Consider the first-order logic formula ∃x (P(a, x) ˄ P(x, b)) and the interpretation domain D = {Anna, Bob, Kelly}, P = {(Bob, Anna), (Anna, Kelly), (Bob, Bob), (Bob, Kelly), ((Kelly, Kelly)}, a = Anna, b = Identify bound and free variables in the first-order logic formula ∀x A(x, y) ∧ ∀y B(x, y) Occurrence of x in A(x, y): Occurrence of y in A(x, y): Occurrence of x in B(x, y): Occurrence of y in B(x, y): Let x, y be variables whose domain is the set of real numbers ℝ. Which result of first-order logic justifies the statement below? ∀x∀y (x + y = 0) is logically equivalent to ∀y∀x (x + y = 0) Distributive laws Commutative laws Definability laws De Morgan’s laws
Consider the first-order logic formula ∃x (P(a, x) ˄ P(x, b)) and the interpretation domain D = {Anna, Bob, Kelly}, P = {(Bob, Anna), (Anna, Kelly), (Bob, Bob), (Bob, Kelly), ((Kelly, Kelly)}, a = Anna, b = Identify bound and free variables in the first-order logic formula ∀x A(x, y) ∧ ∀y B(x, y) Occurrence of x in A(x, y): Occurrence of y in A(x, y): Occurrence of x in B(x, y): Occurrence of y in B(x, y): Let x, y be variables whose domain is the set of real numbers ℝ. Which result of first-order logic justifies the statement below? ∀x∀y (x + y = 0) is logically equivalent to ∀y∀x (x + y = 0) Distributive laws Commutative laws Definability laws De Morgan’s laws
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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Consider the first-order logic formula
∃x (P(a, x) ˄ P(x, b))
and the interpretation
domain D = {Anna, Bob, Kelly}, P = {(Bob, Anna), (Anna, Kelly), (Bob, Bob), (Bob, Kelly), ((Kelly, Kelly)}, a = Anna, b =
Identify bound and free variables in the first-order logic formula
∀x A(x, y) ∧ ∀y B(x, y)
Occurrence of x in A(x, y):
Occurrence of y in A(x, y):
Occurrence of x in B(x, y):
Occurrence of y in B(x, y):
Let x, y be variables whose domain is the set of real numbers ℝ. Which result of first-order logic justifies the statement below?
∀x∀y (x + y = 0) is logically equivalent to ∀y∀x (x + y = 0)
Distributive laws
Commutative laws
Definability laws
De Morgan’s laws
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