A Temporal Logic for Modelling Activities of Daily Living

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Abstract

Behaviour support technology is aimed at assisting people in organizing their Activities of Daily Living (ADLs). Numerous frameworks have been developed for activity recognition and for generating specific types of support actions, such as reminders. The main goal of our research is to develop a generic formal framework for representing and reasoning about ADLs and their temporal relations. This framework should facilitate modelling and reasoning about 1) durative activities, 2) relations between higher-level activities and subactivities, 3) activity instances, and 4) activity duration. In this paper we present a temporal logic as an extension of the logic TPTL for specification of real-time systems. Our logic TPTLbih is defined over Behaviour Identification Hierarchies (BIHs) for representing ADL structure and typical activity duration. To model execution of ADLs, states of the temporal traces in TPTLbih comprise information about the start, stop and current execution of activities. We provide a number of constraints on these traces that we stipulate are desired for the accurate representation of ADL execution, and investigate corresponding validities in the logic. To evaluate the expressivity of the logic, we give a formal definition for the notion of Coherence for (complex) activities, by which we mean that an activity is done without interruption and in a timely fashion. We show that the definition is satisfiable in our framework. In this way the logic forms the basis for a generic monitoring and reasoning framework for ADLs.

Original languageEnglish
Title of host publication25th International Symposium on Temporal Representation and Reasoning, TIME 2018
EditorsN. Alechina, Kjetil Nørvåg, Wojciech Penczek
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages17:1-17:15
Number of pages15
ISBN (Electronic)978-3-95977-089-7
DOIs
Publication statusPublished - 1 Oct 2018
Event25th International Symposium on Temporal Representation and Reasoning, TIME 2018 - Warsaw, Poland
Duration: 15 Oct 201817 Oct 2018

Publication series

NameLeibniz Internatioanl Proceedings in Informatics
PublisherLZI
Volume120
ISSN (Electronic)1868-8969

Conference

Conference25th International Symposium on Temporal Representation and Reasoning, TIME 2018
CountryPoland
CityWarsaw
Period15/10/1817/10/18

Keywords

  • Durative activities
  • Reasoning
  • Temporal logic

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