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Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou

We present a novel approach to formalise and solve search-based problems using large language models, which significantly improves upon previous state-of-the-art results. We demonstrate the efficacy of this approach on the logic puzzles…

Artificial Intelligence · Computer Science 2025-02-25 Pascal Kesseli , Peter O'Hearn , Ricardo Silveira Cabral

With the recent unprecedented advancements in Artificial Intelligence (AI) computing, progress in Large Language Models (LLMs) is accelerating rapidly, presenting challenges in establishing clear guidelines, particularly in the field of…

Cryptography and Security · Computer Science 2024-09-04 Nafis Tanveer Islam , Joseph Khoury , Andrew Seong , Elias Bou-Harb , Peyman Najafirad

Large language models (LLMs) excel in open domains but struggle in specialized settings with limited data and evolving knowledge. Existing domain adaptation practices rely heavily on manual trial-and-error processes, incur significant…

Machine Learning · Computer Science 2026-03-10 Sidharth Sinha , Anson Bastos , Xuchao Zhang , Akshay Nambi , Chetan Bansal , Saravan Rajmohan

In recent years, large language models (LLMs) have achieved remarkable success in natural language processing (NLP). LLMs require an extreme amount of parameters to attain high performance. As models grow into the trillion-parameter range,…

Computation and Language · Computer Science 2024-09-10 Zhyar Rzgar K Rostam , Sándor Szénási , Gábor Kertész

This paper describes an investigation of the robustness of large language models (LLMs) for retrieval augmented generation (RAG)-based summarization tasks. While LLMs provide summarization capabilities, their performance in complex,…

Computation and Language · Computer Science 2024-04-01 Shengjie Liu , Jing Wu , Jingyuan Bao , Wenyi Wang , Naira Hovakimyan , Christopher G Healey

Combinatorial optimization problems often rely on heuristic algorithms to generate efficient solutions. However, the manual design of heuristics is resource-intensive and constrained by the designer's expertise. Recent advances in…

Artificial Intelligence · Computer Science 2025-03-06 Thomas Bömer , Nico Koltermann , Max Disselnmeyer , Laura Dörr , Anne Meyer

Recent advancements in large language models (LLMs) have shown promise in multi-step reasoning tasks, yet their reliance on extensive manual labeling to provide procedural feedback remains a significant impediment. To address this…

Computation and Language · Computer Science 2024-02-20 Zhaorun Chen , Zhuokai Zhao , Zhihong Zhu , Ruiqi Zhang , Xiang Li , Bhiksha Raj , Huaxiu Yao

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

SMT solvers have been used successfully as reasoning engines for automated verification and other applications based on automated reasoning. Current techniques for dealing with quantified formulas in SMT are generally incomplete, forcing…

Logic in Computer Science · Computer Science 2017-06-02 Andrew Reynolds , Cesare Tinelli , Clark Barrett

While logical reasoning evaluation of Large Language Models (LLMs) has attracted significant attention, existing benchmarks predominantly rely on multiple-choice formats that are vulnerable to random guessing, leading to overestimated…

Computation and Language · Computer Science 2025-02-25 Qin Zhu , Fei Huang , Runyu Peng , Keming Lu , Bowen Yu , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang , Junyang Lin

We determine the complexity of several constraint satisfaction problems using the heuristic algorithm, WalkSAT. At large sizes N, the complexity increases exponentially with N in all cases. Perhaps surprisingly, out of all the models…

Quantum Physics · Physics 2013-05-29 Marco Guidetti , A. P. Young

Designing heuristics for combinatorial optimization problems (COPs) is a fundamental yet challenging task that traditionally requires extensive domain expertise. Recently, Large Language Model (LLM)-based Automated Heuristic Design (AHD)…

Artificial Intelligence · Computer Science 2026-04-28 Bin Chen , Shouliang Zhu , Beidan Liu , Yong Zhao , Tianle Pu , Huichun Li , Zhengqiu Zhu

Large Language Models (LLMs) have driven substantial progress in artificial intelligence in recent years, exhibiting impressive capabilities across a wide range of tasks, including mathematical problem-solving. Inspired by the success of…

Computation and Language · Computer Science 2023-10-20 Xueliang Zhao , Xinting Huang , Wei Bi , Lingpeng Kong

The solution-space structure of the 3-Satisfiability Problem (3-SAT) is studied as a function of the control parameter alpha (ratio of number of clauses to the number of variables) using numerical simulations. For this purpose, one has to…

Disordered Systems and Neural Networks · Physics 2015-05-18 Alexander Mann , A. K. Hartmann

In general, a SAT Solver based on conflict-driven DPLL consists of variable selection, phase selection, Boolean Constraint Propagation, conflict analysis, clause learning and its database maintenance. Optimizing any part of these components…

Logic in Computer Science · Computer Science 2011-06-08 Jingchao Chen

Software issue resolution aims to address real-world issues in software repositories (e.g., bug fixing and efficiency optimization) based on natural language descriptions provided by users, representing a key aspect of software maintenance.…

Software Engineering · Computer Science 2025-12-30 Zhonghao Jiang , David Lo , Zhongxin Liu

Despite the rapid development of large language models (LLMs), a fundamental challenge persists: the lack of high-quality optimization modeling datasets hampers LLMs' robust modeling of practical optimization problems from natural language…

Artificial Intelligence · Computer Science 2025-02-24 Hongliang Lu , Zhonglin Xie , Yaoyu Wu , Can Ren , Yuxuan Chen , Zaiwen Wen

Stochastic local search (SLS) algorithms have exhibited great effectiveness in finding models of random instances of the Boolean satisfiability problem (SAT). As one of the most widely known and used SLS algorithm, WalkSAT plays a key role…

Artificial Intelligence · Computer Science 2015-12-07 Sixue Liu

Recently, large language models (LLMs) have notably positioned them as capable tools for addressing complex optimization challenges. Despite this recognition, a predominant limitation of existing LLM-based optimization methods is their…

Artificial Intelligence · Computer Science 2024-03-05 Yuxiao Huang , Wenjie Zhang , Liang Feng , Xingyu Wu , Kay Chen Tan