The main result of this paper is the following theorem: each modal logic extending K4 having the branching property below m and the effective m-drop point property is decidable with respect to ...

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 ...

Instead of bending a training-centric design, we must start with a clean sheet and apply a new set of rules tailored to ...

EIGHTY years ago, Jevons, then professor of logic at Owens College (now the University of Manchester), built a machine which could perform logical inference by mechanical means 1. Other similar ...

Knowledge representation and reasoning form the intellectual backbone of artificial intelligence, facilitating the structured encoding of information and enabling systems to infer, learn and decide in ...