A Temporal Logic for Modelling Activities of Daily Living

A Temporal Logic for Modelling Activities of Daily Living

Kließ, M.S. (TU Delft Interactive Intelligence)
Jonker, C.M. (TU Delft Interactive Intelligence; Universiteit Leiden)
van Riemsdijk, M.B. (TU Delft Interactive Intelligence)

Alechina, N. (editor)
Nørvåg, Kjetil (editor)
Penczek, Wojciech (editor)

2018-10-01

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 TPTL_bih 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 TPTL_bih 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.

Durative activities
Reasoning
Temporal logic

http://resolver.tudelft.nl/uuid:24ff871a-1ea7-49ce-9289-18b9eaf4c523

https://doi.org/10.4230/LIPIcs.TIME.2018.17

Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing

978-3-95977-089-7

25th International Symposium on Temporal Representation and Reasoning, TIME 2018

25th International Symposium on Temporal Representation and Reasoning, TIME 2018, 2018-10-15 → 2018-10-17, Warsaw, Poland

Leibniz Internatioanl Proceedings in Informatics, 1868-8969, 120

Institutional Repository

conference paper

© 2018 M.S. Kließ, C.M. Jonker, M.B. van Riemsdijk