Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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P^(qvr) what is the truth value of the compound statement?
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Step 1: Introduction :
A Compound statement, in logic and mathematics , is a statement that is formed by combining two or more simpler statements using logical connectives. These simpler statements, known as atomic propositions or simply propositions , are the building blocks of the compound statement. Logical connectives, such as "and" (^), "or" (V), "not"(-), "implies"(=>), and "if and only if" ( <=>), are used to create compound statements from atomic propositions.
The truth value of a statement or proposition is an assignement of either true (T) or false (F) to that statement based on the interpretation of the statement in a given context or under a specific set of assumptions. The truth value of a compound statement is determined by the truth values of its component atomic propositions and the rules of logic, as specified by logical connectives that combine these atomic propositions.
A compound statement is formed by combining simpler statements using logical connectives, and the truth value of a compound statement is based on the truth values of its constituent atomic propositions and the logical operations used to connect them.
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