Let E={0,1}. Give a regular expression r over Σ such that L(r) = { w in Σ* | (w contains at least 4 symbols, that is, the length of w is at least 4) and (the first symbol of w is different from the last symbol of w) and (interior(w) is vorpal according to the following two definitions)}. For any string y containing at least 4 symbols, let interior (y) be the substring of y obtained by removing the first two symbols and the last two symbols of y. A string x over Σ is called vorpal if x satisfies one or more of the following conditions: • x is made up of exactly k 0-symbols where k modulo 4 is 3 (and no 1-symbols) • x is made up of at least two 1-symbols (and no 0-symbols) ● x contains 011

Let E={0,1}. Give a regular expression r over Σ such that L(r) = { w in Σ* | (w contains at least 4 symbols, that is, the length of w is at least 4) and (the first symbol of w is different from the last symbol of w) and (interior(w) is vorpal according to the following two definitions)}. For any string y containing at least 4 symbols, let interior (y) be the substring of y obtained by removing the first two symbols and the last two symbols of y. A string x over Σ is called vorpal if x satisfies one or more of the following conditions: • x is made up of exactly k 0-symbols where k modulo 4 is 3 (and no 1-symbols) • x is made up of at least two 1-symbols (and no 0-symbols) ● x contains 011

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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A computer is an electronic machine that processes data by performing operations on it. Computer operations are actions performed by the computer to complete a given task. A computer can take input, store values/ information, process information and produce output.

Question

Let E={0,1}. Give a regular expression r over Σ such that L(r) = { w in Σ* | (w contains at least 4 symbols, that is, the length of w is at least
4) and (the first symbol of w is different from the last symbol of w) and (interior(w) is vorpal according to the following two definitions)}.
For any string y containing at least 4 symbols, let interior (y) be the substring of y obtained by removing the first two symbols and the
last two symbols of y.
A string x over Σ is called vorpal if x satisfies one or more of the following conditions:
• x is made up of exactly k 0-symbols where k modulo 4 is 3 (and no 1-symbols)
●
x is made up of at least two 1-symbols (and no 0-symbols)
● x contains 011

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