Question: Exercise 5.4 You are given the knowledge base KB containing the following clauses: a b c. b d. b e. c.

Exercise 5.4 You are given the knowledge base KB containing the following clauses:

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 ask a.

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