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Show that 3rVy((A(x) → B(y))^(C(x, y) → B(y))) is logically equivalent to ExVy(-B(y) → (¬A(x) A -C(x, y))). Make sure to cite all steps (e.g. De Morgan's law). You should neither combine steps nor skip steps. The only steps that can be combined on a single line are the associative and commutative laws."

Show that 3rVy((A(x) → B(y))^(C(x, y) → B(y))) is logically equivalent to ExVy(-B(y) → (¬A(x) A -C(x, y))). Make sure to cite all steps (e.g. De Morgan's law). You should neither combine steps nor skip steps. The only steps that can be combined on a single line are the associative and commutative laws."

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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4. Show that Vy((A(x) → B(y))^(C(x,y) → B(y))) is logically equivalent to 3xVy(¬B(y) → (¬A(x) ^¬C(x, y))). Make sure to cite all steps (e.g. De Morgan's law). You should neither combine steps nor skip steps. The only steps that can be combined on a single line are the associative and commutative laws."
Transcribed Image Text:4. Show that Vy((A(x) → B(y))^(C(x,y) → B(y))) is logically equivalent to 3xVy(¬B(y) → (¬A(x) ^¬C(x, y))). Make sure to cite all steps (e.g. De Morgan's law). You should neither combine steps nor skip steps. The only steps that can be combined on a single line are the associative and commutative laws."
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