Indicate whether each of the following statements is true (T) or false (F): 1. (∀x)(A(x)&D(x)→B(x)) is equivalent to (∀x) (¬B(x)→( ¬D(x)→A(x))) 2. ¬(∀x)(A(x)→(B(x) V C(x))) is equivalent to (∃x)(A(x)& ¬B(x)& ¬C(x)) 3. ¬(∃x)(A(x)→(B(x)&C(x))) is equivalent to (∀x)(A(x)&(B(x)→ ¬C(x)))
Indicate whether each of the following statements is true (T) or false (F): 1. (∀x)(A(x)&D(x)→B(x)) is equivalent to (∀x) (¬B(x)→( ¬D(x)→A(x))) 2. ¬(∀x)(A(x)→(B(x) V C(x))) is equivalent to (∃x)(A(x)& ¬B(x)& ¬C(x)) 3. ¬(∃x)(A(x)→(B(x)&C(x))) is equivalent to (∀x)(A(x)&(B(x)→ ¬C(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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Indicate whether each of the following statements is true (T) or false (F):
1. (∀x)(A(x)&D(x)→B(x)) is equivalent to (∀x) (¬B(x)→( ¬D(x)→A(x)))
2. ¬(∀x)(A(x)→(B(x) V C(x))) is equivalent to (∃x)(A(x)& ¬B(x)& ¬C(x))
3. ¬(∃x)(A(x)→(B(x)&C(x))) is equivalent to (∀x)(A(x)&(B(x)→ ¬C(x)))
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