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Linear integer constraints are one of the most important constraints in combinatorial problems since they are commonly found in many practical applications. Typically, encodings to Boolean satisfiability (SAT) format of conjunctive normal…

Logic in Computer Science · Computer Science 2020-05-06 Ignasi Abío , Valentin Mayer-Eichberger , Peter Stuckey

The Simple Assembly Line Balancing Problem with Power Peak Minimization (SALBP-3PM) minimizes maximum instantaneous power usage while assigning $n$ tasks to $m$ workstations and determining execution schedules within given cycle time…

Logic in Computer Science · Computer Science 2025-12-15 Tuyen Van Kieu , Phong Chi Nguyen , Bao Gia Hoang , Khanh Van To

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

All-Solution Satisfiability (AllSAT) and its extension, All-Solution Satisfiability Modulo Theories (AllSMT), have become more relevant in recent years, mainly in formal verification and artificial intelligence applications. The goal of…

Logic in Computer Science · Computer Science 2026-05-11 Giuseppe Spallitta , Roberto Sebastiani , Armin Biere

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

Logic in Computer Science · Computer Science 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

Grammar-based parsers have achieved high performance in the cross-domain text-to-SQL parsing task, but suffer from low decoding efficiency due to the much larger number of actions for grammar selection than that of tokens in SQL queries.…

Computation and Language · Computer Science 2022-04-27 Kun Wu , Lijie Wang , Zhenghua Li , Xinyan Xiao

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

Data Structures and Algorithms · Computer Science 2018-04-17 Carlos Barrón-Romero

We propose a software architecture where SAT solvers act as a shared network resource for distributed business applications. There can be multiple parallel SAT solvers running either on dedicated hardware (a multi-processor system or a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-02 Sergejs Kozlovičs

This paper proposes a parallel computation strategy and a posterior-based lattice expansion algorithm for efficient lattice rescoring with neural language models (LMs) for automatic speech recognition. First, lattices from first-pass…

Audio and Speech Processing · Electrical Eng. & Systems 2021-03-10 Ke Li , Daniel Povey , Sanjeev Khudanpur

Software analytics often builds from labeled data. Labeling can be slow, error prone, and expensive. When human expertise is scarce, SE researchers sometimes ask large language models (LLMs) for the missing labels. While this has been…

Software Engineering · Computer Science 2026-03-25 Lohith Senthilkumar , Tim Menzies

We improve further the 2015 version of abcdSAT by various heuristics such as at-least-one recently used strategy, learnt clause database approximation reduction etc. Based on the requirement of different tracks at the SAT Competition 2016,…

Logic in Computer Science · Computer Science 2016-05-06 Jingchao Chen

Over the years complexity theorists have proposed many structural parameters to explain the surprising efficiency of conflict-driven clause-learning (CDCL) SAT solvers on a wide variety of large industrial Boolean instances. While some of…

Artificial Intelligence · Computer Science 2017-06-28 Edward Zulkoski , Ruben Martins , Christoph Wintersteiger , Robert Robere , Jia Liang , Krzysztof Czarnecki , Vijay Ganesh

Clause Learning is one of the most important components of a conflict driven clause learning (CDCL) SAT solver that is effective on industrial instances. Since the number of learned clauses is proved to be exponential in the worse case, it…

Artificial Intelligence · Computer Science 2017-06-01 Jerry Lonlac , Engelbert Mephu Nguifo

Self-supervised sentence representation learning is the task of constructing an embedding space for sentences without relying on human annotation efforts. One straightforward approach is to finetune a pretrained language model (PLM) with a…

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

Symbolic Computation · Computer Science 2025-09-30 Zhonghan Wang

Scaling test-time compute brings substantial performance gains for large language models (LLMs). By sampling multiple answers and heuristically aggregate their answers (e.g., either through majority voting or using verifiers to rank the…

Computation and Language · Computer Science 2025-10-13 Jianing Qi , Xi Ye , Hao Tang , Zhigang Zhu , Eunsol Choi

Current implementations of pseudo-Boolean (PB) solvers working on native PB constraints are based on the CDCL architecture which empowers highly efficient modern SAT solvers. In particular, such PB solvers not only implement a…

Artificial Intelligence · Computer Science 2021-09-03 Daniel Le Berre , Romain Wallon

Recent advances in Large Language Models (LLMs) have demonstrated remarkable general reasoning capabilities. However, systematically evaluating and enhancing these reasoning capabilities is challenging due to the lack of controllable and…

Artificial Intelligence · Computer Science 2025-09-04 Yanxiao Zhao , Yaqian Li , Zihao Bo , Rinyoichi Takezoe , Haojia Hui , Mo Guang , Lei Ren , Xiaolin Qin , Kaiwen Long