Problem 2 In the Church encoding of natural numbers, we have used the n-fold composition of f. written f". Intuitively. f" means applying function f for n times. a) ..) Implement a function funPover, which takes a function f, an integer n and retums the function f". For example, ((funPower sqrt 2) 16) should return 2.

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,
In the Church encoding of natural numbers, we have used the n-fold composition of f.
written f". Intuitively, f" means applying function f for n times.
a)
) Implement a function funPover, which takes a function f, an integer n and retums the function
f". For example, ((funPower sqrt 2) 16) should return 2.
Implement a function encode, which takes a natural number n and returms the church encoding of
b) .
n. For example, (encode 2) should return 2 (i.e., the function Af. Az. f(f :)).
Transcribed Image Text:Problem 2, In the Church encoding of natural numbers, we have used the n-fold composition of f. written f". Intuitively, f" means applying function f for n times. a) ) Implement a function funPover, which takes a function f, an integer n and retums the function f". For example, ((funPower sqrt 2) 16) should return 2. Implement a function encode, which takes a natural number n and returms the church encoding of b) . n. For example, (encode 2) should return 2 (i.e., the function Af. Az. f(f :)).
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