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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 3, Pages 97–104
(Mi ppi21)
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Large Systems
On Modal Logics of Some Geometric Structures
I. B. Shapirovskii A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Abstract:
We study modal logics of regions in a real space ordered by the inclusion and
compact inclusion relations. For various systems of regions, we propose complete finite modal
axiomatizations; the described logics are finitely approximable and PSPACE-complete.
Received: 19.06.2007
Citation:
I. B. Shapirovskii, “On Modal Logics of Some Geometric Structures”, Probl. Peredachi Inf., 43:3 (2007), 97–104; Problems Inform. Transmission, 43:3 (2007), 255–262
Linking options:
https://www.mathnet.ru/eng/ppi21 https://www.mathnet.ru/eng/ppi/v43/i3/p97
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