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3.Consider the structure R=(R,+,×,<).We say that a set CC R is definable in R if

By December 6, 2021No Comments

3.Consider the structure R=(R,+,×,<).We say that a set CC R is definable in R ifthere is a formulap(x)such that c∈C if and only if c is true in R.Show that the setC={0,1}is definable in R.(Hint:Consider the polynomial whose solution is exactly 0 or 1.)[12]

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