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 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.

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 ...

Fuzzy implication functions have emerged as integral components in the field of fuzzy logic, extending the classical concept of implication into a framework that can manage partial truths. These ...