Exercise 12.1 Consider a domain with two individuals (and), two predicate symbols (p and q), and three

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Exercise 12.1 Consider a domain with two individuals (✂and☎), two predicate symbols (p and q), and three constants

(a,

b, and c). The knowledge base KB is defined by p(X) ← q(X).

q(a).

(a) Give one interpretation that is a model of KB.

(b) Give one interpretation that is not a model of KB.

(c) How many interpretations are there? Give a brief justification for your answer.

(d) How many of these interpretations are models of KB? Give a brief justification for your answer.

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