CSSE 373 -- Formal Methods in Specification and Design Quiz 9 Name:_________________________________________ Grade:______________ 1. Given the declarations: abstract sig Object { } sig Directory extends Object { ... } sig File extends Object { } sig Alias extends File { ... } in the command run show for exactly 3 Directory, exactly 3 Alias, 5 File how many total objects would be generated if we added "exactly" before "5 File"? (Careful. Alias and File are related.) 2. Rewrite the Alloy model below to not use a Boolean type. sig Lift { goingUp: Time -> Boolean, goingDown: Time -> Boolean }