Consider the following logical consequence: (P v Q) ^ (P –→ R) ^ ((Q ^ R) → S) ^ ¬S E P To prove this logical consequence by refutation the process of derivation of the empty clause should start with set of clauses: a) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{P}} b) {{P,Q},{¬P,¬R},{¬Q,¬R,S},{¬S},{¬P}} c) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{¬P}} d) None of these O a) O b) O d)
Consider the following logical consequence: (P v Q) ^ (P –→ R) ^ ((Q ^ R) → S) ^ ¬S E P To prove this logical consequence by refutation the process of derivation of the empty clause should start with set of clauses: a) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{P}} b) {{P,Q},{¬P,¬R},{¬Q,¬R,S},{¬S},{¬P}} c) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{¬P}} d) None of these O a) O b) O d)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following logical consequence:
(P v Q) ^ (P → R) ^ ((Q ^ R) → S) ^ ¬S E P
To prove this logical consequence by refutation the process of derivation of the empty
clause should start with set of clauses:
a) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{P}}
b) {{P,Q},{¬P,¬R},{¬Q,¬R,S},{¬S},{¬P}}
c) {{P,Q},{¬P,R},{¬Q,¬R,S},{¬S},{¬P}}
d) None of these
O a)
O b)
c)
d)
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