Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Prove the predictive logic statement is valid:
(∀ x)(P(x) → Q(a)) ∧ (∃ y)(P(y)) → Q(a)
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Step 1
Given,
The predictive logic statement:
The given predictive logic statement is valid if it is a tautology i.e., the truth values are always true regardless of the truth values of and .
A truth table is a tool for evaluating the truth or falsity of a logical statement, given different combinations of truth values of its component propositions.
The truth table is as follows:
| T | T | T | T | T | T |
| T | F | F | T | F | T |
| F | T | T | F | F | T |
| F | F | T | F | F | T |
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