Logic-LM: Empowering Large Language Models with Symbolic Solvers for Faithful Logical Reasoning

Abstract

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic reasoning to improve logical problem-solving. Our method first utilizes LLMs to translate a natural language problem into a symbolic formulation. Afterward, a deterministic symbolic solver performs inference on the formulated problem. We also introduce a self-refinement stage, which utilizes the symbolic solver’s error messages to revise symbolic formalizations. We demonstrate Logic-LM’s effectiveness on four logical reasoning datasets: ProofWriter, PrOntoQA, FOLIO, and LogicalDeduction. Our results show significant improvement compared to LLMs alone, with an average performance boost of 62.6% over standard prompting and 23.5% over chain-of-thought prompting. Our findings suggest that Logic-LM, by combining LLMs with symbolic logic, offers a promising avenue for faithful logical reasoning.