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Reasoning Abilities of Large Language Models: In-Depth Analysis on the Abstraction and Reasoning Corpus

Paper · 2024 · Seungpil Lee, Woochang Sim, Donghyeon Shin et al.

Summary

Most ways of testing LLM reasoning only check whether the final answer is correct, so they reveal little about how the model reached it. This paper proposes a process-oriented evaluation based on the Language of Thought Hypothesis (LoTH), which describes human thinking through three properties: Logical Coherence, Compositionality and Productivity. The authors adapt these ideas from psychology for computer science and test each one on the Abstraction and Reasoning Corpus (ARC). ARC is a visual grid-puzzle benchmark that needs little prior knowledge, is still hard to solve, and is easy to modify.

Each property gets its own experiment:

  • Coherence: models face many variants of tasks they already solved, and the authors check whether correct answers come from sound reasoning.
  • Compositionality: models must choose and chain step-by-step DSL functions.
  • Productivity: models must generate new tasks that follow given rules.

The models show basic image understanding and handle simple object manipulations. However, they fall clearly short of humans on all three properties. The study matters because it offers a framework for judging how models reason, not just what scores they get.

Key points

  • An ARC task has 2–5 demonstration pairs and a test input. Grids range from 1×1 to 30×30 and use up to 10 colors.
  • Reported reference accuracies on ARC: about 80% for humans, 40–55% for the best specialised systems, and roughly 10–20% for LLMs such as GPT-4 and PaLM.
  • For Logical Coherence, each solved ARC task was expanded with 100 similar test examples. The authors also flagged cases where right answers came from flawed reasoning.
  • LLMs struggled to select DSL functions even when given extra context, and their performance dropped as task complexity grew.
  • When asked to generate new ARC tasks, LLMs mostly imitated patterns they had seen instead of applying the abstract rules.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

 Institutions

Also on the byline: Gwangju Institute of Science and Technology.

 Fields, topics and concepts

Cite

Cite as Seungpil Lee, Woochang Sim, Donghyeon Shin, Wongyu Seo, Jiwon Park, Seokki Lee, Sanha Hwang, Sejin Kim and Sundong Kim. 2024. Reasoning Abilities of Large Language Models: In-Depth Analysis on the Abstraction and Reasoning Corpus. arXiv:2403.11793.

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.48550/arxiv.2403.11793 · arXiv 2403.11793

@misc{lee2024reasoning,
  title = {{Reasoning Abilities of Large Language Models: In-Depth Analysis on the Abstraction and Reasoning Corpus}},
  author = {Seungpil Lee, Woochang Sim, Donghyeon Shin, Wongyu Seo, Jiwon Park, Seokki Lee, Sanha Hwang, Sejin Kim and Sundong Kim},
  year = {2024},
  doi = {10.48550/arxiv.2403.11793},
  eprint = {2403.11793},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.48550/arxiv.2403.11793}
}

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