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Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs,t E S, sRt + L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.

Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs,t E S, sRt + L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.

Database System Concepts
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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The class I'm taking is computer science discrete structures.I am completely stuck.

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Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs, t E S, sRt + L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.
Transcribed Image Text:Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs, t E S, sRt + L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.
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