1. For each of the following languages over Σ = {a, b}, write a regular grammar and then convert it into an equivalent NFA. a) L(r) where r = ((a+b)(a + b))*b+a((a + b)(a + b))*; and b) {w = {a, b}*: w ends in a and [w] = 1 (mod 3)}.

Q: 2. Convert the following CFG into CNF: [Show all 4 steps] → aSb | bY | BYC Y → bY | eps В — аС С — В

A: Since you have asked multiple questions, according to the company's policy we will solve only one…

Q: Provide the rules for context-free grammars that generate the following languages. L5 = {aibjck |…

A: Context-free grammars are formal systems used to describe languages in a structured manner. In this…

Q: )Strings that begin and end with the same symbol 2)The shortest length string is 1 3) All even…

A: Here the regular expression accepted string is b(a+b)*b + a(a+b)*a. Thus string start and ends with…

Q: Consider the language L generated by the following grammars G, S→AB | AA; A→BB | a; B→AB | b. Use…

A: Given grammar is, S->AB | AA A->BB | a B->AB | b Given string is: w= "babab"

Q: 2. Give context-free grammars generating each of the following languages over Σ = {0, 1}: a. {w: w…

A: Here, we are given few context free languages and we are asked to give context free grammars. First,…

Q: Consider the following grammar: S → O U U → + S | ε O →  ( S ) | int G G →  * O | ε Show the…

A: Instructions: Initialize the stack with the starting terminal and put a “$” symbol. In the input…

Q: Write a grammar for the following language. This language consists of strings that have n copies of…

A: Grammar : can be defined as the set of rules defined by the language.                   Grammar is a…

Q: Let E = {a, b, d}. Let L = {d'a'b | i > 0}. Give a context free grammar (CFG) that generates L. %3D

A: We are going to derive the context free grammar for the given language.  First we will try to…

Q: 2. Let the Following Grammar be S-> S+S| DRT | (S)| A A-> B| al c| MG| e F-> A| TYU|G B-> d| r| e…

A: Given grammar is: S→S+S|DRT|(S)|AA→B|a|c|MG|εF→A|TYU|GB→d|r|εQ→RTY|GHT a. Given string is w=d+(a+r)…

Q: Make a Context free Grammar of L = {ε, uS, uSuS, uSuSuS, .........}

A: Given, L = {ε, uS, uSuS, uSuSuS, .........} A Context-Free Grammar is defined as a 4 tuple structure…

Q: (b) L2 = {a"b"&d' :n + m = k +l} {a"b"c*d' :n+ m = k + l}

A: A context-free grammar (CFG) consisting of a finite set of grammar rules is a quadruple (N, T, P, S)…

Q: Give a context-free grammar for each of the following languages. a. L={a"b"c* In, m, k >0 and n =…

A: Given:

Q: Let G = (V. E, P, S) be a context-free grammar in which SS only when n = 0. G is an LR(k) grammar (k…

A: explaination given as:

Q: Let G = (V, E, R, S) be a grammar with V = {S, H, Gm J}; E = {h, g, j}; and the set of rules: %3D…

A: Overview : Automata Theory is a branch of computer science that deals with designing abstract…

Q: CFG Assignment(at least 2 strings must be derive to prove each CFG 1(11)* (00)*(11)*1…

A: CFG stands for context-free grammar. It is used to produce all viable patterns of strings in a given…

Q: Convert the following grammar in non left recursive form - E->E+E|E*E|-E|(E) |id

A: Left Recursion: Any production in given grammar is said to be left recursive if its left-most…

Q: Find a grammar that generates language L = {a"bm,m > n,n 2 0 }

A: L= { a^n b^m, m>n,n>=0}m>n means number of 'b' should be greater than a number of 'a'.

Q: (c) Answer the following for the context-free grammar G: G: SABBA AaAble B→aBlb Give two strings…

A: Here are two strings that can be generated from the given context-free grammar G, along with their…

Q: Find a context-free grammar for the following languages: a) L = {a"b™where n = m -1 and n 2 0 and m…

A: A grammar contain a context free grammar then it must be a context free language. Context free…

Q: Q4: Let Σ = {0, 1, #} and define a language B over Σ as follows: B = {r#s: r,s = {0, 1}^*, r is a…

A: The task is to prove that the given language is not context free.Given :Σ = {0, 1, #} Language…

Q: nguage L =

A:

Q: b. Begin with the grammar G ({a, b}, {S, A, B, D, E}, 8, S) 8 = {S→ ABb | AB A→ aA | Db | a| ɛ B→…

A: The CFGs into Chomsky Normal Form(CNF)

Q: (i) (01 + 001 + 010)* (ii) (0 + 1)*010 (iii) 0(10)*1 Give an equivalent regular grammar for all the…

A: Take here S is generator of string given by regular expression. S -> 01S | 001S | 010S |   where…

Q: Assumptions ...   Alphabet = {a, b}   • L1 = { a"b" : n ≥ 0 ^ n mod 3 = 0}   L2 = {anbm : n ≥…

A: Note: i cannot upload the file here i will provide you solution and explanation

Q: Qn.5 Let G = (V = {S,T},£ = {a,b}, P, S) be a context-free grammar, whose productions P are defined…

A: Given that, G=(v={S,T}, ∑={a,b}, P,S} is a context free grammar Productions of the grammar are:…

Q: Find a context-free grammar for each of the following languages over the alphabet {a, b}. (N: the…

A: Context-free grammar  (CFG) is a formaL sentence structure which is utilized to produce every one of…

Q: Write the context-free grammars for the following languages. 1. The set of strings of a's and b's…

A: as you asked for context-free grammar for given grammer now let's see the solutation of given…

Q: Q No. 3: Grammar G1 = (N = { E, T, F, I, D}, T = { +, *, (, ), 0-9}, S = {E} and P is the set of…

A: In computer science, a production rule is a rewrite rule that specifies a symbol replacement which…

Q: Let E = {0,1, 2, 3}. Write a grammar that generates the language: L = {w2" 3m wR:w E {0, 1}"and n >…

A: Given: ∑ = {0,1,2,3} Language L = {w2n3mwR:w ∈ {0,1}+ ans n>m≥0}