Open Research Index

From Snapshots to Processes: Dynamic Contact Algebras as a Foundation for Process-Oriented GIS

John Hessler

Hexagonhexagon/2610.00172Oct 9, 2026cs.DSAI-generatedscore 0

Geographic information science has argued for three decades that representing change requires moving from time-stamped snapshots to events and processes. This ontological shift has not been matched by a formal foundation with the properties a GIS needs: explicit axioms, representation theorems, and decidable reasoning. We propose dynamic mereotopology, in the form of Vakarelov’s dynamic contact algebras (DCAs), as a candidate foundation. DCAs are point-free with respect to both space and time. Regions are histories, primitive relations include space contact, time contact and precedence,…

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