Consider the following formula in the usual language of Set Theory L= {e} (recall that e is a binary predicate symbol). (Va)(-z €zA-(3:)z e :) A(V=)(: € y= y) Select ALL correct statements. a y is a free variable. b. - €z is an atomic formula. czis not a free variable. d.z€yz is a subformula. e. The complexity of the formula is 9. 1.zEzis a term.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider the following formula in the usual language of Set Theory L= {e} (recall that e is a binary predicate symbol).
(Va)(- €zA -(3:)Z € 2) ^ ¬(V=)(= € y →= = y)
Select ALL correct statements.
a. y is a free variable.
b. Er is an atomic formula.
Cr is not a free variable.
d. z€y - z is a subformula.
e. The complexity of the formula is 9.
f. r Ez is a term.
Transcribed Image Text:Consider the following formula in the usual language of Set Theory L= {e} (recall that e is a binary predicate symbol). (Va)(- €zA -(3:)Z € 2) ^ ¬(V=)(= € y →= = y) Select ALL correct statements. a. y is a free variable. b. Er is an atomic formula. Cr is not a free variable. d. z€y - z is a subformula. e. The complexity of the formula is 9. f. r Ez is a term.
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