1. Determine whether (p2g)^(¬P) =q.

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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1. Determine whether (p) ^ (¬Pn) =q.
2.Determine whether p> (g>) is equivalent to (p>g) →r.
3.Using c for "it is cold" and r for “it is rainy", write "It is rainy if it is not cold" in symbols.
Transcribed Image Text:1. Determine whether (p) ^ (¬Pn) =q. 2.Determine whether p> (g>) is equivalent to (p>g) →r. 3.Using c for "it is cold" and r for “it is rainy", write "It is rainy if it is not cold" in symbols.
4) In the questions below suppose the variable x represents students and the variable y represents
courses, and
F(x): x is a freshman
A(v): y is an advanced course
T(x): x is taking y.
Write the statement below using these predicates and any needed quantifiers:
Some freshman is taking an advanced course.
5. In the questions below suppose P(Xx) is a predicate and the universe for the variables x and y
is {1,2,3}. Suppose P(1,3), P(2,1), P(2,2), P(2,3), P(2,3), P(3,1), P(3,2) are true, and P(xx) is
false otherwise. Determine whether the following statement is true.
"Xx (x #y → (P(Xx) Ú P(xx)).
Ans: True
6. Determine whether the following argument is valid:
Transcribed Image Text:4) In the questions below suppose the variable x represents students and the variable y represents courses, and F(x): x is a freshman A(v): y is an advanced course T(x): x is taking y. Write the statement below using these predicates and any needed quantifiers: Some freshman is taking an advanced course. 5. In the questions below suppose P(Xx) is a predicate and the universe for the variables x and y is {1,2,3}. Suppose P(1,3), P(2,1), P(2,2), P(2,3), P(2,3), P(3,1), P(3,2) are true, and P(xx) is false otherwise. Determine whether the following statement is true. "Xx (x #y → (P(Xx) Ú P(xx)). Ans: True 6. Determine whether the following argument is valid:
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