State whether the following statements are true or false for the $HA$ tuple $,$ Init, Inv, $E,G,R$: :

Initial set of states Init is a subset of $Q$

$1$ point

a$.$True

b$.$False

$x^{}=f(x)$ does not depend on $Q$

a$.$True

b$.$False

Inv maps each location in $Q$ to certain constraints on a subset of variables $x$

a$.$True

b$.$False

Match the following statements for an HA :

An assignment on the continuous variables while the HA is transitioning

A$.$ Flow dynamics

from one state to another

Collection of some conditions on the continuous variables of HA that

C$.$ Reset map

decide whether a transition from one location to another should happen

$($choose among $1,2,3)$

$\_$ matches with $A$

$\_$ matches with $B$

$\_$ matches with $B$