mlsanityData to 14 Oct 2026

On LLM-Based Scientific Inductive Reasoning Beyond Equations

arXiv 2509.16226 ↗First posted 12 Sep 2025cs.CL cs.AIcited by 2

On the map: LLM reasoning → Reasoning benchmarks and evaluation

Abstract (arXiv)

As large language models (LLMs) increasingly exhibit human-like capabilities, a fundamental question emerges: How can we enable LLMs to learn the underlying patterns from limited examples in entirely novel environments and apply them effectively? This question is central to the ability of LLMs in inductive reasoning. Existing research on LLM-based inductive reasoning can be broadly categorized based on whether the underlying rules are expressible via explicit mathematical equations. However, many recent studies in the beyond-equations category have emphasized rule design without grounding them in specific scenarios. Inspired by the parallels between inductive reasoning and human scientific discovery, we propose the task of LLM-Based Scientific Inductive Reasoning Beyond Equations and introduce a new benchmark, SIRBench-V1, to evaluate the inductive reasoning abilities of LLMs in scientific settings. Our experimental results show that current LLMs still struggle with this task, underscoring its difficulty and the need for further advancement in this area.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 4 of its 49 references that are in the map. First posted on arXiv 12 Sep 2025.

Builds on

4 of 49 references.

References · 4

  1. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
  2. 2024OpenAI o1 System Cardcited by 1,244
  3. 2019On the Measure of Intelligencecited by 144
  4. 2025AI-Newton: A Concept-Driven Physical Law Discovery System without Prior Physical Knowledgecited by 5

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 2.

2 papers.

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  1. 2025InductionBench: LLMs Fail in the Simplest Complexity Class
  2. 2024Inductive or Deductive? Rethinking the Fundamental Reasoning Abilities of LLMs
  3. 2026FALSIFYBENCH: Evaluating Inductive Reasoning in LLMs with Rule Discovery Games
  4. 2025A Survey of Inductive Reasoning for Large Language Models
  5. 2026Scientific Logicality Enriched Methodology for LLM Reasoning: A Practice in Physics
  6. 2024Can LLMs Compute with Reasons?
  7. 2023Large Language Model for Science: A Study on P vs. NP
  8. 2024The Role of Deductive and Inductive Reasoning in Large Language Models