English

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

Artificial Intelligence 2026-01-27 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2505.14932,
  title  = {FOL-Traces: Verified First-Order Logic Reasoning Traces at Scale},
  author = {Isabelle Lee and Sarah Liaw and Dani Yogatama},
  journal= {arXiv preprint arXiv:2505.14932},
  year   = {2026}
}
R2 v1 2026-07-01T02:26:51.417Z