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?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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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 E F, then:
· F. F2 EF
· F1 - F2 EF
· E: F2 EF
· Fu F2 EF
b)
Define function # eF→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?
Transcribed Image Text: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 E F, then: · F. F2 EF · F1 - F2 EF · E: F2 EF · Fu F2 EF b) Define function # eF→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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