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Constrained Horn Clauses (CHCs) are often used in automated program verification. Thus, techniques for (dis-)proving satisfiability of CHCs are a very active field of research. On the other hand, acceleration techniques for computing…

Logic in Computer Science · Computer Science 2023-07-17 Florian Frohn , Jürgen Giesl

While recent advances in preference learning have enhanced alignment in human feedback, mathematical reasoning remains a persistent challenge. We investigate how data diversification strategies in preference optimization can improve the…

Artificial Intelligence · Computer Science 2025-07-04 Berkan Dokmeci , Qingyang Wu , Ben Athiwaratkun , Ce Zhang , Shuaiwen Leon Song , James Zou

Parity reasoning is challenging for Conflict-Driven Clause Learning (CDCL) SAT solvers. This has been observed even for simple formulas encoding two contradictory parity constraints with different variable orders (Chew and Heule 2020). We…

Computational Complexity · Computer Science 2024-02-02 Leroy Chew , Alexis de Colnet , Friedrich Slivovsky , Stefan Szeider

Symmetry breaking is a popular technique to reduce the search space for SAT solving by exploiting the underlying symmetry over variables and clauses in a formula. The key idea is to first identify sets of assignments which fall in the same…

Logic in Computer Science · Computer Science 2020-01-17 Saket Dingliwal , Ronak Agarwal , Happy Mittal , Parag Singla

Although state-of-the-art (SOTA) SAT solvers based on conflict-driven clause learning (CDCL) have achieved remarkable engineering success, their sequential nature limits the parallelism that may be extracted for acceleration on platforms…

Artificial Intelligence · Computer Science 2023-08-30 Yunuo Cen , Zhiwei Zhang , Xuanyao Fong

With the advancement of large language models (LLMs), their context windows have rapidly expanded. To meet diverse demands from varying-length requests in online services, existing state-of-the-art systems tune the sequence parallelism (SP)…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Cong Li , Yuzhe Yang , Xuegui Zheng , Qifan Yang , Yijin Guan , Size Zheng , Li-Wen Chang , Shufan Liu , Xin Liu , Guangyu Sun

We observe a trend regarding restart strategies used in SAT solvers. A few years ago, most state-of-the-art solvers restarted on average after a few thousands of backtracks. Currently, restarting after a dozen backtracks results in much…

Artificial Intelligence · Computer Science 2014-02-19 Shai Haim , Marijn Heule

Self-play with large language models has emerged as a promising paradigm for achieving self-improving artificial intelligence. However, existing self-play frameworks often suffer from optimization instability, due to (i) non-stationary…

Artificial Intelligence · Computer Science 2026-01-22 Shengda Fan , Xuyan Ye , Yankai Lin

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

Scientific applications consist of large and computationally-intensive loops. Dynamic loop scheduling (DLS) techniques are used to load balance the execution of such applications. Load imbalance can be caused by variations in loop iteration…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-16 Ali Mohammed , Florina M. Ciorba

In this work, we present a simplified successive cancellation list decoder that uses a Chase-like decoding process to achieve a six time improvement in speed compared to successive cancellation list decoding while maintaining the same…

Information Theory · Computer Science 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Monte Carlo Tree Search (MCTS) has recently emerged as a powerful technique for enhancing the reasoning capabilities of LLMs. Techniques such as SFT or DPO have enabled LLMs to distill high-quality behaviors from MCTS, improving their…

Machine Learning · Computer Science 2024-10-10 Xiyao Wang , Linfeng Song , Ye Tian , Dian Yu , Baolin Peng , Haitao Mi , Furong Huang , Dong Yu

Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern…

Information Theory · Computer Science 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

The most advanced implementation of adaptive constraint processing with Constraint Handling Rules (CHR) allows the application of intelligent search strategies to solve Constraint Satisfaction Problems (CSP). This presentation compares an…

Artificial Intelligence · Computer Science 2016-08-31 Armin Wolf

Satisfiability Modulo Theories (SMT) and SAT solvers are critical components in many formal software tools, primarily due to the fact that they are able to easily solve logical problem instances with millions of variables and clauses. This…

Logic in Computer Science · Computer Science 2021-09-06 Gereon Kremer , Erika Abraham , Vijay Ganesh

The performance of the code a compiler generates depends on the order in which it applies the optimization passes. Choosing a good order--often referred to as the phase-ordering problem, is an NP-hard problem. As a result, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-09 Qijing Huang , Ameer Haj-Ali , William Moses , John Xiang , Ion Stoica , Krste Asanovic , John Wawrzynek

Contrastive self-supervised learning (CSL) is an approach to learn useful representations by solving a pretext task that selects and compares anchor, negative and positive (APN) features from an unlabeled dataset. We present a conceptual…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 William Falcon , Kyunghyun Cho

Coreset Selection (CS) aims to identify a subset of the training dataset that achieves model performance comparable to using the entire dataset. Many state-of-the-art CS methods select coresets using scores whose computation requires…

Machine Learning · Computer Science 2025-06-05 Akshay Mehra , Trisha Mittal , Subhadra Gopalakrishnan , Joshua Kimball

Large language models (LLMs) are increasingly used for tasks that implicitly reduce to Boolean satisfiability (SAT), yet their reasoning ability on SAT remains unclear. We present a systematic study of LLMs on 2-SAT and 3-SAT, together with…

Artificial Intelligence · Computer Science 2026-05-28 Leizhen Zhang , Shuhan Chen , Sheng Chen

We show how one can use certain deterministic algorithms for higher-value constraint satisfaction problems (CSPs) to speed up deterministic local search for 3-SAT. This way, we improve the deterministic worst-case running time for 3-SAT to…

Data Structures and Algorithms · Computer Science 2010-07-27 Konstantin Kutzkov , Dominik Scheder
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