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Applied Mathematics for Database Professionals by Toon Koppelaars, Lex de Haan

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Chapter 1 Answers

Exercise 1

  1. This is a FALSE proposition.
  2. Predicate. It is equivalent to the predicate x > 0.
  3. This is a FALSE proposition.
  4. This is a TRUE proposition.
  5. This is a FALSE proposition.

Exercise 2

If you compare the truth tables for A ∧ B and A | B, you’ll notice a pattern:

A B AB A | B
T T T F
T F F T
F T F T
F F F T

Whenever expression A ∧ B is TRUE , expression A | B is FALSE, and vice versa. In other words, the first expression is the negation of the second expression. This should bring you straight to the solution for expressing the AND in terms of the NAND:

(A ∧ B) ⇔ ¬ (A | B)

If you compare the truth ...

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