Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:3. Consider the Tarski world shown below:
d
Let Triangle(x), Circle(x), and Square(x) mean “x is a triangle," "x is a circle," and
"x is a square"; let Blue(x), Gray(x), and Black(x) mean “x is blue," “x is gray,"
and "x is black"; let RightOf(x, y), Above(x, y), and SameColorAs(x, y) mean “x is
to the right of y," “x is above y," and "x has the same color as y"; and use the
notation x = y to denote the predicate “x is equal to y". Let the common domain
D of all variables be the set of all the objects in the Tarski world.
Each of the following statements is true or false. And explain why.
(a) For all squares x there is a circle y such that x and y have different colors and
y is above x.
(b) There is a triangle x such that for all circles y, y is above x.
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