Question $4$

Let $\backslash ($ R $\backslash )$ be the relation defined on the set of all processors by:

$\backslash ($ x R y $\backslash )$ iff $\backslash ($ x $\backslash )$ can carry out every instruction that $\backslash ($ y $\backslash )$ can carry out.

For example, every x$86-$compatible processor can carry out all the instructions of the original Intel $8086$ processor. Thus, if $\backslash ($ x $\backslash )$ is such a processor, and $\backslash ($ y $\backslash )$ is the $8086$ processor, then $\backslash ($ x R y $\backslash ).$

As processor families evolved, more instructions were typically added to the original instruction set. For example, modern x$86$ compatible processors can carry out more instructions than the $8086.$

There are examples of different processors that have the same instruction set. For example, the CMOS $6502$ and $6510$ processors have the same instruction set.

Check all properties that this relation has.

Reflexive

Symmetric

Transitive

Anti$-$symmetric