Reformulating path-planning problems by task-preserving abstraction

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Abstract

Viewing each path planning problem as unique forces the planner to consider all available maneuvers in each new situation. This is exponental in the number of degrees of freedom of the robot. It is preferable to consider only certain key aspects of each problem, and to generate a plan based only on these aspects. This approach possesses two advantages: (1) it permits reuse of plans in similar situations, which reduces (or even eliminates) the cost of searching among alternative maneuvers. and (2) it reduces the number of aspects of the situation that must be sensed by the system, which reduces the sensory cost. In this paper, it is shown how to classify path planning problems according to their algebraic structure. A technique is given that is applicable to robots whose actions are reversible. Each class of problems is characterized by a particular set of maneuvers that solves all problems in the class.

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