A Contrastive Plan Explanation Framework for Hybrid System Models

In artificial intelligence planning, having an explanation of a plan given by a planner is often desirable. The ability to explain various aspects of a synthesized plan to an end-user not only brings in trust on the planner but also reveals insights of the planning domain and the planning process. Contrastive questions such as "Why action A instead of action B?" can be answered with a contrastive explanation that compares properties of the original plan containing A against the contrastive plan containing B. In this paper, we explore a set of contrastive questions that a user of a planning tool may raise and we propose a re-model and re-plan framework to provide explanations to such questions. Earlier work has reported this framework on planning instances for discrete problem domains described in the Planning Domain Definition Language (PDDL) and its variants. In this paper, we propose an extension for planning instances described by PDDL+ for hybrid systems which portray a mix of discrete-continuous dynamics. Specifically, given a mixed discrete continuous system model in PDDL+ and a plan describing the set of desirable actions on the same to achieve a destined goal, we present a framework that can integrate contrastive questions in PDDL+ and synthesize alternate plans. We present a detailed case study on our approach and propose a comparison metric to compare the original plan with the alternate ones.