Let L = (x#y | x and y are bit strings, and x is a permutation of y} (x is a permutation of y means x and y have the same bits, but possibly in a different order.) For example, 0110# 1010 and 100111# 011101 are in the language. 101 # 001 is not (101 is not a permutation of 001) Use the pumping lemma for context free languages to prove L is not 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
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Let L = (x#y | x and y are bit strings, and x is a permutation of y
(x is a permutation of y means x and y have the same bits, but possibly in a different order.)
For example, 0110# 1010 and 100111# 011101 are in the language..
101 #001 is not (101 is not a permutation of 001)
Use the pumping lemma for context free languages to prove L is not context free.
Transcribed Image Text:Let L = (x#y | x and y are bit strings, and x is a permutation of y (x is a permutation of y means x and y have the same bits, but possibly in a different order.) For example, 0110# 1010 and 100111# 011101 are in the language.. 101 #001 is not (101 is not a permutation of 001) Use the pumping lemma for context free languages to prove L is not context free.
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