Given a knowledge base (KB) that consists of two components, A and B, one can check if a statement C is a logical consequence of KB by formulating the compound statement "If (A and B) then C." Using this approach, determine in which of the following cases C is a logical consequence of the given KB. A KB=(p⇒q. q^-p}, C= {p} B KB=(pq, p), C= (p^q} KB=(pq, q), C={p^q} KB=(p⇒q, q⇒r), C= {p⇒r}
Given a knowledge base (KB) that consists of two components, A and B, one can check if a statement C is a logical consequence of KB by formulating the compound statement "If (A and B) then C." Using this approach, determine in which of the following cases C is a logical consequence of the given KB. A KB=(p⇒q. q^-p}, C= {p} B KB=(pq, p), C= (p^q} KB=(pq, q), C={p^q} KB=(p⇒q, q⇒r), C= {p⇒r}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Question 17
Given a knowledge base (KB) that consists of two components, A and B, one can check if a statement C is a logical
consequence of KB by formulating the compound statement "If (A and B) then C."
Using this approach, determine in which of the following cases C is a logical consequence of the given KB.
(В
D
KB={p⇒q, q^-p}, C = {p}
KB=(pq, p}, C={p^q}
KB=(pq,q), C={p^q}
KB=(p⇒q, q⇒r}, C= {p⇒r}
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