The Complexity of Norm Synthesis and Revision
Davide Dell’Anna (TU Delft - Control & Simulation)
Natasha Alechina (Universiteit Utrecht)
Fabiano Dalpiaz (Universiteit Utrecht)
Mehdi Dastani (Universiteit Utrecht)
Maarten Löffler (Universiteit Utrecht)
Brian Logan (University of Aberdeen, Universiteit Utrecht)
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Abstract
Norms have been widely proposed as a way of coordinating and controlling the activities of agents in a multi-agent system (MAS). A norm specifies the behaviour an agent should follow in order to achieve the objective of the MAS. However, designing norms to achieve a particular system objective can be difficult, particularly when there is no direct link between the language in which the system objective is stated and the language in which the norms can be expressed. In this paper, we consider the problem of synthesising a norm from traces of agent behaviour, where each trace is labelled with whether the behaviour satisfies the system objective. We show that the norm synthesis problem and several related problems are NP-complete.