The language L = { 1" | n is not a prime number} is a regular language.Ο Τ OFGiven two languages L₁ and L₂ such that L₁ L₂ ‡ Ø and L₁ 0 L₂ = L₂ 0 L₁, thenL₁ = L2.Ο ΤΟ FFor every regular language L, there exists a GNFA with 42 states that recognizes L.Ο Τ OFUnion of two nonregular languages is nonregular.Ο ΤFGiven a language L, the half strings of the language L, denoted by Lhalfis defined asLhalf = {x|y, |x| = |y|, xy € L}. If L is nonregular, then Lhalf is nonregular.Ο ΤO FIntersectionΟ Τof two nonregular languages is nonregular.OFGiven the alphabet Σ = {0, 1}, let Leq,01,10 = {w/w € Σ* such that w contains an equalnumber of occurrences of the substrings 10 and 01}. The Language Leq,01,10 is regular.Ο Τ OFIf languages L₁ and L₁ U L₂ are regular, then L₂ is regular.Ο ΤΟ FGiven a language L, Lrev is the collection of the reverse of the strings in L. A language issaid to be palindrome language if L = Lrev. All palindrome languages are non-regular.Ο ΤOFIntersection of infinitely many regular languages is also regular.Ο Τ OF

Answered: The language L = { 1" | n is not a…

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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Question

The language L = { 1" | n is not a prime number} is a regular language.
Ο Τ OF
Given two languages L₁ and L₂ such that L₁ L₂ ‡ Ø and L₁ 0 L₂ = L₂ 0 L₁, then
L₁ = L2.
Ο Τ
Ο F
For every regular language L, there exists a GNFA with 42 states that recognizes L.
Ο Τ OF
Union of two nonregular languages is nonregular.
Ο Τ
F
Given a language L, the half strings of the language L, denoted by Lhalfis defined as
Lhalf = {x|y, |x| = |y|, xy € L}. If L is nonregular, then Lhalf is nonregular.
Ο Τ
O F
Intersection
Ο Τ
of two nonregular languages is nonregular.
OF
Given the alphabet Σ = {0, 1}, let Leq,01,10 = {w/w € Σ* such that w contains an equal
number of occurrences of the substrings 10 and 01}. The Language Leq,01,10 is regular.
Ο Τ OF
If languages L₁ and L₁ U L₂ are regular, then L₂ is regular.
Ο Τ
Ο F
Given a language L, Lrev is the collection of the reverse of the strings in L. A language is
said to be palindrome language if L = Lrev. All palindrome languages are non-regular.
Ο Τ
OF
Intersection of infinitely many regular languages is also regular.
Ο Τ OF

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Step 1

There is one language given as follows,

L = {1^n | n is not a prime number}

We need to check that the given statement about this language is true or false.

Statement: L is a regular language.

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