Rosetta-PL: Propositional Logic as a Benchmark for Large Language Model Reasoning

Shaun Baek; Shaun Esua-Mensah; Cyrus Tsui; Sejan Vigneswaralingam; Abdullah Alali; Michael Lu; Vasu Sharma; Sean O'Brien; Kevin Zhu

arXiv · 2505.00001

Rosetta-PL: Propositional Logic as a Benchmark for Large Language Model Reasoning

Shaun Baek·Shaun Esua-Mensah·Cyrus Tsui·Sejan Vigneswaralingam·Abdullah Alali·Michael Lu·Vasu Sharma·Sean O'Brien·Kevin Zhu

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Abstract

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.

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Shaun Baek, Shaun Esua-Mensah, Cyrus Tsui, Sejan Vigneswaralingam, Abdullah Alali, Michael Lu, Vasu Sharma, Sean O'Brien, Kevin Zhu. 2025-05-02. Rosetta-PL: Propositional Logic as a Benchmark for Large Language Model Reasoning. https://arxiv.org/abs/2505.00001

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