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Can Euler Diagrams Improve Syllogistic Reasoning in Large Language Models?

  • Risako Ando
  • , Kentaro Ozeki
  • , Takanobu Morishita
  • , Hirohiko Abe
  • , Koji Mineshima
  • , Mitsuhiro Okada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In recent years, research on large language models (LLMs) has been advancing rapidly, making the evaluation of their reasoning abilities a crucial issue. Within cognitive science, there has been extensive research on human reasoning biases. It is widely observed that humans often use graphical representations as auxiliary tools during inference processes to avoid reasoning biases. However, currently, the evaluation of LLMs’ reasoning abilities has largely focused on linguistic inferences, with insufficient attention given to inferences using diagrams. In this study, we concentrate on syllogisms, a basic form of logical reasoning, and evaluate the reasoning abilities of LLMs supplemented by Euler diagrams. We systematically investigate how accurately LLMs can perform logical reasoning when using diagrams as auxiliary input and whether they exhibit similar reasoning biases to those of humans. Our findings indicate that, overall, providing diagrams as auxiliary input tends to improve models’ performance, including in problems that show reasoning biases, but the effect varies depending on the conditions, and the improvement in accuracy is not as high as that seen in humans. We present results from experiments conducted under multiple conditions, including a Chain-of-Thought setting, to highlight where there is room to improve logical diagrammatic reasoning abilities of LLMs.

Original languageEnglish
Title of host publicationDiagrammatic Representation and Inference - 14th International Conference, Diagrams 2024, Proceedings
EditorsJens Lemanski, Reetu Bhattacharjee, Mikkel Willum Johansen, Emmanuel Manalo, Petrucio Viana, Richard Burns
PublisherSpringer Science and Business Media Deutschland GmbH
Pages232-248
Number of pages17
ISBN (Print)9783031712906
DOIs
Publication statusPublished - 2024
Event14th International Conference on the Theory and Application of Diagrams, DIAGRAMS 2024 - Münster, Germany
Duration: 2024 Sept 272024 Oct 1

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14981 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference14th International Conference on the Theory and Application of Diagrams, DIAGRAMS 2024
Country/TerritoryGermany
CityMünster
Period24/9/2724/10/1

Keywords

  • Euler diagrams
  • Large language models
  • Syllogisms

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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