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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…

计算机科学中的逻辑 · 计算机科学 2026-05-11 Giuseppe Spallitta , Roberto Sebastiani , Armin Biere

In the article, within the framework of the Boolean Satisfiability problem (SAT), the problem of estimating the hardness of specific Boolean formulas w.r.t. a specific complete SAT solving algorithm is considered. Based on the well-known…

人工智能 · 计算机科学 2023-12-19 Daniil Chivilikhin , Artem Pavlenko , Alexander Semenov

The transition from single-core to multi-core processors has made multi-threaded software an important subject in computer aided verification. Here, we describe and evaluate an extension of the ESBMC model checker to support the…

计算机科学中的逻辑 · 计算机科学 2010-03-22 Lucas Cordeiro , Bernd Fischer

The implementation of digital filters in processors based on fixed-point arithmetic can lead to problems related to the finite word-length. In particular, the processing of signals in such filters can produce overflows and unwanted noise…

软件工程 · 计算机科学 2013-07-24 Renato B. Abreu , Lucas Cordeiro , Eddie B. L. Filho

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…

A new framework for presenting and analyzing the functionality of a modern DLL-based SAT solver is proposed. Our approach exploits the inherent relation between backtracking and resolution. We show how to derive the algorithm of a modern…

计算机科学中的逻辑 · 计算机科学 2011-10-27 Nachum Dershowitz , Alexander Nadel

Symmetry and dominance breaking can be crucial for solving hard combinatorial search and optimisation problems, but the correctness of these techniques sometimes relies on subtle arguments. For this reason, it is desirable to produce…

人工智能 · 计算机科学 2023-08-17 Bart Bogaerts , Stephan Gocht , Ciaran McCreesh , Jakob Nordström

Answer set programming (ASP) is a paradigm for declarative problem solving where problems are first formalized as rule sets, i.e., answer-set programs, in a uniform way and then solved by computing answer sets for programs. The…

人工智能 · 计算机科学 2011-08-31 Mai Nguyen , Tomi Janhunen , Ilkka Niemelä

This paper introduces SATformer, a novel Transformer-based approach for the Boolean Satisfiability (SAT) problem. Rather than solving the problem directly, SATformer approaches the problem from the opposite direction by focusing on…

人工智能 · 计算机科学 2024-03-13 Zhengyuan Shi , Min Li , Yi Liu , Sadaf Khan , Junhua Huang , Hui-Ling Zhen , Mingxuan Yuan , Qiang Xu

Propositional satisfiability (SAT) solvers, which typically operate using conjunctive normal form (CNF), have been successfully applied in many domains. However, in some application areas such as circuit verification, bounded model…

计算机科学中的逻辑 · 计算机科学 2013-11-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Satisfiability Modulo Theory (SMT) has recently emerged as a powerful tool for solving various automated reasoning problems across diverse domains. Unlike traditional satisfiability methods confined to Boolean variables, SMT can reason on…

计算机科学中的逻辑 · 计算机科学 2025-08-14 Arijit Shaw , Uddalok Sarkar , Kuldeep S. Meel

This report presents VLSAT-3 (an acronym for "Very Large Boolean SATisfiability problems"),the third part of a benchmark suite to be used in scientific experimentsand software competitions addressing SAT and SMT (Satisfiability Modulo…

数据结构与算法 · 计算机科学 2021-12-10 Pierre Bouvier

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

计算机科学中的逻辑 · 计算机科学 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

The development of embedded systems requires formal analysis of models such as those described with MATLAB/Simulink. However, the increasing complexity of industrial models makes analysis difficult. This paper proposes a model checking…

计算机科学中的逻辑 · 计算机科学 2022-06-08 Daisuke Ishii , Takashi Tomita , Toshiaki Aoki , The Quyen Ngo , Thi Bich Ngoc Do , Hideaki Takai

Boolean satisfiability problem (SAT) is fundamental to many applications. Existing works have used graph neural networks (GNNs) for (approximate) SAT solving. Typical GNN-based end-to-end SAT solvers predict SAT solutions concurrently. We…

人工智能 · 计算机科学 2023-04-19 Zhiyuan Yan , Min Li , Zhengyuan Shi , Wenjie Zhang , Yingcong Chen , Hongce Zhang

Satisfiability (SAT) is a central problem in computer science, and advances in SAT-solving algorithms have a far-reaching impact across many fields. Recent works have proposed quantum SAT solvers based on Grover's algorithm, a quantum…

量子物理 · 物理学 2026-04-21 Shang-Wei Lin , Ji-Qing Yan , Yean-Ru Chen , Zhe Hou , David Sanán

A system vulnerability analysis technique (SVAT) for the analysis of complex mission critical systems (CMCS) that cannot be taken offline or subjected to the risks posed by traditional penetration testing was previously developed. This…

密码学与安全 · 计算机科学 2024-09-18 Matthew Tassava , Cameron Kolodjski , Jeremy Straub

It has become standard that, when a SAT solver decides that a CNF $\Gamma$ is unsatisfiable, it produces a certificate of unsatisfiability in the form of a refutation of $\Gamma$ in some proof system. The system typically used is DRAT,…

计算机科学中的逻辑 · 计算机科学 2024-06-21 Leszek Aleksander Kołodziejczyk , Neil Thapen

We present a new algorithm for determining the satisfiability of conjunctions of non-linear polynomial constraints over the reals, which can be used as a theory solver for satisfiability modulo theory (SMT) solving for non-linear real…

符号计算 · 计算机科学 2021-06-17 Erika Ábrahám , James H. Davenport , Matthew England , Gereon Kremer

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel…

计算机科学中的逻辑 · 计算机科学 2015-06-24 Andrew Reynolds , Morgan Deters , Viktor Kuncak , Cesare Tinelli , Clark Barrett