For the string $(($x$)((($x$)$x$=$y$)(($x$)($x$=$y$$q$))))$

$,$ choose ALL statements that apply.

Question $2$Answer

a$.$

This is a first$-$order formula, but not a Boolean formula

b$.$

The complexity is $7$

c$.$

This is a first$-$order formula with the following valid formula calculation:

x$=$y$,$ q$,($x$=$y $$ q$),($x$)$x$=$y$,$x$($x$=$y $$ q$),(($x$)$x$=$y $$x$($x$=$y $$ q$),(($x$)((($x$)$x$=$y$)(($x$)($x$=$y $$ q$))))$

d$.$

This is not a first$-$order formula because it does not contain all required brackets