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7. By the tree method, prove that the following four ways of saying that the presi- dent is queasy are logically equivalent. Note: It's enough to test validity of a cycle of four arguments. (4) 3x (PxA Qx) Vx Vy [(Px Py) ⇒x=y] (b) Yx (Px-Qx) a 3x Vy (Py+y=x) (c) 3x [Px ^ Qx a Vy (Py-y=x)] (4) 3x [Qx^ Vy (Py+y=x)]

7. By the tree method, prove that the following four ways of saying that the presi- dent is queasy are logically equivalent. Note: It's enough to test validity of a cycle of four arguments. (4) 3x (PxA Qx) Vx Vy [(Px Py) ⇒x=y] (b) Yx (Px-Qx) a 3x Vy (Py+y=x) (c) 3x [Px ^ Qx a Vy (Py-y=x)] (4) 3x [Qx^ Vy (Py+y=x)]

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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Please solve a,b, c, and d.

7. By the tree method, prove that the following four ways of saying that the presi- dent is queasy are logically equivalent. Note: It's enough to test validity of a cycle of four arguments. (4) 3x (Px ^ Qx) A Vx Vy [(Px ^ Py)-x=y] 3x Vy (Pyy=x) (c) 3x [Px ^ Qx ^ Vy (Py→y = x)] (b) Yx (Px-Qx) (4) 3x [Qx^ Vy (Py+y=x)]
Transcribed Image Text:7. By the tree method, prove that the following four ways of saying that the presi- dent is queasy are logically equivalent. Note: It's enough to test validity of a cycle of four arguments. (4) 3x (Px ^ Qx) A Vx Vy [(Px ^ Py)-x=y] 3x Vy (Pyy=x) (c) 3x [Px ^ Qx ^ Vy (Py→y = x)] (b) Yx (Px-Qx) (4) 3x [Qx^ Vy (Py+y=x)]
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