Question: Suppose propositional sentences and knowledge-base here. We have a knowledge-base called KB. KBPrime is defined as an union of (1) KB and (2) the negation

Suppose propositional sentences and knowledge-base here. We have a knowledge-base called KB. KBPrime is defined as an union of

(1) KB and (2) the negation of a propositional predicate P.

Answer true/false to the following questions.

Note that "|=" is used to denote entailment, and "|-" is used to denote derivation through resolution.

(a). (5 marks) If KB |= P, then KB |- P. That is, if KB entails P, then KB derives (using resolution) P.

(b). (5 marks) If KB |- P, then KB |= P.

(c). (5 marks) If KBPrime |- [], then KBPrime is not satisfiable.

(d). (5 marks) If KBPrime is not satisfiable, then KBPrime |- [].

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