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Consider the following “proof" 1: a ^ (¬a → b) (Premise) 2: a ^ (¬a V b) (Implication, 1) 3: (a ^ ¬a) V b (Associative, 2) 4: T V b (Negation, 3) 5: T (Identity, 4) (a) Identify all of the errors in the proof. (b) Using Rules of Inference and Propositional Equivalences, formally prove that a ^ (¬a → b) = a

Consider the following “proof" 1: a ^ (¬a → b) (Premise) 2: a ^ (¬a V b) (Implication, 1) 3: (a ^ ¬a) V b (Associative, 2) 4: T V b (Negation, 3) 5: T (Identity, 4) (a) Identify all of the errors in the proof. (b) Using Rules of Inference and Propositional Equivalences, formally prove that a ^ (¬a → b) = a

Database System Concepts
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 following "proof" 1: a ^ (¬a → b) (Premise) 2: a ^ (¬a V b) (Implication, 1) 3: (ал -а) vb (Associative, 2) 4: TV b (Negation, 3) 5: T (Identity, 4) (a) Identify all of the errors in the proof. (b) Using Rules of Inference and Propositional Equivalences, formally prove that ал (-а — b) 3а
Transcribed Image Text:Consider the following "proof" 1: a ^ (¬a → b) (Premise) 2: a ^ (¬a V b) (Implication, 1) 3: (ал -а) vb (Associative, 2) 4: TV b (Negation, 3) 5: T (Identity, 4) (a) Identify all of the errors in the proof. (b) Using Rules of Inference and Propositional Equivalences, formally prove that ал (-а — b) 3а
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