InductionBench: LLMs Fail in the Simplest Complexity Class

Fuente: arXiv
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Auteurs principaux: Hua, Wenyue, Wong, Tyler, Fei, Sun, Pan, Liangming, Jardine, Adam, Wang, William Yang
Format: Preprint
Publié: 2025
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author Hua, Wenyue
Wong, Tyler
Fei, Sun
Pan, Liangming
Jardine, Adam
Wang, William Yang
author_facet Hua, Wenyue
Wong, Tyler
Fei, Sun
Pan, Liangming
Jardine, Adam
Wang, William Yang
contents Large language models (LLMs) have shown remarkable improvements in reasoning and many existing benchmarks have been addressed by models such as o1 and o3 either fully or partially. However, a majority of these benchmarks emphasize deductive reasoning, including mathematical and coding tasks in which rules such as mathematical axioms or programming syntax are clearly defined, based on which LLMs can plan and apply these rules to arrive at a solution. In contrast, inductive reasoning, where one infers the underlying rules from observed data, remains less explored. Such inductive processes lie at the heart of scientific discovery, as they enable researchers to extract general principles from empirical observations. To assess whether LLMs possess this capacity, we introduce InductionBench, a new benchmark designed to evaluate the inductive reasoning ability of LLMs. Our experimental findings reveal that even the most advanced models available struggle to master the simplest complexity classes within the subregular hierarchy of functions, highlighting a notable deficiency in current LLMs' inductive reasoning capabilities. Coda and data are available https://github.com/Wenyueh/inductive_reasoning_benchmark.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15823
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle InductionBench: LLMs Fail in the Simplest Complexity Class
Hua, Wenyue
Wong, Tyler
Fei, Sun
Pan, Liangming
Jardine, Adam
Wang, William Yang
Machine Learning
Artificial Intelligence
Computation and Language
Formal Languages and Automata Theory
Large language models (LLMs) have shown remarkable improvements in reasoning and many existing benchmarks have been addressed by models such as o1 and o3 either fully or partially. However, a majority of these benchmarks emphasize deductive reasoning, including mathematical and coding tasks in which rules such as mathematical axioms or programming syntax are clearly defined, based on which LLMs can plan and apply these rules to arrive at a solution. In contrast, inductive reasoning, where one infers the underlying rules from observed data, remains less explored. Such inductive processes lie at the heart of scientific discovery, as they enable researchers to extract general principles from empirical observations. To assess whether LLMs possess this capacity, we introduce InductionBench, a new benchmark designed to evaluate the inductive reasoning ability of LLMs. Our experimental findings reveal that even the most advanced models available struggle to master the simplest complexity classes within the subregular hierarchy of functions, highlighting a notable deficiency in current LLMs' inductive reasoning capabilities. Coda and data are available https://github.com/Wenyueh/inductive_reasoning_benchmark.
title InductionBench: LLMs Fail in the Simplest Complexity Class
topic Machine Learning
Artificial Intelligence
Computation and Language
Formal Languages and Automata Theory
url https://arxiv.org/abs/2502.15823