FOL-Traces: Verified First-Order Logic Reasoning Traces at Scale
On the map: LLM reasoning → Reasoning benchmarks and evaluation
Abstract (arXiv)
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.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 15 of its 33 references that are in the map. First posted on arXiv 20 May 2025.
Builds on
15 of 33 references.
References · 15
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
- 2022Large Language Models are Zero-Shot Reasonerscited by 4,374
- 2023Qwen Technical Reportcited by 3,344
- 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
- 2024OpenAI o1 System Cardcited by 1,244
- 2022Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 smallcited by 1,165
- 2022Toy Models of Superpositioncited by 971
- 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 735
- 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approachcited by 415
3 more
- 2023Contrastive Chain-of-Thought Promptingcited by 52
- 2025Reasoning to Learn from Latent Thoughtscited by 45
- 2025LLM Pretraining with Continuous Conceptscited by 36
Built on by
Citing papers per year: 2026: 3.
3 papers.
- 2026Reasoning Core: A Scalable Procedural Data Generation Suite for Symbolic Pre-training and Post-Trainingcited by 2
- 2026Logic Before Language: Pre-pretraining on Formal Derivations Fosters Skill Acquisition and Compressibilitycited by 2
- 2026Hob-VL: A Benchmark for Visually Grounded Boolean Reasoningcited by 0
- 2026Hob-VL: A Benchmark for Visually Grounded Boolean Reasoning1 Oct 2026
- 2026Logic Before Language: Pre-pretraining on Formal Derivations Fosters Skill Acquisition and Compressibility4 Aug 2026
- 2026Reasoning Core: A Scalable Procedural Data Generation Suite for Symbolic Pre-training and Post-Training2 Mar 2026
Similar, not cited
Close in wording, no citation either way
- 2026LogicSkills: A Structured Benchmark for Formal Reasoning in Large Language Models
- 2025Large Language Models Meet Symbolic Provers for Logical Reasoning Evaluation
- 2025Beyond Semantics: The Unreasonable Effectiveness of Reasonless Intermediate Tokens
- 2025Generating Verifiable Chain of Thoughts from Exection-Traces
- 2026Pushing the Boundaries of Natural Reasoning: Interleaved Bonus from Formal-Logic Verification
- 2026TRACES: Tagging Reasoning Steps for Adaptive Cost-Efficient Early-Stopping
- 2025Can Large Language Models Learn Formal Logic? A Data-Driven Training and Evaluation Framework
- 2025PCRLLM: Proof-Carrying Reasoning with Large Language Models under Stepwise Logical Constraints