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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

Ising machines are emerging as a new technology for solving various classes of computationally hard problems of practical importance, yet their limits on structured SAT workloads, representative of numerous real-world applications, remain…

We experimentally study the performance of a programmable quantum annealing processor, the D-Wave One (DW1) with up to 108 qubits, on maximum satisfiability problem with 2 variables per clause (MAX 2-SAT) problems. We consider ensembles of…

量子物理 · 物理学 2014-04-24 Siddhartha Santra , Greg Quiroz , Greg Ver Steeg , Daniel Lidar

A simple yet successful approach to parallel satisfiability (SAT) solving is to run several different (a portfolio of) SAT solvers on the input problem at the same time until one solver finds a solution. The SAT solvers in the portfolio can…

计算机科学中的逻辑 · 计算机科学 2015-08-04 Tomas Balyo , Peter Sanders , Carsten Sinz

We propose a new approach to SAT solving which solves SAT problems in vector spaces as a cost minimization problem of a non-negative differentiable cost function J^sat. In our approach, a solution, i.e., satisfying assignment, for a SAT…

人工智能 · 计算机科学 2021-08-17 Taisuke Sato , Ryosuke Kojima

The constraint satisfaction problems k-SAT and Quantum k-SAT (k-QSAT) are canonical NP-complete and QMA_1-complete problems (for k>=3), respectively, where QMA_1 is a quantum generalization of NP with one-sided error. Whereas k-SAT has been…

量子物理 · 物理学 2021-04-01 Marco Aldi , Niel de Beaudrap , Sevag Gharibian , Seyran Saeedi

We revisit the satisfiability problem for two-variable logic, denoted by SAT(FO2), which is known to be NEXP-complete. The upper bound is usually derived from its well known Exponential Size Model (ESM) property. Whether it can be…

计算机科学中的逻辑 · 计算机科学 2021-11-30 Ting-Wei Lin , Chia-Hsuan Lu , Tony Tan

A variant of the well-known Knapsack Problem is studied in this paper, where pairs of items are conflicting, and cannot be selected at the same time. This configures a set of hard constraints. The problem, which can be used to model real…

最优化与控制 · 数学 2025-06-05 Roberto Montemanni , Derek H. Smith

Satisfiability-based verification techniques, leveraging modern Boolean satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers, have demonstrated efficacy in addressing practical problem instances within program analysis.…

计算机科学中的逻辑 · 计算机科学 2025-09-23 Markus Krahl , Matthias Güdemann , Stefan Wallentowitz

Domain-specific hardware to solve computationally hard optimization problems has generated tremendous excitement. Here, we evaluate probabilistic bit (p-bit) based Ising Machines (IM) on the 3-regular 3-Exclusive OR Satisfiability (3R3X),…

分布式、并行与集群计算 · 计算机科学 2024-10-21 Srijan Nikhar , Sidharth Kannan , Navid Anjum Aadit , Shuvro Chowdhury , Kerem Y. Camsari

The remarkable achievements of machine learning techniques in analyzing discrete structures have drawn significant attention towards their integration into combinatorial optimization algorithms. Typically, these methodologies improve…

人工智能 · 计算机科学 2024-02-07 Abdelrahman Hosny , Sherief Reda

A variant of the well-known Assignment Problem is studied in this paper, where pairs of assignments are conflicting, and cannot be selected at the same time. This configures a set of hard constraints. The problem, which models real…

最优化与控制 · 数学 2025-06-06 Roberto Montemanni , Derek H. Smith

The use of Boolean Satisfiability (SAT) solver for hardware verification incurs exponential run-time in several instances. In this work we have proposed an efficient quantum SAT (qSAT) solver for equivalence checking of Boolean circuits…

3-SAT problem is of great importance to many technical and scientific applications. This paper presents a new hybrid evolutionary algorithm for solving this satisfiability problem. 3-SAT problem has the huge search space and hence it is…

人工智能 · 计算机科学 2013-06-24 Nasser Lotfi , Jamshid Tamouk , Mina Farmanbar

We present a hardware-accelerated SAT solver suitable for processor/Field Programmable Gate Arrays (FPGA) hybrid platforms, which have become the norm in the embedded domain. Our solution addresses a known bottleneck in SAT solving…

硬件体系结构 · 计算机科学 2023-12-19 Hariprasadh Godindasamy , Babak Esfandiari , Paulo Garcia

What is the minimum amount of information and time needed to solve 2SAT? When the instance is known, it can be solved in polynomial time, but is this also possible without knowing the instance? Bei, Chen and Zhang (STOC '13) considered a…

计算复杂性 · 计算机科学 2016-06-14 Itai Arad , Adam Bouland , Daniel Grier , Miklos Santha , Aarthi Sundaram , Shengyu Zhang

Exact Max-SAT solvers, compared with SAT solvers, apply little inference at each node of the proof tree. Commonly used SAT inference rules like unit propagation produce a simplified formula that preserves satisfiability but, unfortunately,…

人工智能 · 计算机科学 2011-11-02 C. M. Li , F. Manya , J. Planes

In the maximum satisfiability problem (MAX-SAT) we are given a propositional formula in conjunctive normal form and have to find an assignment that satisfies as many clauses as possible. We study the parallel parameterized complexity of…

计算复杂性 · 计算机科学 2022-06-06 Max Bannach , Malte Skambath , Till Tantau

We present an extremely simple polynomial-space exponential-time $(1-\varepsilon)$-approximation algorithm for MAX-k-SAT that is (slightly) faster than the previous known polynomial-space $(1-\varepsilon)$-approximation algorithms by Hirsch…

数据结构与算法 · 计算机科学 2026-04-22 Harry Buhrman , Sevag Gharibian , Zeph Landau , François Le Gall , Norbert Schuch , Suguru Tamaki

In this paper two algorithms solving circuit satisfiability problem over supernilpotent algebras are presented. The first one is deterministic and is faster than fastest previous algorithm presented by Aichinger. The second one is…

计算复杂性 · 计算机科学 2020-02-21 Piotr Kawałek , Jacek Krzaczkowski