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Auteurs principaux: Baek, Shaun, Esua-Mensah, Shaun, Tsui, Cyrus, Vigneswaralingam, Sejan, Alali, Abdullah, Lu, Michael, Sharma, Vasu, O'Brien, Sean, Zhu, Kevin
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2505.00001
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author Baek, Shaun
Esua-Mensah, Shaun
Tsui, Cyrus
Vigneswaralingam, Sejan
Alali, Abdullah
Lu, Michael
Sharma, Vasu
O'Brien, Sean
Zhu, Kevin
author_facet Baek, Shaun
Esua-Mensah, Shaun
Tsui, Cyrus
Vigneswaralingam, Sejan
Alali, Abdullah
Lu, Michael
Sharma, Vasu
O'Brien, Sean
Zhu, Kevin
contents Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resource settings and in tasks requiring deep logical reasoning. This research introduces Rosetta-PL, a benchmark designed to evaluate LLMs' logical reasoning and generalization capabilities in a controlled environment. We construct Rosetta-PL by translating a dataset of logical propositions from Lean into a custom logical language, which is then used to fine-tune an LLM (e.g., GPT-4o). Our experiments analyze the impact of the size of the dataset and the translation methodology on the performance of the model. Our results indicate that preserving logical relationships in the translation process significantly boosts precision, with accuracy plateauing beyond roughly 20,000 training samples. These insights provide valuable guidelines for optimizing LLM training in formal reasoning tasks and improving performance in various low-resource language applications.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00001
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rosetta-PL: Propositional Logic as a Benchmark for Large Language Model Reasoning
Baek, Shaun
Esua-Mensah, Shaun
Tsui, Cyrus
Vigneswaralingam, Sejan
Alali, Abdullah
Lu, Michael
Sharma, Vasu
O'Brien, Sean
Zhu, Kevin
Computation and Language
Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resource settings and in tasks requiring deep logical reasoning. This research introduces Rosetta-PL, a benchmark designed to evaluate LLMs' logical reasoning and generalization capabilities in a controlled environment. We construct Rosetta-PL by translating a dataset of logical propositions from Lean into a custom logical language, which is then used to fine-tune an LLM (e.g., GPT-4o). Our experiments analyze the impact of the size of the dataset and the translation methodology on the performance of the model. Our results indicate that preserving logical relationships in the translation process significantly boosts precision, with accuracy plateauing beyond roughly 20,000 training samples. These insights provide valuable guidelines for optimizing LLM training in formal reasoning tasks and improving performance in various low-resource language applications.
title Rosetta-PL: Propositional Logic as a Benchmark for Large Language Model Reasoning
topic Computation and Language
url https://arxiv.org/abs/2505.00001