Consider the formula C = 3xVy.p(x, y) → q(y). For each of the followinginterpretations, determine if the interpretation is a model of C. If it is a model, show that itis. If it is not a model, show that it is not. (c) D = the set of positive integersR = {R1, R2}R1 = the arithmetic predicate + “x is not equal to y"R2 = {[2]}p maps to R1 and q maps to R2%3D(d) D = the set of positive integersR = {R1, R2}R1 = the arithmetic predicate s “x is less than or equal to y"R2 = the unary arithmetic predicate A(y).{y>0} “y is greater than 0"p maps to R1 and q maps to R2

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|Consider the formula C = 3x Vy.p(x,y) → q(y). For each of the following nterpretations, determine if the interpretation is a model of C. If it is a model, show that it s. If it is not a model, show that it is not.

|Consider the formula C = 3x Vy.p(x,y) → q(y). For each of the following nterpretations, determine if the interpretation is a model of C. If it is a model, show that it s. If it is not a model, show that it is not.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section17.4: Classification Of States In A Markov Chain

Problem 3P

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Question

Consider the formula C = 3xVy.p(x, y) → q(y). For each of the following
interpretations, determine if the interpretation is a model of C. If it is a model, show that it
is. If it is not a model, show that it is not.

(c) D = the set of positive integers
R = {R1, R2}
R1 = the arithmetic predicate + “x is not equal to y"
R2 = {[2]}
p maps to R1 and q maps to R2
%3D
(d) D = the set of positive integers
R = {R1, R2}
R1 = the arithmetic predicate s “x is less than or equal to y"
R2 = the unary arithmetic predicate A(y).{y>0} “y is greater than 0"
p maps to R1 and q maps to R2

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