| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4663259 | Journal of Applied Logic | 2007 | 14 Pages |
Abstract
We consider the binary relations of parallelism and convergence between lines in a 2-dimensional affine space. Associating with parallelism and convergence the binary predicates P and C and the modal connectives [P] and [C], we consider a first-order theory based on these predicates and a modal logic based on these modal connectives. We investigate the axiomatization/completeness and the decidability/complexity of this first-order theory and this modal logic.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Philippe Balbiani, Tinko Tinchev,