Proofs are best done with your Boolean goggles on, so I suggest first writing #4 and #7 in Boolean form. For the first four questions, show that the argument is TT con by providing a formal proof. [Hint: The first two are really easy, needing only Elim, ^Intro and Intro. Don't overthink them!] 1. | (Av B) ^¬(C^¬D) CA(AB) |(Av B) ^¬(A ^ B) 2. | (-AVC) ^ B C (AV B) AC 3. ||-(A v B) B 4. |-Cube(c) |—Tet(c) ― (Tet(c) v Cube(c))

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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Proofs are best done with your Boolean goggles on, so I suggest first writing #4 and #7 in
Boolean form. For the first four questions, show that the argument is TT con by
providing a formal proof. [Hint: The first two are really easy, needing only Elim, ^Intro and Intro.
Don't overthink them!]
1.
| (Av B) ^¬(C^¬D)
CA(AB)
|(Av B) ^¬(A ^ B)
2.
| (-AVC) ^ B
C
(AV B) AC
3.
||-(A v B)
B
4.
|-Cube(c)
|—Tet(c)
― (Tet(c) v Cube(c))
Transcribed Image Text:Proofs are best done with your Boolean goggles on, so I suggest first writing #4 and #7 in Boolean form. For the first four questions, show that the argument is TT con by providing a formal proof. [Hint: The first two are really easy, needing only Elim, ^Intro and Intro. Don't overthink them!] 1. | (Av B) ^¬(C^¬D) CA(AB) |(Av B) ^¬(A ^ B) 2. | (-AVC) ^ B C (AV B) AC 3. ||-(A v B) B 4. |-Cube(c) |—Tet(c) ― (Tet(c) v Cube(c))
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