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6. Find a counterexample, if possible, to these universally quantified state- ments, where the domain for all variables consists of all real numbers. Otherwise, state that no counterexample exists (a) VxVy(y = x→y² ≤ x¯¥) (b) Vyz(x = y²) (c) VxVy((y ≤x) → (x¹7 > y) V (y < 0))

6. Find a counterexample, if possible, to these universally quantified state- ments, where the domain for all variables consists of all real numbers. Otherwise, state that no counterexample exists (a) VxVy(y = x→y² ≤ x¯¥) (b) Vyz(x = y²) (c) VxVy((y ≤x) → (x¹7 > y) V (y < 0))

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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6. Find a counterexample, if possible, to these universally quantified state- ments, where the domain for all variables consists of all real numbers. Otherwise, state that no counterexample exists (a) \r\y(y=x→y≤ ≤ x¯¥) (b) Vyz(x = y²) (c) VxVy((y ≤x) → (x¹7 > y) V (y < 0))
Transcribed Image Text:6. Find a counterexample, if possible, to these universally quantified state- ments, where the domain for all variables consists of all real numbers. Otherwise, state that no counterexample exists (a) \r\y(y=x→y≤ ≤ x¯¥) (b) Vyz(x = y²) (c) VxVy((y ≤x) → (x¹7 > y) V (y < 0))
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