Let B be the language defined as follows: B = [ www we (a, b}* } Let p be a positive integer and let s denotes the following string over the alphabet (a, b): aPbaPbaPb Assume that s can be split into three pieces, s = ryz, such that |ay
Let B be the language defined as follows: B = [ www we (a, b}* } Let p be a positive integer and let s denotes the following string over the alphabet (a, b): aPbaPbaPb Assume that s can be split into three pieces, s = ryz, such that |ay
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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![Let \( B \) be the language defined as follows:
\[ B = \{ www \mid w \in \{a, b\}^* \} \]
Let \( p \) be a positive integer and let \( s \) denote the following string over the alphabet \(\{ a, b \}\):
\[ a^pba^pbap^b \]
Assume that \( s \) can be split into three pieces, \( s = xyz \), such that \( |xy| \leq p \).
Then which of the following must be true?
- ☐ String \( xy \) must be part of the first substring \( a^p \) of \( s \).
- ☐ String \( y \) contains only symbol \( a \).
- ☐ String \( x \) must be the first substring \( a^p \) of \( s \).
- ☐ \( xz = a^kba^pba^pb \), where \( k=|y| \).
- ☐ String \( y \) contains one symbol \( b \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ec1797f-5dc6-4052-9b23-88db83a80c3f%2F64a12c0b-3b34-4220-9329-035fa7662f37%2Fowpkyg9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( B \) be the language defined as follows:
\[ B = \{ www \mid w \in \{a, b\}^* \} \]
Let \( p \) be a positive integer and let \( s \) denote the following string over the alphabet \(\{ a, b \}\):
\[ a^pba^pbap^b \]
Assume that \( s \) can be split into three pieces, \( s = xyz \), such that \( |xy| \leq p \).
Then which of the following must be true?
- ☐ String \( xy \) must be part of the first substring \( a^p \) of \( s \).
- ☐ String \( y \) contains only symbol \( a \).
- ☐ String \( x \) must be the first substring \( a^p \) of \( s \).
- ☐ \( xz = a^kba^pba^pb \), where \( k=|y| \).
- ☐ String \( y \) contains one symbol \( b \).
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