Exercise.  Determine the truth value of each expression, given that the domain of all the variables is the set of real numbers. ∀x∃y (x² = y) ∀x∃y (x = y²) ∀y∃x (x = y²) ∃m∀n (mn = 0) ∃a∃b (a + b ≠ b + a) ∀x∃y (x + y = 1)

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
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Practice - Predicate Logic
Exercise.  Determine the truth value of each expression, given that the domain of all the variables is the set of real numbers.

  1. ∀x∃y (x² = y)
  2. ∀x∃y (x = y²)
  3. ∀y∃x (x = y²)
  4. ∃m∀n (mn = 0)
  5. ∃a∃b (a + b ≠ b + a)
  6. ∀x∃y (x + y = 1) 
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