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Autori principali: Aso-Mollar, Ángel, Aineto, Diego, Scala, Enrico, Onaindia, Eva
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2512.22367
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author Aso-Mollar, Ángel
Aineto, Diego
Scala, Enrico
Onaindia, Eva
author_facet Aso-Mollar, Ángel
Aineto, Diego
Scala, Enrico
Onaindia, Eva
contents Numeric planning with control parameters extends the standard numeric planning model by introducing action parameters as free numeric variables that must be instantiated during planning. This results in a potentially infinite number of applicable actions in a state. In this setting, off-the-shelf numeric heuristics that leverage the action structure are not feasible. In this paper, we identify a tractable subset of these problems--namely, controllable, simple numeric problems--and propose an optimistic compilation approach that transforms them into simple numeric tasks. To do so, we abstract control-dependent expressions into bounded constant effects and relaxed preconditions. The proposed compilation makes it possible to effectively use subgoaling heuristics to estimate goal distance in numeric planning problems involving control parameters. Our results demonstrate that this approach is an effective and computationally feasible way of applying traditional numeric heuristics to settings with an infinite number of possible actions, pushing the boundaries of the current state of the art.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22367
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Subgoaling Relaxation-based Heuristics for Numeric Planning with Infinite Actions
Aso-Mollar, Ángel
Aineto, Diego
Scala, Enrico
Onaindia, Eva
Artificial Intelligence
Numeric planning with control parameters extends the standard numeric planning model by introducing action parameters as free numeric variables that must be instantiated during planning. This results in a potentially infinite number of applicable actions in a state. In this setting, off-the-shelf numeric heuristics that leverage the action structure are not feasible. In this paper, we identify a tractable subset of these problems--namely, controllable, simple numeric problems--and propose an optimistic compilation approach that transforms them into simple numeric tasks. To do so, we abstract control-dependent expressions into bounded constant effects and relaxed preconditions. The proposed compilation makes it possible to effectively use subgoaling heuristics to estimate goal distance in numeric planning problems involving control parameters. Our results demonstrate that this approach is an effective and computationally feasible way of applying traditional numeric heuristics to settings with an infinite number of possible actions, pushing the boundaries of the current state of the art.
title Subgoaling Relaxation-based Heuristics for Numeric Planning with Infinite Actions
topic Artificial Intelligence
url https://arxiv.org/abs/2512.22367