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A proof system for contact relation algebras
Journal of Philosophical Logic 29 (3):241-262 (2000)
Abstract
Contact relations have been studied in the context of qualitative geometry and physics since the early 1920s, and have recently received attention in qualitative spatial reasoning. In this paper, we present a sound and complete proof system in the style of Rasiowa and Sikorski (1963) for relation algebras generated by a contact relationLinks
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Citations of this work
Boolean connection algebras: A new approach to the Region-Connection Calculus.J. G. Stell - 2000 - Artificial Intelligence 122 (1-2):111-136.
Mereotopological Connection.Anthony G. Cohn & Achille C. Varzi - 2003 - Journal of Philosophical Logic 32 (4):357-390.
Tableaux and Dual Tableaux: Transformation of Proofs.Joanna Golińska-Pilarek & Ewa Orłowska - 2007 - Studia Logica 85 (3):283-302.
On the Decidability of Axiomatized Mereotopological Theories.Hsing-Chien Tsai - 2015 - Notre Dame Journal of Formal Logic 56 (2):287-306.
Relational proof systems for spatial reasoning.Joanna Golińska-Pilarek & Ewa Orlowska - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):409-431.
References found in this work
Process and reality: an essay in cosmology.Alfred North Whitehead - 1929 - New York: Free Press. Edited by David Ray Griffin & Donald W. Sherburne.
The mathematics of metamathematics.Helena Rasiowa - 1963 - Warszawa,: Państwowe Wydawn. Naukowe. Edited by Roman Sikorski.
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