Not so much rusty as never pursued beyond the basics. The logic I know is mostly from popular books like Gödel, Escher, Bach, plus a philosophy course on modal logic, where I learned the basic concepts used to talk about interpretations of theories.
No worries. Your logic seems rusty though, so if you want to build something in this direction, you should probably reread a good textbook.
Not so much rusty as never pursued beyond the basics. The logic I know is mostly from popular books like Gödel, Escher, Bach, plus a philosophy course on modal logic, where I learned the basic concepts used to talk about interpretations of theories.