Question 3. Consider the language L = {w€ {0, 1}* | the strings 01 and 10 occur the same number of times in w}. Is this language regular or non-regular? Prove by building a DFA (if regular) or using the pumping lemma (if non-regular)

Question 3. Consider the language L = {w€ {0, 1}* | the strings 01 and 10 occur the same number of times in w}. Is this language regular or non-regular? Prove by building a DFA (if regular) or using the pumping lemma (if non-regular)

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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on A language L is called slithy if it contains at least two strings and has the following property: For every two strings x, y in L such that |x|< lyl, the string obtained by taking the first letter of y and inserting it at the start of x is also in L. For example, if L contains aaa and baaba, then it must also contain the string baaa. Prove by contradiction that every slithy language contains two strings of the same length.
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