Say we interpret the modal operators □ and ◊ to represent the notions "necessary" and "possible"
respectively, and say we interpret the propositional letters p :"the company expands" , q: "hire new
employees" and r: “the company will increase profits”, respectively.
(i)
Express the following modal logic formula in English: (3)
◊ ( p (q r))
(ii)
Translate the following declarative sentence into modal logic: (3)
. It is possible that the company will expand and it is necessary that if the company expands then
it will hire new employees