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how that (RA4) is independent of the other axioms of RA. (RA = Robinson's Arithmetic) Hint. Try something like this: U = {1, 2, 3, 4, . . .} I(o) = 1 I(+) = + I(x) = ⊗ I(s) = S Where + and S are the addition and successor functions on {1, 2, 3, . . .}. Your task is to come up with a definition of the binary function ⊗ on U so that (RA6) and (RA7) are true in M.

how that (RA4) is independent of the other axioms of RA. (RA = Robinson's Arithmetic) Hint. Try something like this: U = {1, 2, 3, 4, . . .} I(o) = 1 I(+) = + I(x) = ⊗ I(s) = S Where + and S are the addition and successor functions on {1, 2, 3, . . .}. Your task is to come up with a definition of the binary function ⊗ on U so that (RA6) and (RA7) are true in M.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Show that (RA4) is independent of the other axioms of RA. (RA = Robinson's Arithmetic)

Hint. Try something like this: U = {1, 2, 3, 4, . . .}

I(o) = 1

I(+) = +

I(x) = ⊗

I(s) = S

Where + and S are the addition and successor functions on {1, 2, 3, . . .}. Your task is to come up with a definition of the binary function ⊗ on U so that (RA6) and (RA7) are true in M.

 

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