We study OST and some of its most important extensions primarily from a proof-theoretic perspective, determine their consistency strengths by exhibiting equivalent systems in the ...
Abstract. We define a notion of symmetric monoidal closed (smc) theory, consisting of a smc signature augmented with equations, and describe the classifying categories of such theo...
In this paper we develop a representational approach to media theory. We construct representations of media by well-graded families of sets and partial cubes and establish the uni...
For a long time people have been trying to develop probability theory starting from `finite' events rather than collections of infinite events. In this way one can find natura...
re more abstract than necessary. They depend on assumptions that are highly unlikely to occur in practical situations, which are often less formal and rigid. Nonetheless, we discus...