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 ...

In order to respond to one of the main challenges of Artificial Intelligence (AI), that is, the effective integration of learning and reasoning, both symbolic inference and statistical learning need ...

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 ...

This is a preview. Log in through your library . Abstract We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the ...