Question: 4. Consider the knowledge base KB: a b c . b d . b e . c . d h

4. Consider the knowledge base KB:

a ← b ∧ c .

b ← d .

b ← e .

c .

d ← h .

e .

f ← g ∧ b .

g ← c ∧ k .

j ← a ∧ b .

(a) Show how the bottom-up proof procedure works for this example. Give all logical consequences of KB.

(b) f is not a logical consequence of KB. Give a model of KB in which f is false.

(c) a is a logical consequence of KB. Give a top-down derivation for the query ???????????? a.

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