Question

Consider the following predicate formulas. F1: ∀x ( P(x) → Q(x) ) F2: ∀x P(x) →...

Consider the following predicate formulas.

F1: ∀x ( P(x) → Q(x) )

F2: ∀x P(x) → Q(x)

F3: ∃x ( P(x) → Q(x) )

F4: ∃x P(x) → Q(x)

For each of the following questions, answer Yes or No & Justify briefly

. (a) Does F1 logically imply F2?

(b) Does F1 logically imply F3?

(c) Does F1 logically imply F4?

(d) Does F2 logically imply F1?

Math   Advanced-Math   
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Answer #1

Answer for d bit is in answer for a bit

a and b do not happen

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