tive system for first-order logic applied below is "Axiom 1,2,3,4,5" ? ⊢ ∀x P(x) → (∃x Q(x) → ∀x P(x)) Consider the steps given below of a proof in the Hilbert deductive system and determine the reason that justifies each. ∀x A(x) ⊢ ∀x A(x) "?"
tive system for first-order logic applied below is "Axiom 1,2,3,4,5" ? ⊢ ∀x P(x) → (∃x Q(x) → ∀x P(x)) Consider the steps given below of a proof in the Hilbert deductive system and determine the reason that justifies each. ∀x A(x) ⊢ ∀x A(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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Let P(x) and Q(x) be relations, with x a variable from a given domain of discourse U. The Axiom of the Hilbert deductive system for first-order logic applied below is "Axiom 1,2,3,4,5" ?
⊢ ∀x P(x) → (∃x Q(x) → ∀x P(x))
Consider the steps given below of a proof in the Hilbert deductive system and determine the reason that justifies each.
∀x A(x) ⊢ ∀x A(x) "?"
∀x A(x) ⊢ ∀x A(x) → A(a) " ?"
∀x A(x) ⊢ A(a) " ?"
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