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.
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.
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 regular language which refers to the language that can be expressed at with a regular expression or a deterministic or non deterministic finite automata or state machine. A language which refers to the a set of strings which are made up of characters from a specified alphabet, or set of symbols.
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