Give sequent proofs of each of the following sequents: 1. P^(Q⇒R), Q^(P→S) ⇒ R^S I. 2. PA~Q~(PQ) 3. (PAQ) V (R→S),(P→S)^R⇒S 4. ⇒(P→(Q→R))→ (Q→(P→R))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 63E
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Please use sequent proof method 

Give
sequent proofs of each of the following sequents:
1. P^(Q⇒R), Q^(P→S) ⇒ R^S
I.
2. PA~Q~(PQ)
3. (PAQ) V (R→S),(P→S)^R⇒S
4. ⇒(P→(Q→R))→ (Q→(P→R))
Transcribed Image Text:Give sequent proofs of each of the following sequents: 1. P^(Q⇒R), Q^(P→S) ⇒ R^S I. 2. PA~Q~(PQ) 3. (PAQ) V (R→S),(P→S)^R⇒S 4. ⇒(P→(Q→R))→ (Q→(P→R))
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