We introduce special pseudo-models for the interval logic of propersubintervalsoverdense linear orderings. We prove finite model property with respect to such pseudo-models, and using that result we develop a decision procedure based on a sound, complete, and terminatingtableau for that logic. The case of propersubintervals is essentially more complicated than the case of strict subintervals, for which we developed a similar tableau-based decision procedure in a recent work.

Complete and Terminating Tableau for the Logic of Proper Subinterval Structures Over Dense Orderings

BRESOLIN, Davide;SALA, Pietro
2009-01-01

Abstract

We introduce special pseudo-models for the interval logic of propersubintervalsoverdense linear orderings. We prove finite model property with respect to such pseudo-models, and using that result we develop a decision procedure based on a sound, complete, and terminatingtableau for that logic. The case of propersubintervals is essentially more complicated than the case of strict subintervals, for which we developed a similar tableau-based decision procedure in a recent work.
Interval Temporal Logic; Tableau Method; Dense Structure
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/318869
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