A topological constraint language is a formal language whose variables range over certain subsets of topological spaces, and whose nonlogical primitives are interpreted as topologi...
Consistency-based approaches in nonmonotonic reasoning may be expected to yield multiple sets of default conclusions for a given default theory. Reasoning about such extensions is ...
In [8, 6] we introduced a family of `modal' languages intended for talking about distances. These languages are interpreted in `distance spaces' which satisfy some (or a...
Oliver Kutz, Holger Sturm, Nobu-Yuki Suzuki, Frank...
We prove frame determination results for the family of many-valued modal logics introduced by M. Fitting in the early '90s. Each modal language of this family is based on a H...
Costas D. Koutras, Christos Nomikos, Pavlos Peppas
ABSTRACT. It has long been recognized that the concept of inconsistency is a central part of commonsense reasoning. In this issue, a number of authors have explored the idea of rea...
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...