The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of ...

This paper concerns modal logics of provability -- Gödel-Löb system GL and Solovay logic S -- the smallest and the greatest representation of arithmetical theories in propositional logic respectively.

Many attempts to develop artificial intelligence are powered by powerful systems of mathematical logic. They tend to produce results that make logical sense to a computer program — but the result is ...