[HTML][HTML] Boundary

A Varzi - 2004 - plato.sydney.edu.au
We think of a boundary whenever we think of an entity demarcated from its surroundings.
There is a boundary (a line) separating Maryland and Pennsylvania. There is a boundary (a …

[PDF][PDF] Modal logics for region-based theories of space

P Balbiani, T Tinchev, D Vakarelov - Fundamenta Informaticae, 2007 - researchgate.net
Modal Logics for Region-based Theories of Space Introduction Page 1 Fundamenta Informaticae
81 (2007) 29–82 29 IOS Press Modal Logics for Region-based Theories of Space Philippe …

Admissibility of Π2-Inference Rules: interpolation, model completion, and contact algebras

N Bezhanishvili, L Carai, S Ghilardi, L Landi - Annals of Pure and Applied …, 2023 - Elsevier
We devise three strategies for recognizing admissibility of non-standard inference rules via
interpolation, uniform interpolation, and model completions. We apply our machinery to the …

[HTML][HTML] A strict implication calculus for compact Hausdorff spaces

G Bezhanishvili, N Bezhanishvili, T Santoli… - Annals of Pure and …, 2019 - Elsevier
We introduce a simple modal calculus for compact Hausdorff spaces. The language of our
system extends that of propositional logic with a strict implication connective, which, as …

Region-based theories of space: Mereotopology and beyond

T Hahmann, M Grüninger - Qualitative spatio-temporal …, 2012 - igi-global.com
This chapter focuses on the topological and mereological relations, contact, and parthood,
between spatio-temporal regions as axiomatized in so-called mereotopologies. Despite, or …

A calculus of regions respecting both measure and topology

T Lando, D Scott - Journal of Philosophical Logic, 2019 - Springer
Say that space is 'gunky'if every part of space has a proper part. Traditional theories of gunk,
dating back to the work of Whitehead in the early part of last century, modeled space in the …

[PDF][PDF] Mereology for STEAM and education research

A Mani - EpiSTEMe, 2022 - researchgate.net
Mereology is widely applied in STEAM and philosophy. However, serious applications tend
to be restricted to specialist groups or the nature of applications is too focused. In addition …

A study in Grzegorczyk point-free topology Part I: Separation and Grzegorczyk structures

R Gruszczyński, A Pietruszczak - Studia Logica, 2018 - Springer
This is the first, out of two papers, devoted to Andrzej Grzegorczyk's point-free system of
topology from Grzegorczyk (Synthese 12 (2–3): 228–235, 1960. https://doi. org/10.1007 …

A reconciliation of logical representations of space: from multidimensional mereotopology to geometry

T Hahmann - 2013 - library-archives.canada.ca
Abstract Reasoning about spatial knowledge is an important aspect of computational
intelligence. Humans easily switch between high-level and low-level spatial knowledge …

[PDF][PDF] Precontact relations and quasi-modal operators in Boolean algebras

S Celani - Actas del XIII congreso Dr. Antonio AR Monteiro, 2016 - researchgate.net
In Boolean algebras the notion of quasi-modal operator is equivalent to the notion of
precontact relation. This equivalence offers a new perspective to study the representation of …