Decomposition of Decidable First-Order Logics over Integers and Reals

dc.creatorBouchy, Florent
dc.creatorFinkel, Alain
dc.creatorLeroux, Jérôme
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:11:42Z
dc.date.available2026-07-07T12:11:42Z
dc.descriptionWe tackle the issue of representing infinite sets of real- valued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose three well-known logics extending Presburger with reals. Our decomposition splits a logic into two parts : one integer, and one decimal (i.e. on the interval [0,1]). We also give a basis for an implementation of our representation.
dc.identifierhttps://arxiv.org/abs/0812.1967
dc.identifierhttp://arxiv.org/abs/0812.1967
dc.identifierTemporal Representation and Reasoning, 2008. TIME '08. 15th International Symposium on, Montreal, QC : Canada (2008)
dc.identifierdoi:10.1109/TIME.2008.22
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210304
dc.subjectLogic in Computer Science
dc.titleDecomposition of Decidable First-Order Logics over Integers and Reals
dc.typetext

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