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

To solve this problem, we will first address each of the languages separately by creating the…

Answered: 1. For each of the following languages…

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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subject theory of computer science Consider the following grammar G = {S, A}, S = {S}, ∑ = {a, b}, P : S → aS | aA; A → bA | b; Which of the following regular expression denotes L(G)? A.a(ab)*b B.a*b* C.aa*bb D.a*ab*b
Give a Chomsky normal form grammar for the set A = {w∈{a,b}^+ | #a(w) = #b(w)}. Recall the symbol + means "1 or more copies" as opposed to the * symbol that means "0 or more copies". Here, set A is non-null strings with an equal number of a's and b's.
Let { a b } be the alphabet set. Write a Context free grammar CFG for each of the followinglanguages:a) L = Language of all palindromeb) L = language of equal no of a’s and b’c) { \ m ≠ n, m, n ∈ N}d) R.E. = b(a+b)*e) R.E. = (ab + b)*f) R.E. = ab(ba)* + bb please solve all the parts kindly
Let G = (V, E, R, S) be a grammar with V= {S, H, Gm J}; = {h, g. j}; and the set of rules: H>h | hJG G> Gg | Sg | HgJ J→ jH | HHJ| Jj Convert this grammar to a PDA using the method we described.
Let Σ = {0, 1,#}. Show that the following language over Σ is not context-free: {x#y#z: x,y,z = {0,1}* and bin(x) + bin(y) = bin (z)}
Given the following CFG A → A+B A+ A-B A R R⇒ R/B R→ R*B Rarit B-> (A)|r|t a. Eliminate left recursion and backtracking and write the new grammar.. b. Write the FIRST and FOLLOW sets for A, B, and R.,
Give a context-free grammar for each of the following languages. a. L={a'b" In, m, k 20 and n = 2m + 3k}. b. L= {0"1"0"1" |n, m 20}.
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Find a context-free grammar for each of the following languages over the alphabet {a, b}. (N: the natural number set) a. {anb2n | n ∈ N U {0}} U {an+2bn | n ∈ N} b. {ambn | m, n ∈ N, and n > m}.
Give context free grammar for the following :
Subject : Theory of computing
Remove immediate left recursion from the following grammar: I. 4. G(N,TP.S): N= {S,A,B,C} T= {a,b,c,d,e,fh.g.k} S= {S} P: S- ScbaA | SdbaA SebaA | ABC A Ad | Ae | Bc B- aC | aB C- Cf | Cg | hk | ɛ %3D

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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)}.

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)}.