PP-2007-16: Modal and Temporal Logics for Abstract Space-Time Structures

PP-2007-16: Uckelman, Sara L. and Uckelman, Joel (2007) Modal and Temporal Logics for Abstract Space-Time Structures. [Report]

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In the 4th century BC, the Greek philosopher Diodoros Chronos gave a temporal definition of necessity. Because it connects modality and temporality, this definition is of interest to philosophers working within branching time or branching space-time models. This definition of necessity can be formalized and treated within a logical framework. We give a survey of the several known modal and temporal logics of abstract space-time structures based on the real numbers and the integers, considering three different accessibility relations between spatio-temporal points.

Item Type: Report
Report Nr: PP-2007-16
Series Name: Prepublication (PP) Series
Year: 2007
Uncontrolled Keywords: Diodoros Chronos; modal logic; n-dimensional space-time; temporal logic; necessity
Subjects: Logic
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/250

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