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Parameterized Complexity of Optimal Planning: A Detailed Map

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Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence. Pages 954-960.

Abstract

The goal of this paper is a systematic parameterized complexity analysis of different variants of propositional STRIPS planning. We identify several natural problem parameters and study all possible combinations of 9 parameters in 6 different settings. These settings arise, for instance, from the distinction if negative effects of actions are allowed or not. We provide a complete picture by establishing for each case either paraNP-hardness (i.e., the parameter combination does not help) or W[t]-completeness with t ∈ 1,2 (i.e., fixed-parameter intractability), or FPT (i.e., fixed-parameter tractability).

Martin Kronegger, Andreas Pfandler, and Reinhard Pichler. 2013. Parameterized Complexity of Optimal Planning: A Detailed Map. In Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence, IJCAI-13. IJCAI, 954–960. https://ijcai.org/proceedings/2013/146
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