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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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