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Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Large Language Models (LLMs) have limited performance when solving arithmetic reasoning tasks and often provide incorrect answers. Unlike natural language understanding, math problems typically have a single correct answer, making the task…

Computation and Language · Computer Science 2023-03-10 Shima Imani , Liang Du , Harsh Shrivastava

Test-time scaling (TTS) has emerged as a new frontier for scaling the performance of Large Language Models. In test-time scaling, by using more computational resources during inference, LLMs can improve their reasoning process and task…

Computation and Language · Computer Science 2025-09-10 V Venktesh , Mandeep Rathee , Avishek Anand

Large Language Models (LLMs) are increasingly used for accessing information on the web. Their truthfulness and factuality are thus of great interest. To help users make the right decisions about the information they get, LLMs should not…

Computation and Language · Computer Science 2024-04-03 Chenglei Si , Navita Goyal , Sherry Tongshuang Wu , Chen Zhao , Shi Feng , Hal Daumé , Jordan Boyd-Graber

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

Despite strong performance on code generation tasks, it remains unclear whether large language models (LLMs) genuinely reason about code execution. Existing code reasoning benchmarks primarily evaluate final output correctness under a…

Software Engineering · Computer Science 2026-04-29 Jun Gao , Yun Peng , Qian Qiao , Changhai Zhou , Yuhua Zhou , Shiyang Zhang , Shichao Weng , Zhenchang Xing , Xiaoxue Ren

The rising cost of acquiring supervised data has driven significant interest in self-improvement for large language models (LLMs). Straightforward unsupervised signals like majority voting have proven effective in generating pseudo-labels…

Computation and Language · Computer Science 2026-04-01 Chunyang Jiang , Yonggang Zhang , Yiyang Cai , Chi-Min Chan , Yulong Liu , Mingming Chen , Wei Xue , Yike Guo

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Advances in the general capabilities of large language models (LLMs) have led to their use for information retrieval, and as components in automated decision systems. A faithful representation of probabilistic reasoning in these models may…

Artificial Intelligence · Computer Science 2025-04-21 Gabriel Freedman , Francesca Toni

Mathematical reasoning is an important research direction in the field of artificial intelligence. This article proposes a novel multi tool application framework for mathematical reasoning, aiming to achieve more comprehensive and accurate…

Artificial Intelligence · Computer Science 2024-08-23 Zhihua Duan , Jialin Wang

With the widespread adoption of vibe coding, understanding the reasoning and robustness of Large Language Models (LLMs) is critical for their reliable use in programming tasks. While recent studies assess LLMs' ability to predict program…

Software Engineering · Computer Science 2026-05-08 Pedro Orvalho , Marta Kwiatkowska

To reduce the need for human annotations, large language models (LLMs) have been proposed as judges of the quality of other candidate models. The performance of LLM judges is typically evaluated by measuring the correlation with human…

Computation and Language · Computer Science 2025-05-14 Andreas Stephan , Dawei Zhu , Matthias Aßenmacher , Xiaoyu Shen , Benjamin Roth

Formally verifying properties of software code has been a highly desirable task, especially with the emergence of LLM-generated code. In the same vein, they provide an interesting avenue for the exploration of formal verification and…

Artificial Intelligence · Computer Science 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

Large Language Models (LLMs) have demonstrated significant promise in formal theorem proving. In this study, we investigate the ability of LLMs to discover novel theorems and produce verified proofs. We propose a pipeline called…

Machine Learning · Computer Science 2026-05-07 Kazumi Kasaura , Naoto Onda , Yuta Oriike , Masaya Taniguchi , Akiyoshi Sannai , Sho Sonoda

Large language models (LLMs) can generate code from natural language descriptions. Their performance is typically evaluated using programming benchmarks that simulate real-world tasks. These benchmarks provide specifications in the form of…

Databases · Computer Science 2025-07-09 Shuning Zhang , Yongjoo Park

Many reasoning, planning, and problem-solving tasks share an intrinsic algorithmic nature: correctly simulating each step is a sufficient condition to solve them correctly. We collect pairs of naturalistic and synthetic reasoning tasks to…

This paper presents a framework that integrates Large Language Models (LLMs) into translation validation, targeting LLVM compiler transformations where formal verification tools fall short. Our framework first utilizes existing formal…

Programming Languages · Computer Science 2024-02-02 Yanzhao Wang , Fei Xie

Answer verification identifies correct solutions among candidates generated by large language models (LLMs). Current approaches typically train verifier models by labeling solutions as correct or incorrect based solely on whether the final…

Computation and Language · Computer Science 2024-10-28 Akira Kawabata , Saku Sugawara

The reasoning capabilities of large language models (LLMs) have been significantly improved through reinforcement learning (RL). Nevertheless, LLMs still struggle to consistently verify their own reasoning traces. This raises the research…

Machine Learning · Computer Science 2025-11-20 Xiaoxuan Wang , Bo Liu , Song Jiang , Jingzhou Liu , Jingyuan Qi , Xia Chen , Baosheng He

The latest paradigm shift in software development brings in the innovation and automation afforded by Large Language Models (LLMs), showcased by Generative Pre-trained Transformer (GPT), which has shown remarkable capacity to generate code…

Software Engineering · Computer Science 2024-06-12 Xiaoyin Wang , Dakai Zhu
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