Show that the following languages are not regular: { www | w is any string over E} with E= { a, b } • {x=y+z ] x, y and z are binary integers, and x is the sum of y and z } with E= {0, 1, +, = } • a®b"a® | m, n are non-negative integers } with E= { a, b } • {w |w is a string over E that is not a palindrome } with E= { a, b }

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
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Show that the following languages are not regular:

  • { www | w is any string over S} with S= { a, b }
  • { x=y+z | x, y and z are binary integers, and x is the sum of y and z } with S= { 0, 1, +, = }
  • { anbman | m, n are non-negative integers } with S= { a, b }
  • {w | w is a string over S that is not a palindrome } with S= { a, b }

Ps: I try to copy paste question, but still not clear. so I upload a pic of the question.

Show that the following languages are not regular:
{ www | w is any string over E} with E= { a, b }
• {x=y+z ] x, y and z are binary integers, and x is the sum of y and z } with E= {0, 1, +, = }
• a®b"a® | m, n are non-negative integers } with E= { a, b }
• {w |w is a string over E that is not a palindrome } with E= { a, b }
Transcribed Image Text:Show that the following languages are not regular: { www | w is any string over E} with E= { a, b } • {x=y+z ] x, y and z are binary integers, and x is the sum of y and z } with E= {0, 1, +, = } • a®b"a® | m, n are non-negative integers } with E= { a, b } • {w |w is a string over E that is not a palindrome } with E= { a, b }
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