2. Show that each of the following formulas are both satisfiable and falsifiable. (a) y Vxp(x, y). (b) Vr (p(x) V q(x)) → (Vr p(x)) v (Vrq(x)) (c) Vr (yp(x,y) →yq(x, y)).

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
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2. Show that each of the following formulas are both satisfiable and falsifiable.
(a) y Vxp(x, y).
(b) Vr (p(x) V q(x)) → (Vxp(x)) v (Vxq(x))
(c) Vx (yp(x,y) →yq(x, y)).
Transcribed Image Text:2. Show that each of the following formulas are both satisfiable and falsifiable. (a) y Vxp(x, y). (b) Vr (p(x) V q(x)) → (Vxp(x)) v (Vxq(x)) (c) Vx (yp(x,y) →yq(x, y)).
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