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

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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Question

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)]

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