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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Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.

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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.
Let L be the language L={aPb9cds | pq and q#r} over the alphabet Σ={a,b,c,d). Prove that L is not regular using the pumping lemma. Note: Follow the mathematical formalism given in the textbook. Explain your steps.
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.
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.
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 5 Let I be the set of all even length binary strings. (So I is decidable.) Give an example of a language K ⊆ I with K undecidable. Here you need to define the set K and state your reasoning why the K you define is undecidable. Full explain this question very fast solution sent me step by step text typ work only
Let L be the language L={aPb9cds | pq and q#r} over the alphabet Σ={a,b,c,d). Prove that L is not regular using the pumping lemma. Note: Follow the mathematical formalism given in the textbook. Explain your steps.