The domain of discourse for this problem is a group of three people who are working on a project. To make notation easier, the people are numbered 1, 2, 3. The predicate M(x, y) indicates whether x has sent an email to y, so M(2, 3) is read "Person 2 has sent an email to person 3." The table below shows the value of the predicate M(x, y) for each (x, y) pair. The truth value in row z and column y gives the truth value for M(x, y). (b) Vz3y -M(r, M) M 1 2 3 Determine if the quantified statement is true or false. Justify your an- swer. (a) Vævy (x+y) → M(x, y)) (c) Vy M(x, y) 1 2 3 TIT T TF T| TTF

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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PROBLEM 3
The domain of discourse for this problem is a group of three people who are
working on a project. To make notation easier, the people are numbered 1, 2, 3.
The predicate M(x, y) indicates whether x has sent an email to y, so M(2, 3) is
read "Person 2 has sent an email to person 3." The table below shows the value of
the predicate M(x, y) for each (x, y) pair. The truth value in row z and column
y gives the truth value for M(x, y).
swer.
M
1
2
Determine if the quantified statement is true or false. Justify your an-
(b) Vzy M(x, y)
3
(a) Vrvy (ry) → M(x, y))
(c) Vy M(x, y)
123
TTT
TFT
TT F
Transcribed Image Text:PROBLEM 3 The domain of discourse for this problem is a group of three people who are working on a project. To make notation easier, the people are numbered 1, 2, 3. The predicate M(x, y) indicates whether x has sent an email to y, so M(2, 3) is read "Person 2 has sent an email to person 3." The table below shows the value of the predicate M(x, y) for each (x, y) pair. The truth value in row z and column y gives the truth value for M(x, y). swer. M 1 2 Determine if the quantified statement is true or false. Justify your an- (b) Vzy M(x, y) 3 (a) Vrvy (ry) → M(x, y)) (c) Vy M(x, y) 123 TTT TFT TT F
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