A mathematical framework for the semantics of symbolic languages representing periodic time

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Abstract

In several areas, including Temporal DataBases, Presburger Arithmetic has been chosen as a standard reference to express the semantics of languages representing periodic time, and to study their expressiveness. On the other hand, the proposal of most symbolic languages in the AI literature has not been paired with an adequate semantic counterpart, making the task of studying the expressiveness of such languages and of comparing them a very complex one. In this paper, we first define a representation language which enables us to handle each temporal point as a complex object enriched with all the structure it is immersed in, and then we use it in order to provide a Presburger semantics for classes of symbolic languages coping with periodicity.

Lingua originaleInglese
Pagine21-27
Numero di pagine7
DOI
Stato di pubblicazionePubblicato - 2004
EventoProceedings - 11th International Symposium on Temporal Representation and Reasoning (TIME 2004) - Tatihou, France
Durata: 1 lug 20043 lug 2004

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???event.eventtypes.event.conference???Proceedings - 11th International Symposium on Temporal Representation and Reasoning (TIME 2004)
Paese/TerritorioFrance
CittàTatihou
Periodo1/07/043/07/04

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