A$)$ Explain how to represent sentences using First$-$order$-$logic

B$)$ Consider a vocabulary with the following symbols:

Occupation$($p$,$ o$)$: Predicate. Person p has occupation o$.$

Customer $($p$1,$ p$2)$: Predicate. Person p$1$ is a customer of person p$2.$

Boss$($p$1,$ p$2)$: Predicate. Person p$1$ is a boss of person p$2.$

Doctor $,$ Surgeon, Lawyer $,$ Actor : Constants denoting occupations.

Emily, Joe: Constants denoting people.

Use these symbols to write the following assertions in first$-$order logic:

a$.$ Emily is either a surgeon or a lawyer.

b$.$ Joe is an actor, but he also holds another job.

c$.$ All surgeons are doctors.

d$.$ Joe does not have a lawyer $($i$.$e$.,$ is not a customer of any lawyer$).$

e$.$ Emily has a boss who is a lawyer.

f$.$ There exists a lawyer all of whose customers are doctors.

g$.$ Every surgeon has a lawyer.

h$.$ Politicians can foolsome of the people all of the time, and they can fool all of the people

some of the time, but they can$$t fool all of the people all of the time.

i$.$ All Greeks speak the same language. $($Use Speaks$($x$,$ l$)$ to mean that person x speaks

language l$.)$

j$.$ Everyone who loves all animals is loved by someon