TY - GEN
T1 - A Temporal Logic for Modelling Activities of Daily Living
AU - Kließ, Malte S.
AU - Jonker, Catholijn M.
AU - van Riemsdijk, M. Birna
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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.
AB - 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.
KW - Durative activities
KW - Reasoning
KW - Temporal logic
UR - http://www.scopus.com/inward/record.url?scp=85055534055&partnerID=8YFLogxK
U2 - 10.4230/LIPIcs.TIME.2018.17
DO - 10.4230/LIPIcs.TIME.2018.17
M3 - Conference contribution
AN - SCOPUS:85055534055
T3 - Leibniz Internatioanl Proceedings in Informatics
SP - 17:1-17:15
BT - 25th International Symposium on Temporal Representation and Reasoning, TIME 2018
A2 - Alechina, N.
A2 - Nørvåg, Kjetil
A2 - Penczek, Wojciech
PB - Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
T2 - 25th International Symposium on Temporal Representation and Reasoning, TIME 2018
Y2 - 15 October 2018 through 17 October 2018
ER -