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In this paper we propose a novel approach for checking satisfiability of non-linear constraints over the reals, called ksmt. The procedure is based on conflict resolution in CDCL style calculus, using a composition of symbolical and…

Logic in Computer Science · Computer Science 2019-07-08 Franz Brauße , Konstantin Korovin , Margarita Korovina , Norbert Th. Müller

Selecting high-quality candidates from large datasets is critical in applications such as drug discovery, precision medicine, and alignment of large language models (LLMs). While Conformal Selection (CS) provides rigorous uncertainty…

Methodology · Statistics 2025-05-05 Tian Bai , Yue Zhao , Xiang Yu , Archer Y. Yang

The Boolean Satisfiability (SAT) problem is the canonical NP-complete problem and is fundamental to computer science, with a wide array of applications in planning, verification, and theorem proving. Developing and evaluating practical SAT…

Machine Learning · Computer Science 2019-10-31 Jiaxuan You , Haoze Wu , Clark Barrett , Raghuram Ramanujan , Jure Leskovec

The reasoning abilities of large language models (LLMs) have been substantially improved by reinforcement learning with verifiable rewards (RLVR). At test time, collaborative reasoning through Multi-Agent Debate (MAD) has emerged as a…

Computation and Language · Computer Science 2026-05-19 Chenxi Liu , Yanshuo Chen , Ruibo Chen , Tianyi Xiong , Tong Zheng , Heng Huang

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

Causal representation learning (CRL) and traditional representation learning have largely developed along different trajectories. Traditional representation learning has been driven mainly by applications and empirical objectives, whereas…

Machine Learning · Computer Science 2026-05-21 Yan Li , Yuewen Sun , Shaoan Xie , Gongxu Luo , Yunlong Deng , Kun Zhang , Guangyi Chen

Deep reinforcement learning (RL) models, despite their efficiency in learning an optimal policy in static environments, easily loses previously learned knowledge (i.e., catastrophic forgetting). It leads RL models to poor performance in…

Machine Learning · Computer Science 2025-09-08 Wonseo Jang , Dongjae Kim

In legal decisions, split votes (SV) occur when judges cannot reach a unanimous decision, posing a difficulty for lawyers who must navigate diverse legal arguments and opinions. In high-stakes domains, understanding the alignment of…

Computation and Language · Computer Science 2024-06-07 Shanshan Xu , T. Y. S. S Santosh , Oana Ichim , Barbara Plank , Matthias Grabmair

Contrastive learning (CL) is one of the most successful paradigms for self-supervised learning (SSL). In a principled way, it considers two augmented "views" of the same image as positive to be pulled closer, and all other images as…

Machine Learning · Computer Science 2023-06-21 Chun-Hsiao Yeh , Cheng-Yao Hong , Yen-Chi Hsu , Tyng-Luh Liu , Yubei Chen , Yann LeCun

One of the well-known challenges in computer vision tasks is the visual diversity of images, which could result in an agreement or disagreement between the learned knowledge and the visual content exhibited by the current observation. In…

Machine Learning · Computer Science 2020-01-03 Yan Luo , Yongkang Wong , Mohan S. Kankanhalli , Qi Zhao

Task-incremental continual learning refers to continually training a model in a sequence of tasks while overcoming the problem of catastrophic forgetting (CF). The issue arrives for the reason that the learned representations are forgotten…

Machine Learning · Computer Science 2023-05-23 Yun Luo , Xiaotian Lin , Zhen Yang , Fandong Meng , Jie Zhou , Yue Zhang

Selective classification enables models to make predictions only when they are sufficiently confident, aiming to enhance safety and reliability, which is important in high-stakes scenarios. Previous methods mainly use deep neural networks…

Machine Learning · Computer Science 2024-06-10 Yu-Chang Wu , Shen-Huan Lyu , Haopu Shang , Xiangyu Wang , Chao Qian

Retrieval Augmented Generation (RAG) is a commonly used approach for enhancing large language models (LLMs) with relevant and up-to-date information. However, the retrieved sources can often contain conflicting information and it remains…

Computation and Language · Computer Science 2025-06-17 Arie Cattan , Alon Jacovi , Ori Ram , Jonathan Herzig , Roee Aharoni , Sasha Goldshtein , Eran Ofek , Idan Szpektor , Avi Caciularu

Deep neural networks (DNNs) often struggle with out-of-distribution data, limiting their reliability in diverse realworld applications. To address this issue, domain generalization methods have been developed to learn domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Jiaxi Li , Di Lin , Hao Chen , Hongying Liu , Liang Wan , Wei Feng

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

Logic in Computer Science · Computer Science 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

Constraint Handling Rules (CHRs) are a high-level rule-based programming language for specification and implementation of constraint solvers. CHR manipulates a global store representing a flat conjunction of constraints. By default, CHR…

Programming Languages · Computer Science 2012-10-22 Gregory J. Duck

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

In-context learning (ICL) can significantly enhance the complex reasoning capabilities of large language models (LLMs), with the key lying in the selection and ordering of demonstration examples. Previous methods typically relied on simple…

Computation and Language · Computer Science 2026-01-06 Xuetao Ma , Wenbin Jiang , Hua Huang

Large language models accumulate extensive parametric knowledge through pre-training. However, knowledge conflicts occur when outdated or incorrect parametric knowledge conflicts with external knowledge in the context. Existing methods…

Computation and Language · Computer Science 2026-05-13 Yigeng Zhou , Wu Li , Yifan Lu , Yequan Wang , Xuebo Liu , Wenya Wang , Jun Yu , Min Zhang , Jing Li

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
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