Consider the formula B = 3x3y3z. p(x,y) p(x, z) ^ ¬p(y, z). For each of the following interpretations, determine if the interpretation is a model of B. If it is a model, show that it is. If it is not a model, show that it is not. (a) D= the set of you and your friends (pick you and two other friends) R = {R1} R1 = x is-friends-with y (define explicitly!!) p maps to R1 (b) D = {1,2} R = {R1} R1 = > (you may write this out as tuples if it helps) p maps to R1

Consider the formula B = 3x3y3z. p(x,y) p(x, z) ^ ¬p(y, z). For each of the following interpretations, determine if the interpretation is a model of B. If it is a model, show that it is. If it is not a model, show that it is not. (a) D= the set of you and your friends (pick you and two other friends) R = {R1} R1 = x is-friends-with y (define explicitly!!) p maps to R1 (b) D = {1,2} R = {R1} R1 = > (you may write this out as tuples if it helps) p maps to R1

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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Question

Consider the formula B = 3x3y3z. p(x, y) ^ p(x, z) ^ ¬p(y, z). For each of
the following interpretations, determine if the interpretation is a model of B. If it is a model,
show that it is. If it is not a model, show that it is not.
(a) D = the set of you and your friends (pick you and two other friends)
R = {R1}
R1 = x is-friends-with y (define explicitly!!)
p maps to R1
(b) D = {1,2}
R = {R1}
R1 = > (you may write this out as tuples if it helps)
p maps to R1

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