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Consider a First-Order Logic (FOL) language L with two unary predicate symbols P and Q, one unary function f, and two constants a and b.

Consider a First-Order Logic (FOL) language L with two unary predicate symbols P and Q, one unary function f, and two constants a and b. The following KB has been specified in this language (note that I use directly "for all" to stand for the logical quantifier of "for-all").

1. (forall x)(Q(x) -> P(x)) (Note: the sentence is logically equivalent to (forall x) (~ Q(x) \/ P(x))). 2. P(b) 3. Q(b)

4. Q(f(a))

5. P(f(b))

Consider an interpretation of , where D={d1, d2, d3}, and d1 is denoted by a, d2 is denoted b. For the function f, I(f,d1)=d2, I(f,d2)=d3, I(f,d3)=d1. and I(P)={d1, d2}, I(P)={d1, d2}. Is this interpretation a model of L?

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