Let Σ={0,1}. Give a regular expression r over Σ such that L(r) = { w in Σ* | (w contains at least 2 symbols, thatis, the length of w is at least 2) and (the first symbol of w is different from the last symbol of w) and(centre (w) is mimsy according to the following two definitions)}.For any string y containing at least 2 symbols, let centre (y) be the substring of y obtained by removing thefirst symbol and the last symbol of y.A string x over Σ is called mimsy if x is made up of either• at least two 0-symbols (and no 1-symbols), oran even number of 1-symbols (and no 0-symbols).

To find a regular expression r over Σ={0,1} such that L(r) consists of all strings w that satisfy…

Answered: For any string y containing at least 2…

For any string y containing at least 2 symbols, let centre (y) be the substring of y obtained by removing the first symbol and the last symbol of y

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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Question

Let Σ={0,1}. Give a regular expression r over Σ such that L(r) = { w in Σ* | (w contains at least 2 symbols, that
is, the length of w is at least 2) and (the first symbol of w is different from the last symbol of w) and
(centre (w) is mimsy according to the following two definitions)}.
For any string y containing at least 2 symbols, let centre (y) be the substring of y obtained by removing the
first symbol and the last symbol of y.
A string x over Σ is called mimsy if x is made up of either
• at least two 0-symbols (and no 1-symbols), or
an even number of 1-symbols (and no 0-symbols).

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