Allen’s interval algebra and smart-type environments

Article

Chuckravanen, D., Daykin, J., Hunsdale, K. and Seeam, A. 2017. Allen’s interval algebra and smart-type environments. International Journal on Advances in Software. 10 (3 & 4), pp. 221-230.
TypeArticle
TitleAllen’s interval algebra and smart-type environments
AuthorsChuckravanen, D., Daykin, J., Hunsdale, K. and Seeam, A.
Abstract

Allen’s interval algebra is a calculus for temporal reasoning that was introduced in 1983. Reasoning with qualitative time in Allen’s full interval algebra is nondeterministic polynomial time (NP) complete. Research since 1995 identified maximal tractable subclasses of this algebra via exhaustive computer search and also other ad-hoc methods. In 2003, the full classification of complexity for satisfiability problems over constraints in Allen’s interval algebra was established algebraically. Recent research proposed scheduling based on the Fishburn-Shepp correlation inequality for posets. This article first reviews Allen’s calculus and surrounding computational issues in temporal reasoning. We then go on to describe three potential temporal-related application areas as candidates for scheduling using the Fishburn-Shepp inequality. We also illustrate through concrete examples, and conclude the importance of FishburnShepp inequality for the suggested application areas that are the development of smart homes, intelligent conversational agents and in physiology with emphasis during time-trial physical exercise. The Fishburn-Shepp inequality will enable the development of smart type devices, which will in turn help us to have a better standard of living.

Middlesex University ThemeHealth & Wellbeing
PublisherIARIA
JournalInternational Journal on Advances in Software
ISSN1942-2628
Publication dates
Online01 Jul 2017
Publication process dates
Deposited05 Oct 2022
Accepted01 Jun 2017
Output statusPublished
Web address (URL)http://www.iariajournals.org/software/tocv10n34.html
LanguageEnglish
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