Let A be a formula in which the variables p, q, r occur, but no others, and whose truth table has a result t only in the rows f, t, f (state for p, q, r in that order) and t, f, f. Show that A is provably equivalent to the formula: p^q^ rvp ^q^r (Hint. Prove that Ftaut A = ¬p^q^^q^¬r instead.)

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A:

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A: Below is the answer to above question. I hope this will helpful for you..

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.