Problem 2 Consider the set of mathematical formulas F, Inductively defined as the smallest set that meets the following rules: 1. VNEN, nEF 2. Yes F1, F2 € F, then: • Fr. F2EF · F1 - F2 € F • Fi :F2€F · Fu F2€F b) Define function # mF¬N that receives a formula Fand returns the number of operands (natural numbers) in F. Hint:Can you find an equality that relates both values?

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A: Answer: -------- None of the other statements is true.

Q: In C

A: Given:

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A: The Answer is

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Q: pro

A: Since the programming language is not mentioned, I have provided the Code using JavaScript.

Q: (a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6) (b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10)

A: (a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6)(b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10) using…

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A: Dear Student, The answer to your question is given below -

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