On Exploiting Hitting Sets for Model Reconciliation

In human-aware planning, a planning agent may need to provide an explanation to a human user on why its plan is optimal. A popular approach to do this is called model reconciliation, where the agent tries to reconcile the differences in its model and the human’s model such that the plan is also optimal in the human’s model. In this paper, we present a logicbased framework for model reconciliation that extends beyond the realm of planning. More specifically, given a knowledge base KB1 entailing a formula ϕ and a second knowledge base KB2 not entailing it, model reconciliation seeks an explanation, in the form of a cardinality-minimal subset of KB1, whose integration into KB2 makes the entailment possible. Our approach, based on ideas originating in the context of analysis of inconsistencies, exploits the existing hitting set duality between minimal correction sets (MCSes) and minimal unsatisfiable sets (MUSes) in order to identify an appropriate explanation. However, differently from those works targeting inconsistent formulas, which assume a single knowledge base, MCSes and MUSes are computed over two distinct knowledge bases. We conclude our paper with an empirical evaluation of the newly introduced approach on planning instances, where we show how it outperforms an existing stateof-the-art solver, and generic non-planning instances from recent SAT competitions, for which no other solver exists.

Authors

• Stylianos Loukas Vasileiou New Mexico State University
• Alessandro Previti
• William Yeoh Washington University in St. Louis

Keywords

No keywords are indexed for this paper.