iv Vrvy(star(r)^ ¬shade(r) A next_to(x, y) → shade(y) A circ(y)) v Vy3r next to(r, y) A shade(r) vi 3rVy next_to(x, y) A shade(r)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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iv VrVy(star(r) A -shade(r) A next_to(r, y) → shade(y) A circ(y))
v Vy3r next to(x, y) A shade(r)
V
vi 3xVy next to(r, y) A shade(x)
Transcribed Image Text:iv VrVy(star(r) A -shade(r) A next_to(r, y) → shade(y) A circ(y)) v Vy3r next to(x, y) A shade(r) V vi 3xVy next to(r, y) A shade(x)
a
e
g
Using the following predicates:
square (x) is true if x is a square (otherwise it is false)
star (x) is true if x is a star (otherwise it is false)
circ(x) is true if x is a circle (otherwise it is false)
shade (x) is true if x is shaded (otherwise it is false)
next to(x, y) is true if x and y are adjacent horizontally, vertically or diagonally. This relation is
not reflexive for any object.
For each of the statements below, determine whether the statement is true or false. You need
not justify your response.
Transcribed Image Text:a e g Using the following predicates: square (x) is true if x is a square (otherwise it is false) star (x) is true if x is a star (otherwise it is false) circ(x) is true if x is a circle (otherwise it is false) shade (x) is true if x is shaded (otherwise it is false) next to(x, y) is true if x and y are adjacent horizontally, vertically or diagonally. This relation is not reflexive for any object. For each of the statements below, determine whether the statement is true or false. You need not justify your response.
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