[2507.17988] Synthesis of timeline-based planning strategies avoiding determinization

Computer Science > Artificial Intelligence arXiv:2507.17988 (cs) [Submitted on 23 Jul 2025 (v1), last revised 30 Mar 2026 (this version, v2)] Title:Synthesis of timeline-based planning strategies avoiding determinization Authors:Dario Della Monica, Angelo Montanari, Pietro Sala View a PDF of the paper titled Synthesis of timeline-based planning strategies avoiding determinization, by Dario Della Monica and 2 other authors View PDF HTML (experimental) Abstract:Qualitative timeline-based planning models domains as sets of independent, but interacting, components whose behaviors over time, the timelines, are governed by sets of qualitative temporal constraints (ordering relations), called synchronization rules. Its plan-existence problem has been shown to be PSPACE-complete; in particular, PSPACE-membership has been proved via reduction to the nonemptiness problem for nondeterministic finite automata. However, nondeterministic automata cannot be directly used to synthesize planning strategies as a costly determinization step is needed. In this paper, we identify a fragment of qualitative timeline-based planning whose plan-existence problem can be directly mapped into the nonemptiness problem of deterministic finite automata, which can then synthesize strategies. In addition, we identify a maximal subset of Allen's relations that fits into such a deterministic fragment. Comments: Subjects: Artificial Intelligence (cs.AI) Cite as: arXiv:2507.17988 [cs.AI]   (or arXiv:2507.17988...