(b) D = the set of positive integers R= {R1, R2} R1 = the arithmetic predicate = “x equals y" R2 = {[4]} p maps to R1 and q maps to R2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(b) D = the set of positive integers
R = {R1, R2}
R1 = the arithmetic predicate = "x equals y"
R2 = {[4]}
p maps to R1 and q maps to R2
Transcribed Image Text:(b) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate = "x equals y" R2 = {[4]} p maps to R1 and q maps to R2
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.
(a) D = the set of positive integers
R = {R1, R2}
R1 = {[1,3], [3,4], [2,3]}
R2 = {[1], [2], [3], [4]}
p maps to R1 and q maps to R2
Transcribed Image Text: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. (a) D = the set of positive integers R = {R1, R2} R1 = {[1,3], [3,4], [2,3]} R2 = {[1], [2], [3], [4]} p maps to R1 and q maps to R2
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