Computational Complexity of Planning for Recursive Primitive Task Networks: Selective Action Nullification with State Preservation. Zhang, Y. & Bercher, P. In Proceedings of the 34th International Joint Conference on Artificial Intelligence (IJCAI 2025), 2025. IJCAI.
Computational Complexity of Planning for Recursive Primitive Task Networks: Selective Action Nullification with State Preservation [pdf]Paper  abstract   bibtex   3 downloads  
This paper investigates fundamental aspects of hierarchical task network (HTN) planning by systematically exploring recursive arrangements of primitive task networks. Working within a general framework that aligns with recently identified Ackermann-complete HTN problems, we map the computational complexity across various recursive configurations, revealing a rich complexity landscape. Through a novel proof technique based on selective action nullification with state preservation, we demonstrate that even a highly restricted class of regular HTN problems remains PSPACE-complete, establishing a profound connection to classical planning. We hope these findings contribute to a deeper and broader understanding of the theoretical foundations of HTN planning.

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