We introduce the notion of a candidate for “multiple valued universal constructions” and define stable functors (which generalise functors with left adjoints) in terms of fac...
We show in this paper a special extended logic, partition logic based on so called partition quantifiers, is able to capture some important complexity classes NP, P and NL by its ...
The notion of assumption-based framework generalises and re nes the use of abduction to give a formalisation of non-monotonic reasoning. In this framework, a sentence is a non-mon...
Andrei Bondarenko, Francesca Toni, Robert A. Kowal...
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
Abstract. We describe two methods on the basis of which efficient resolution decision procedures can be developed for a range of description logics. The first method uses an orderi...