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Auteurs principaux: Della Monica, Dario, Montanari, Angelo, Sala, Pietro
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2507.17988
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author Della Monica, Dario
Montanari, Angelo
Sala, Pietro
author_facet Della Monica, Dario
Montanari, Angelo
Sala, Pietro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17988
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Synthesis of timeline-based planning strategies avoiding determinization
Della Monica, Dario
Montanari, Angelo
Sala, Pietro
Artificial Intelligence
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.
title Synthesis of timeline-based planning strategies avoiding determinization
topic Artificial Intelligence
url https://arxiv.org/abs/2507.17988