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PRODID:-//University of Liverpool Computer Science Seminar System//v2//EN
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DTSTAMP:20260921T210744Z
UID:Seminar-ARK-1102@lxserverM.csc.liv.ac.uk
ORGANIZER:CN=Louwe Kuijer:MAILTO:Louwe.Kuijer@liverpool.ac.uk
DTSTART:20210607T160000
DTEND:20210607T170000
SUMMARY:Argumentation and Representation of Knowledge Series
DESCRIPTION:Fabio Papacchini: Finite Models for a Spatial Logic with Discrete and Topological Path Operators\n\nhis paper analyses models of a spatial logic with path operators based on the class of neighbourhood spaces, also called pretopological or closure spaces, a generalisation of topological spaces. For this purpose, we distinguish two dimensions: the type of spaces on which models are built, and the type of allowed paths. For the spaces, we investigate general neighbourhood spaces and the subclass of quasi-discrete spaces, which closely resemble graphs. For the paths, we analyse the cases of quasi-discrete paths, which consist of an enumeration of points, and topological paths, based on the unit interval. We show that the logic admits finite models over quasi-discrete spaces, both with quasi-discrete and topological paths.\nFinally, we prove that for general neighbourhood spaces, the logic does not have the finite model property, either for quasi-discrete or topological paths.\n\nCo-authors: Sven Linker (Lancaster University Leipzig) and Michele Sevegnani (University of Glasgow)\n\nhttps://www.csc.liv.ac.uk/research/seminars/abstract.php?id=1102
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