We have seen that the language of propositional logic allows us to build up expressions from propositional variables A, B, C, \ldots using propositional connectives like \to, \wedge, \vee, and \neg.

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 ...

The perfect fit of syntactic derivability and logical consequence in first-order logic is one of the most celebrated facts of modern logic. In the present flurry of attention given to the semantics of ...

Abstract: As legal systems become increasingly complex and the demand for automated decision-making grows, there is a pressing need for tools that can assist legal professionals in applying legal ...

Abstract: Tsetlin Machine (TM) has recently emerged as a promising alternative to arithmetically driven machine learning algorithms, such as deep neural networks (DNNs). TMs are based on ...

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 ...