This is a preview. Log in through your library . Journal Information The Journal of Philosophical Logic provides a forum for work at the crossroads of philosophy and logic, old and new, with ...

The goal of this topics course is to study the foundations of different types of logics used commonly in artificial intelligence. Logic forms the basis for many types of reasoning used by humans – ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

We first extend Quine's method of eliminating the bound variables to first-order predicate logic with operation symbols ; then we give a device for eliminating also the free variables ; and finally we ...