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  1. mathematics
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  3. consider the formula a : ?x.[(?y.p(x, y) ? r(x)) ?

Consider the formula A : ?x.[(?y.P(x, y) ? R(x)) ? ¬?z.Q(x, z)] (a) Find a formula equivalent...

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Question

Advance Math

Consider the formula

A : ?x.[(?y.P(x, y) ? R(x)) ? ¬?z.Q(x, z)]

(a) Find a formula equivalent to A that only has negationsymbols in front of basic formulas.

(b) Give an example of an interpretation where A is true. Thedomain should be the set N.

(c) Give an example of an interpretation where A is false. Thedomain should be the set N.

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