For cach language L over a given alphabet E, let (L, E) denote the language over E obtained from L by generating all permutations of its strings-that is, a(L., E) ( we E*: there is a string v in L such that w is a permutation of v ). Specify which one of the following statements is true. Choose None of the other statements is true. The language n((Ob1)*, (0, b,1}) is decidable. The language n((0b1)*, (0, b,1}) is regular. There is no regular language L over an alphabet E such that the language n(L, E) fails to be context-free.

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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For each language L over a given alphabet E, let 1(L, E) denote the language over E obtained
from L by generating all permutations of its strings - that is, r(L, E) -{we E*: there is a
string v in L such that w is a permutation of v ). Specify which one of the following
statements is true.
Choose
None of the other statements is true.
The language r((0b1)*, (0, b,1}) is decidable.
The language n((Ob1)*, (0, b,1}) is regular.
There is no regular language L over an alphabet E such that the language n(L, E) fails to be context-free.
Consider alnhaber E-Lo and context-free grammar G over E with precisely one
Transcribed Image Text:False For each language L over a given alphabet E, let 1(L, E) denote the language over E obtained from L by generating all permutations of its strings - that is, r(L, E) -{we E*: there is a string v in L such that w is a permutation of v ). Specify which one of the following statements is true. Choose None of the other statements is true. The language r((0b1)*, (0, b,1}) is decidable. The language n((Ob1)*, (0, b,1}) is regular. There is no regular language L over an alphabet E such that the language n(L, E) fails to be context-free. Consider alnhaber E-Lo and context-free grammar G over E with precisely one
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