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- W62367005 abstract "We present a complete axiomatization of a logic denoted by MTML (Mereo-Topological Modal Logic) based on the followin g set of mereotopological relations: part-of, overlap, underlap, contact, dual con- tact and interior part-of. We prove completeness theorems for MTML with respect to several classes of models including the standard topological mod- els over the set of regular-closed subsets of arbitrary topo logical spaces. We show that MTML possesses fmp with respect to a class of non-st andard models, which implies its decidability. In this way we propose also a solu- tion of the main open problem, formulated in (17) to find a decidable modal logic for topological relations." @default.
- W62367005 created "2016-06-24" @default.
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- W62367005 date "2008-01-01" @default.
- W62367005 modified "2023-09-26" @default.
- W62367005 title "Modal logics for mereotopological relations" @default.
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