We present a resolution-based decision procedure for the description logic SHOIQ--the logic underlying the Semantic Web ontology language OWL-DL. Our procedure is goal-oriented, an...
We present a proof procedure that is complete for first-order logic, but which can also be used when searching for finite models. The procedure uses a normal form which is based on...
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Abstract. Pocket KRHyper is a reasoning system for Java-enabled mobile devices. The core of the system is a first order theorem prover and model generator based on the hyper table...