Title | Modal logic for 3D incidence geometry |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Gerassimov O |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 99 |
Keywords | Axiomatization, Completeness Theorem, equivalence relations, Incidence Geometry, Modal Logic of Irreflexivity |
Abstract | Three sorted geometrical space of incidence is represented as equivalent uni-sorted objects structure of incidences, and a modal logic using three equivalence relations and a difference relation is used to axiomatize that class. Completeness theorem is proven. |
Attachment | Size |
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99-037-067.pdf | 3.1 MB |