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Satisfiability problem (SAT) is a cornerstone of computational complexity with broad industrial applications, and it remains challenging to optimize modern SAT solvers in real-world settings due to their intricate architectures. While…

人工智能 · 计算机科学 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…

We introduce a novel generalization of Counterexample-Guided Inductive Synthesis (CEGIS) and instantiate it to yield a novel, competitive algorithm for solving Quantified Boolean Formulas (QBF). Current QBF solvers based on…

计算机科学中的逻辑 · 计算机科学 2018-07-30 Roderick Bloem , Nicolas Braud-Santoni , Vedad Hadzic

Conflict-Driven Clause Learning (CDCL) is the mainstream framework for solving the Satisfiability problem (SAT), and CDCL solvers typically rely on various heuristics, which have a significant impact on their performance. Modern CDCL…

人工智能 · 计算机科学 2024-11-14 Yiwen Sun , Furong Ye , Xianyin Zhang , Shiyu Huang , Bingzhen Zhang , Ke Wei , Shaowei Cai

The reactive synthesis problem is to compute a system satisfying a given specification in temporal logic. Bounded synthesis is the approach to bound the maximum size of the system that we accept as a solution to the reactive synthesis…

计算机科学中的逻辑 · 计算机科学 2018-03-28 Peter Faymonville , Bernd Finkbeiner , Markus N. Rabe , Leander Tentrup

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…

人工智能 · 计算机科学 2021-09-03 Daniel Le Berre , Romain Wallon

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…

计算机科学中的逻辑 · 计算机科学 2013-11-08 Jianwen Li , Geguang Pu , Lijun Zhang , Yinbo Yao , Moshe Y. Vardi , Jifeng he

This report describes an extension of the distributed job scheduling and SAT solving platform Mallob by incremental SAT solving, embedded in a case study on SAT-based hierarchical planning. We introduce a low-latency interface for…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Dominik Schreiber

Boolean function bi-decomposition is ubiquitous in logic synthesis. It entails the decomposition of a Boolean function using two-input simple logic gates. Existing solutions for bi-decomposition are often based on BDDs and, more recently,…

计算机科学中的逻辑 · 计算机科学 2011-12-15 Huan Chen , Mikolas Janota , Joao Marques-Silva

The Boolean Satisfiability (SAT) problem is a canonical NP-complete problem and a natural candidate for quantum acceleration via search-based algorithms. In Grover-based quantum SAT solvers, the dominant computational cost stems from the…

量子物理 · 物理学 2026-05-18 Majd Assaad , Abhoy Kole , Rolf Drechsler

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…

机器学习 · 计算机科学 2019-10-31 Jiaxuan You , Haoze Wu , Clark Barrett , Raghuram Ramanujan , Jure Leskovec

State-of-the-art Boolean satisfiability (SAT) solvers constitute a practical and competitive approach for solving various real-world problems. To encourage their widespread adoption, the relatively high barrier of entry following from the…

计算机科学中的逻辑 · 计算机科学 2025-05-22 Christoph Jabs

Modern conflict-driven clause learning (CDCL) SAT solvers are very good in solving conjunctive normal form (CNF) formulas. However, some application problems involve lots of parity (xor) constraints which are not necessarily efficiently…

计算机科学中的逻辑 · 计算机科学 2014-07-25 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Boolean satisfiability (SAT) problem is of fundamental importance in computer science and many application domains. For Grover's algorithm, solving the SAT problem requires $\mathcal{O}(\sqrt{2^n})$ queries--where n denotes the number of…

量子物理 · 物理学 2026-04-14 He Wang , Jinyang Yao

Boolean Satisfiability (SAT) solvers are now routinely used in the verification of large industrial problems. However, their application in safety-critical domains such as the railways, avionics, and automotive industries requires some form…

计算机科学中的逻辑 · 计算机科学 2009-12-17 Ashish Darbari , Bernd Fischer , Joao Marques-Silva

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem. Good way in SAT solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional…

密码学与安全 · 计算机科学 2009-07-13 R. T. Faizullin , I. G. Khnykin , V. I. Dylkeyt

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

人工智能 · 计算机科学 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topology optimization. The solver incorporates an interpolation…

数值分析 · 数学 2025-01-14 Yingjie Zhou , Changqing Ye , Yucheng Liu , Shubin Fu , Eric T. Chung

The IC3 algorithm, also known as PDR, is a SAT-based model checking algorithm that has significantly influenced the field in recent years due to its efficiency, scalability, and completeness. It utilizes SAT solvers to solve a series of SAT…

计算机科学中的逻辑 · 计算机科学 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Yingcheng Li , Tianjun Bu , Ziyu Huang

We present a hardware-accelerated SAT solver targeting processor/Field Programmable Gate Arrays (FPGA) SoCs. Our solution accelerates the most expensive subroutine of the Davis-Putnam-Logemann-Loveland (DPLL) algorithm, Boolean Constraint…

硬件体系结构 · 计算机科学 2024-04-16 Hariprasadh Govindasamy , Babak Esfandiari , Paulo Garcia