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arXiv · 1302.1540

The Complexity of Plan Existence and Evaluation in Probabilistic Domains

Judy Goldsmith·Michael L. Littman·Martin Mundhenk
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Abstract

We examine the computational complexity of testing and finding small plans in probabilistic planning domains with succinct representations. We find that many problems of interest are complete for a variety of complexity classes: NP, co-NP, PP, NP^PP, co-NP^PP, and PSPACE. Of these, the probabilistic classes PP and NP^PP are likely to be of special interest in the field of uncertainty in artificial intelligence and are deserving of additional study. These results suggest a fruitful direction of future algorithmic development.

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Judy Goldsmith, Michael L. Littman, Martin Mundhenk. 2013-02-06. The Complexity of Plan Existence and Evaluation in Probabilistic Domains. https://arxiv.org/abs/1302.1540

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