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Recent advances in large language models (LLMs) have shown promise in formal theorem proving, yet evaluating semantic correctness remains challenging. Existing evaluations rely on indirect proxies such as lexical overlap with…

Computation and Language · Computer Science 2026-04-29 Jongyoon Kim , Hojae Han , Seung-won Hwang

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen

Large language models (LLMs) have demonstrated remarkable progress in code generation, but many existing benchmarks are approaching saturation and offer little guarantee on the trustworthiness of the generated programs. To improve…

Software Engineering · Computer Science 2025-10-08 Xun Deng , Sicheng Zhong , Barış Bayazıt , Andreas Veneris , Fan Long , Xujie Si

Despite impressive results on curated benchmarks, the practical impact of large language models (LLMs) on research-level neural theorem proving and proof autoformalization is still limited. We introduce RLMEval, an evaluation suite for…

Computation and Language · Computer Science 2025-10-30 Auguste Poiroux , Antoine Bosselut , Viktor Kunčak

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

Autoformalization, the process of translating informal statements into formal logic, has gained renewed interest with the emergence of powerful Large Language Models (LLMs). While LLMs show promise in generating structured outputs from…

Computation and Language · Computer Science 2025-11-18 Mihir Gupte , Ramesh S

Formalizing mathematical proofs using computerized verification languages like Lean 4 has the potential to significantly impact the field of mathematics, it offers prominent capabilities for advancing mathematical reasoning. However,…

Computation and Language · Computer Science 2024-11-11 Xichen Tang

We introduce Goedel-Prover, an open-source language model that achieves state-of-the-art (as of April 5 2025) performance in automated formal proof generation for mathematical problems. A key challenge in this field is the scarcity of…

Machine Learning · Computer Science 2025-04-22 Yong Lin , Shange Tang , Bohan Lyu , Jiayun Wu , Hongzhou Lin , Kaiyu Yang , Jia Li , Mengzhou Xia , Danqi Chen , Sanjeev Arora , Chi Jin

Large language models (LLMs) have exhibited impressive reasoning abilities on a wide range of complex tasks. However, enhancing these capabilities through post-training remains resource intensive, particularly in terms of data and…

Artificial Intelligence · Computer Science 2025-08-13 Shuo Cai , Su Lu , Qi Zhou , Kejing Yang , Zhijie Sang , Congkai Xie , Hongxia Yang

Large Language Models (LLMs) show promise in automated software engineering, yet their guarantee of correctness is frequently undermined by erroneous or hallucinated code. To enforce model honesty, formal verification requires LLMs to…

Software Engineering · Computer Science 2026-04-27 Md Erfan , Md Kamal Hossain Chowdhury , Ahmed Ryan , Md Rayhanur Rahman

Large language models (LLMs) have shown increasing capability in problem-solving and decision-making, largely based on the step-by-step chain-of-thought reasoning processes. However, evaluating these reasoning abilities has become…

Effectively translating between natural language (NL) and formal logics like Linear Temporal Logic (LTL) requires expertise that limits formal verification's reach in safety-critical development. Template-based approaches sacrifice…

Artificial Intelligence · Computer Science 2026-05-25 Paapa Kwesi Quansah , Ernest Bonnah

Legal reasoning tasks present unique challenges for large language models (LLMs) due to the complexity of domain-specific knowledge and reasoning processes. This paper investigates how effectively smaller language models (Llama 2 7B and…

Machine Learning · Computer Science 2025-04-08 Rean Fernandes , André Biedenkapp , Frank Hutter , Noor Awad

Automating the translation of natural language to first-order logic (FOL) is crucial for knowledge representation and formal methods, yet remains challenging. We present a systematic evaluation of fine-tuned LLMs for this task, comparing…

Computation and Language · Computer Science 2025-12-02 Felix Vossel , Till Mossakowski , Björn Gehrke

Auto-formalization (AF) translates natural-language reasoning problems into solver-executable programs, enabling symbolic solvers to perform sound logical deduction. In practice, however, AF pipelines are currently brittle: programs may…

Artificial Intelligence · Computer Science 2026-03-30 Zhiyu Ni , Zheng Liang , Liangcheng Song , Chenrui Cao , Xian Zhang , Alberto Sangiovanni-Vincentelli , Pierluigi Nuzzo

Large Language Models (LLMs) excel at both informal and formal (e.g. Lean 4) mathematical reasoning but still struggle with autoformalisation, the task of transforming informal into formal mathematical statements. Autoformalisation helps…

Computation and Language · Computer Science 2025-10-15 Yupei Li , Philipp Borchert , Gerasimos Lampouras

Informal mathematics has been central to modern large language model (LLM) reasoning, offering flexibility and enabling efficient construction of arguments. However, purely informal reasoning is prone to logical gaps and subtle errors that…

Artificial Intelligence · Computer Science 2025-11-25 Azim Ospanov , Zijin Feng , Jiacheng Sun , Haoli Bai , Xin Shen , Farzan Farnia

With the growing popularity of Large Reasoning Models and their results in solving mathematical problems, it becomes crucial to measure their capabilities. We introduce a pipeline for both automatic and interactive verification as a more…

Artificial Intelligence · Computer Science 2026-02-25 Varvara Sazonova , Dmitri Shmelkin , Stanislav Kikot , Vasily Motolygin

Recent work has shown that integrating large language models (LLMs) with theorem provers (TPs) in neuro-symbolic pipelines helps with entailment verification and proof-guided refinement of explanations for natural language inference (NLI).…

Computation and Language · Computer Science 2026-01-28 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Large language models (LLMs) are increasingly used for automated tutoring, but their reliability in structured symbolic domains remains unclear. We study step-level feedback for propositional logic proofs, which require precise symbolic…

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