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Constraint Programming (CP) and Machine Learning (ML) face challenges in text generation due to CP's struggle with implementing "meaning'' and ML's difficulty with structural constraints. This paper proposes a solution by combining both…

Computation and Language · Computer Science 2024-09-26 Florian Régin , Elisabetta De Maria , Alexandre Bonlarron

Discrete Combinatorial Problems (DCPs) are prevalent in industrial decision-making and optimisation. However, while constraint solving technologies for DCPs have advanced significantly, the core process of formalising them, namely…

Artificial Intelligence · Computer Science 2026-01-29 Kostis Michailidis , Dimos Tsouros , Tias Guns

Combinatorial optimization (CO) problems, central to operation research and theoretical computer science, present significant computational challenges due to their NP-hard nature. While large language models (LLMs) have emerged as promising…

Machine Learning · Computer Science 2025-06-16 Xijun Li , Jiexiang Yang , Jinghao Wang , Bo Peng , Jianguo Yao , Haibing Guan

Large language models (LLMs) have demonstrated strong performance on coding tasks such as generation, completion and repair, but their ability to handle complex symbolic reasoning over code still remains underexplored. We introduce the task…

Software Engineering · Computer Science 2025-09-17 Daniel Koh , Yannic Noller , Corina S. Pasareanu , Adrians Skapars , Youcheng Sun

Science and engineering problems fall in the category of complex conceptual problems that require specific conceptual information (CI) like math/logic -related know-how, process information, or engineering guidelines to solve them. Large…

Computation and Language · Computer Science 2024-12-23 Nishtha N. Vaidya , Thomas Runkler , Thomas Hubauer , Veronika Haderlein-Hoegberg , Maja Mlicic Brandt

Large Language Models (LLMs) have recently emerged as planners for language-instructed agents, generating sequences of actions to accomplish natural language tasks. However, their reliability remains a challenge, especially in long-horizon…

Robotics · Computer Science 2025-11-11 Jun Wang , Yevgeniy Vorobeychik , Yiannis Kantaros

One of the long-standing goals in optimisation and constraint programming is to describe a problem in natural language and automatically obtain an executable, efficient model. Large language models appear to bring this vision closer,…

Artificial Intelligence · Computer Science 2025-11-20 Alessio Pellegrino , Jacopo Mauro

Large Language Models (LLMs) have achieved remarkable performance across various reasoning tasks, yet post-training is constrained by inefficient sample utilization and inflexible difficulty samples processing. To address these limitations,…

Solving constraints involving inductive (aka recursive) definitions is challenging. State-of-the-art SMT/CHC solvers and first-order logic provers provide only limited support for solving such constraints, especially when they involve,…

Logic in Computer Science · Computer Science 2026-03-13 Weizhi Feng , Shidong Shen , Jiaxiang Liu , Taolue Chen , Fu Song , Zhilin Wu

Combinatorial optimization (CO) is essential for improving efficiency and performance in engineering applications. As complexity increases with larger problem sizes and more intricate dependencies, identifying the optimal solution become…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Shuo Jiang , Min Xie , Jianxi Luo

The MCP Solver bridges Large Language Models (LLMs) with symbolic solvers through the Model Context Protocol (MCP), an open-source standard for AI system integration. Providing LLMs access to formal solving and reasoning capabilities…

Artificial Intelligence · Computer Science 2025-04-08 Stefan Szeider

Optimization modeling plays a critical role in the application of Operations Research (OR) tools to address real-world problems, yet they pose challenges and require extensive expertise from OR experts. With the advent of large language…

Computation and Language · Computer Science 2025-07-30 Chenyu Huang , Zhengyang Tang , Shixi Hu , Ruoqing Jiang , Xin Zheng , Dongdong Ge , Benyou Wang , Zizhuo Wang

Temporal reasoning and planning are essential capabilities for large language models (LLMs), yet most existing benchmarks evaluate them in isolation and under limited forms of complexity. To address this gap, we introduce the Temporal…

Artificial Intelligence · Computer Science 2025-10-14 Zifeng Ding , Sikuan Yan , Zhangdie Yuan , Xianglong Hu , Fangru Lin , Andreas Vlachos

Large Language Models (LLMs) excel at generating fluent text but struggle to enforce external constraints because they generate tokens sequentially without explicit control mechanisms. GenCP addresses this limitation by combining LLM…

Computation and Language · Computer Science 2025-06-02 Alexandre Bonlarron , Florian Régin , Elisabetta De Maria , Jean-Charles Régin

Many reasoning, planning, and problem-solving tasks share an intrinsic algorithmic nature: correctly simulating each step is a sufficient condition to solve them correctly. This work studies to what extent Large Language Models (LLMs) can…

Constraint programming (CP) is a paradigm used to model and solve constraint satisfaction and combinatorial optimization problems. In CP, problems are modeled with constraints that describe acceptable solutions and solved with backtracking…

Quantum Physics · Physics 2021-09-29 Kyle E. C. Booth , Bryan O'Gorman , Jeffrey Marshall , Stuart Hadfield , Eleanor Rieffel

Stochastic Constraint Programming (SCP) is an extension of Constraint Programming (CP) used for modelling and solving problems involving constraints and uncertainty. SCP inherits excellent modelling abilities and filtering algorithms from…

Artificial Intelligence · Computer Science 2017-04-25 Steven Prestwich , Roberto Rossi , Armagan Tarim

This paper proposes the use of Constraint Logic Programming (CLP) to model SQL queries in a data-independent abstract layer by focusing on some semantic properties for signalling possible errors in such queries. First, we define a…

Databases · Computer Science 2020-02-19 Fernando Sáenz-Pérez

Recent advances in Transformer-based large language models (LLMs) have led to significant performance improvements across many tasks. These gains come with a drastic increase in the models' size, potentially leading to slow and costly use…

Computation and Language · Computer Science 2022-10-26 Tal Schuster , Adam Fisch , Jai Gupta , Mostafa Dehghani , Dara Bahri , Vinh Q. Tran , Yi Tay , Donald Metzler

The escalating computational costs of Large Language Model (LLM) inference have become a critical barrier to their widespread and sustainable deployment. While existing optimization strategies are effective, they are predominantly based on…

Machine Learning · Computer Science 2025-07-02 Yilun Zhang
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