hich of the following is NOT one of the axioms from XXV Y (XY) ⇒ [(Zv X) (Z V Y)] ⇒ XV X 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
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The image presents a multiple-choice question regarding Hilbert's system of axioms. The question asks:

"Which of the following is NOT one of the axioms from Hilbert's system?"

The options provided are:

1. \( X \Rightarrow X \lor Y \)
2. \( (X \Rightarrow Y) \Rightarrow [(Z \lor X) \Rightarrow (Z \lor Y)] \)
3. \( X \lor X \Rightarrow X \)
4. \( [X \lor (Y \lor Z)] \Rightarrow [Y \lor (X \lor Z)] \)
5. \( (X \lor Y) \Rightarrow (Y \lor X) \)

Each option consists of a logical expression using implications (\(\Rightarrow\)) and disjunctions (\(\lor\)).
Transcribed Image Text:The image presents a multiple-choice question regarding Hilbert's system of axioms. The question asks: "Which of the following is NOT one of the axioms from Hilbert's system?" The options provided are: 1. \( X \Rightarrow X \lor Y \) 2. \( (X \Rightarrow Y) \Rightarrow [(Z \lor X) \Rightarrow (Z \lor Y)] \) 3. \( X \lor X \Rightarrow X \) 4. \( [X \lor (Y \lor Z)] \Rightarrow [Y \lor (X \lor Z)] \) 5. \( (X \lor Y) \Rightarrow (Y \lor X) \) Each option consists of a logical expression using implications (\(\Rightarrow\)) and disjunctions (\(\lor\)).
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