Question

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

Consider the formula
A : ∃x.[(∀y.P (x, y) → R(x)) → ¬∃z.Q(x, z)]

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

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

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

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