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This research addresses the critical challenge of maintaining statistical validity in open-ended autonomous scientific discovery using LLMs, moving beyond static hypothesis testing to handle evolving physical laws and undiscovered explanations. By formalizing the problem through possibility theory and introducing an algorithm for abductive utility, the authors provide a rigorous framework for adaptive exploration where the current best hypothesis may not represent the ultimate truth. The work represents a significant theoretical advance in ensuring that AI-driven discovery processes remain robust and asymptotically optimal even as background knowledge is revised.
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Open-ended Scientific Discovery with Possibilistic Reasoning

arXiv2 min read

arXiv:2610.11289v1 Announce Type: new Abstract: Autonomous scientific discovery with LLMs requires generating and testing hypotheses adaptively as evidence accumulates while maintaining statistical validity. Existing anytime-valid methods can handle data-dependent hypotheses, but open-ended discovery poses a deeper challenge: the best discovered hypothesis may still be the best of a bad lot, with better explanations yet undiscovered, while even background knowledge such as physical laws may require revision in light of new findings. In response, we formalize the problem as Abductive Autonomous Scientific Discovery (AASD) using possibility theory. We introduce abductive utility, a computable measure of discovery progress, and possibility frontier search, the first algorithm for AASD, which maintains anytime validity and achieves $\varepsilon$-optimal abductive utility asymptotically under suitable conditions. Experiments on synthetic and real-world scientific-discovery tasks show strong performance.

Abstract:Autonomous scientific discovery with LLMs requires generating and testing hypotheses adaptively as evidence accumulates while maintaining statistical validity. Existing anytime-valid methods can handle data-dependent hypotheses, but open-ended discovery poses a deeper challenge: the best discovered hypothesis may still be the best of a bad lot, with better explanations yet undiscovered, while even background knowledge such as physical laws may require revision in light of new findings. In response, we formalize the problem as Abductive Autonomous Scientific Discovery (AASD) using possibility theory. We introduce abductive utility, a computable measure of discovery progress, and possibility frontier search, the first algorithm for AASD, which maintains anytime validity and achieves $\varepsilon$-optimal abductive utility asymptotically under suitable conditions. Experiments on synthetic and real-world scientific-discovery tasks show strong performance.

Artificial Intelligence (cs.AI)

arXiv:2610.11289 [cs.AI]

(or arXiv:2610.11289v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2610.11289 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 217 words

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