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Many security- and performance-critical domains, such as cryptography, rely on low-level verification to minimize the trusted computing surface and allow code to be written directly in assembly. However, verifying assembly code against a…

Logic in Computer Science · Computer Science 2025-05-21 Denis Mazzucato , Abdalrhman Mohamed , Juneyoung Lee , Clark Barrett , Jim Grundy , John Harrison , Corina S. Pasareanu

Mathematical reasoning is a hallmark of human intelligence, and whether large language models (LLMs) can meaningfully perform it remains a central question in artificial intelligence and cognitive science. As LLMs are increasingly…

Computation and Language · Computer Science 2026-04-03 Linyang He , Qiyao Yu , Hanze Dong , Baohao Liao , Xinxing Xu , Micah Goldblum , Jiang Bian , Nima Mesgarani

Large language models (LLMs) have recently demonstrated remarkable progress in formal theorem proving. Yet their ability to serve as practical assistants for mathematicians, filling in missing steps within complex proofs, remains…

Computation and Language · Computer Science 2025-10-06 Xiao-Wen Yang , Zihao Zhang , Jianuo Cao , Zhi Zhou , Zenan Li , Lan-Zhe Guo , Yuan Yao , Taolue Chen , Yu-Feng Li , Xiaoxing Ma

Large language models (LLMs) often struggle with complex logical reasoning due to logical inconsistencies and the inherent difficulty of such reasoning. We use Lean, a theorem proving framework, to address these challenges. By formalizing…

Computation and Language · Computer Science 2024-03-21 Dongwei Jiang , Marcio Fonseca , Shay B. Cohen

In light of the rapid adoption of AI coding assistants, LLM-assisted development has become increasingly prevalent, creating an urgent need for robust evaluation of generated code quality. Existing benchmarks often require extensive manual…

Software Engineering · Computer Science 2025-05-21 Yuancheng Jiang , Roland Yap , Zhenkai Liang

Large Language Models (LLMs) are increasingly excelling and outpacing human performance on many tasks. However, to improve LLM reasoning, researchers either rely on ad-hoc generated datasets or formal mathematical proof systems such as the…

Artificial Intelligence · Computer Science 2025-11-03 Nikolaus Holzer , William Fishell , Baishakhi Ray , Mark Santolucito

Large Language Models (LLMs) are increasingly integrated into the software engineering ecosystem. Their test-time compute (TTC) reasoning capabilities show significant potential for understanding program logic and semantics beyond mere…

Computation and Language · Computer Science 2025-10-22 Yifeng He , Luning Yang , Christopher Castro Gaw Gonzalo , Hao Chen

Assertions have been the de facto collateral for simulation-based and formal verification of hardware designs for over a decade. The quality of hardware verification, \ie, detection and diagnosis of corner-case design bugs, is critically…

Software Engineering · Computer Science 2025-03-03 Vaishnavi Pulavarthi , Deeksha Nandal , Soham Dan , Debjit Pal

We introduce AInsteinBench, a large-scale benchmark for evaluating whether large language model (LLM) agents can operate as scientific computing development agents within real research software ecosystems. Unlike existing scientific…

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

We present a novel benchmark designed to rigorously evaluate the capabilities of large language models (LLMs) in mathematical reasoning and algorithmic code synthesis tasks. The benchmark comprises integer sequence generation tasks sourced…

Machine Learning · Computer Science 2025-11-11 Daniel O'Malley , Manish Bhattarai , Nishath Rajiv Ranasinghe , Erick Draayer , Javier Santos

Large language models (LLMs) have recently shown strong performance on mathematical benchmarks. At the same time, they are prone to hallucination and sycophancy, often providing convincing but flawed proofs for incorrect mathematical…

Artificial Intelligence · Computer Science 2025-10-07 Ivo Petrov , Jasper Dekoninck , Martin Vechev

Large language models (LLMs) are increasingly deployed in settings where reasoning, such as multi-step problem solving and chain-of-thought, is essential. Yet, current evaluation practices overwhelmingly report single-run accuracy while…

Artificial Intelligence · Computer Science 2025-12-09 Nearchos Potamitis , Lars Klein , Akhil Arora

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

The math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2. We unify…

Large language models (LLMs) can often generate functionally correct code, but their ability to produce efficient implementations for performance-critical systems tasks remains limited. Existing code benchmarks mainly emphasize correctness…

Software Engineering · Computer Science 2026-05-18 Huihao Jing , Wenbin Hu , Haochen Shi , Hanyu Yang , Sirui Zhang , Shaojin Chen , Haoran Li , Yangqiu Song

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

The evaluation of code-generating Large Language Models (LLMs) is fundamentally constrained by two intertwined challenges: a reliance on static, easily contaminated problem sources and the use of superficial, low-rigor testing. This paper…

Software Engineering · Computer Science 2026-02-04 Zhe Zhang , Runlin Liu , Aishan Liu , Xingyu Liu , Xiang Gao , Hailong Sun

Test-time scaling has significantly improved large language model performance, enabling deeper reasoning to solve complex problems. However, this increased reasoning capability also leads to excessive token generation and unnecessary…

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