’s } 2) Find context-free grammars for the following languages (with n ≥ 0, m ≥ 0) a) L = {anbm : 2n ≤ m ≤ 3n}.
a) Identify the Following productions whether they are CFG, CSG or Unrestricted Grammar (2)a. abB → bbb. Ac → CCc. A → aAd. Bs → ε b) Construct CSG for the language, L = {1p 2p 3p | where p ≥ 1} c) Construct LBA for the language discussed in PART (b) Please solve the above three parts, Thank you :)
Find context-free grammars for the following languages: L = { anwwRbn: w ∈ {a, b}∗, n ≥ 1 } L = {anbmck: k = n + m}
Find context-free grammars for the following languages (with n ≥ 0, m ≥ 0).(a) L = {anbm : n ≤ m + 3}. (b) L = {anbm : n = m − 1}. (c) L = {anbm : n != 2m}.
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}
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}
Find context-free grammars generating each of the languages below.a. {aibj | i ≤ j}f. {aibj | j < 2i}
This question is about context-free grammars and parsing, and Turing machines (TM’s). Question 1) Consider the following context-free grammar G over the alphabet Σ = {a, b, c}: S → aSb | ε | acSba | abc Using any of the grammar transformation techniques we saw in this module, construct a CNFgrammar that generates the same language as the grammar G of Question 1.Make sure you include in your answer all individual steps that you followed. Please help me with this question :)
Show that the following grammar is ambiguous: S → AB|aaaB, A → a|Aa,B → b. Construct an unambiguous grammar equivalent to the grammar in Exercise 8.

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(b) What language is generated by the following grammars? In each case justify your answer. i. s>OS1|01 ii. S>+SS|- SS a iii. S→S(S)S | E iv. S> a Sb Sjb S a S|E v. S>a|S+S|SS|S*|(S)