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arxiv:2505.14932

FOL-Traces: Verified First-Order Logic Reasoning Traces at Scale

Published on Jan 25
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Abstract

A large-scale dataset of programmatically verified reasoning traces is introduced to enable rigorous evaluation of structured logical inference in language models, revealing significant challenges in current models' performance on logical reasoning tasks.

Reasoning in language models is difficult to evaluate: natural-language traces are unverifiable, symbolic datasets are too small, and most benchmarks conflate heuristics with inference. We present FOL-Traces, the first large-scale dataset of programmatically verified reasoning traces, enabling rigorous evaluation of structured logical inference. We also propose two challenging and comprehensive diagnostic tasks-masked operation prediction and step completion-that directly probe syntactic awareness and process fidelity. FOL-Traces serves as a scalable testbed for rigorously studying how models perform structured logical inference. Systematic experiments with 5 reasoning LLMs show that the dataset remains challenging: models only reach around 45.7% accuracy on masked operation prediction and around 27% on two-step completion.

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