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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

The pixel percentage belonging to the user defined area that are assigned to cluster in a confusion matrix for RADARSAT-2 over Vancouver area has been analysed for classification. In this study, supervised Wishart and Support Vector Machine…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Abhishek Maity

While generalization over tasks from easy to hard is crucial to profile language models (LLMs), the datasets with fine-grained difficulty annotations for each problem across a broad range of complexity are still blank. Aiming to address…

Maximum 2-satisfiability (MAX-2-SAT) is a type of combinatorial decision problem that is known to be NP-hard. In this paper, we compare LightSolver's quantum-inspired algorithm to a leading deep-learning solver for the MAX-2-SAT problem.…

The past three decades have witnessed notable success in designing efficient SAT solvers, with modern solvers capable of solving industrial benchmarks containing millions of variables in just a few seconds. The success of modern SAT solvers…

Artificial Intelligence · Computer Science 2023-06-13 Jiong Yang , Arijit Shaw , Teodora Baluta , Mate Soos , Kuldeep S. Meel

Academic literature reviews have traditionally relied on techniques such as keyword searches and accumulation of relevant back-references, using databases like Google Scholar or IEEEXplore. However, both the precision and accuracy of these…

Human-Computer Interaction · Computer Science 2024-08-27 Hongye An , Arpit Narechania , Emily Wall , Kai Xu

The rapid advancement of large reasoning models has saturated existing math benchmarks, underscoring the urgent need for more challenging evaluation frameworks. To address this, we introduce OlymMATH, a rigorously curated, Olympiad-level…

Computation and Language · Computer Science 2026-04-14 Haoxiang Sun , Yingqian Min , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen

In this paper we present a portfolio LTL-satisfiability solver, called Polsat. To achieve fast satisfiability checking for LTL formulas, the tool integrates four representative LTL solvers: pltl, TRP++, NuSMV, and Aalta. The idea of Polsat…

Logic in Computer Science · Computer Science 2013-11-08 Jianwen Li , Geguang Pu , Lijun Zhang , Yinbo Yao , Moshe Y. Vardi , Jifeng he

Fault injection attacks represent a type of active, physical attack against cryptographic circuits. Various countermeasures have been proposed to thwart such attacks, the design and implementation of which are, however, intricate,…

Cryptography and Security · Computer Science 2023-07-04 Huiyu Tan , Pengfei Gao , Taolue Chen , Fu Song , Zhilin Wu

Propositional satisfiability (SAT) is one of the most fundamental problems in computer science. Its worst-case hardness lies at the core of computational complexity theory, for example in the form of NP-hardness and the (Strong) Exponential…

Discrete Mathematics · Computer Science 2022-09-02 Tobias Friedrich , Ralf Rothenberger

We consider semidefinite programming (SDP) approaches for solving the maximum satisfiability problem (MAX-SAT) and the weighted partial MAX-SAT. It is widely known that SDP is well-suited to approximate the (MAX-)2-SAT. Our work shows the…

Optimization and Control · Mathematics 2023-02-15 Lennart Sinjorgo , Renata Sotirov

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

The Random Satisfiability problem has been intensively studied for decades. For a number of reasons the focus of this study has mostly been on the model, in which instances are sampled uniformly at random from a set of formulas satisfying…

Discrete Mathematics · Computer Science 2019-05-14 Oleksii Omelchenko , Andrei A. Bulatov

A variational approach to finite connectivity spin-glass-like models is developed and applied to describe the structure of optimal solutions in random satisfiability problems. Our variational scheme accurately reproduces the known replica…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giulio Biroli , Remi Monasson , Martin Weigt

Modern high-performance SAT solvers quickly solve large satisfiability instances that occur in practice. If the instance is satisfiable, then the SAT solver can provide a witness which can be checked independently in the form of a…

Logic in Computer Science · Computer Science 2019-09-05 Cezar-Constantin Andrici , Ştefan Ciobâcă

In this paper we investigate how to estimate the hardness of Boolean satisfiability (SAT) encodings for the Logical Equivalence Checking problem (LEC). Meaningful estimates of hardness are important in cases when a conventional SAT solver…

Artificial Intelligence · Computer Science 2022-10-05 Alexander Semenov , Konstantin Chukharev , Egor Tarasov , Daniil Chivilikhin , Viktor Kondratiev

Recent advances in vision-language models (VLMs) have accelerated their application to indoor safety hazards assessment. However, existing benchmarks suffer from three fundamental limitations: (1) heavy reliance on synthetic datasets…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Qiucheng Yu , Ruijie Xu , Mingang Chen , Xuequan Lu , Jianfeng Dong , Chaochao Lu , Xin Tan

We study the counting version of the Boolean satisfiability problem #SAT using the ZH-calculus, a graphical language originally introduced to reason about quantum circuits. Using this, we generalize #SAT to a weighted variant we call…

Computational Complexity · Computer Science 2024-08-13 Tuomas Laakkonen , Konstantinos Meichanetzidis , John van de Wetering

Managing the software complexity of package-based systems can be regarded as one of the main challenges in software architectures. Upgrades are required on a short time basis and systems are expected to be reliable and consistent after…

Logic in Computer Science · Computer Science 2010-07-08 Josep Argelich , Daniel Le Berre , Inês Lynce , Joao Marques-Silva , Pascal Rapicault

In satellite applications, user queries often take the form of open-ended natural language, extending beyond a fixed set of predefined categories. This open-vocabulary nature poses significant challenges for retrieving relevant image tiles,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Md Adnan Arefeen , Biplob Debnath , Ravi K. Rajendran , Murugan Sankaradas , Srimat T. Chakradhar
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