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A prominent approach to solving combinatorial optimization problems on parallel hardware is Ising machines, i.e., hardware implementations of networks of interacting binary spin variables. Most Ising machines leverage second-order…

Emerging Technologies · Computer Science 2022-12-08 Connor Bybee , Denis Kleyko , Dmitri E. Nikonov , Amir Khosrowshahi , Bruno A. Olshausen , Friedrich T. Sommer

Maximum Satisfiability (MaxSAT) is an optimization variant of the Boolean Satisfiability (SAT) problem. In general, MaxSAT algorithms perform a succession of SAT solver calls to reach an optimum solution making extensive use of cardinality…

Logic in Computer Science · Computer Science 2014-08-21 Ruben Martins , Saurabh Joshi , Vasco Manquinho , Ines Lynce

Computationally hard problems, including combinatorial optimization, can be mapped into the problem of finding the ground-state of an Ising Hamiltonian. Building physical systems with collective computational ability and distributed…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Sourav Dutta , Abhishek Khanna , Adou S. Assoa , Hanjong Paik , Darrell Schlom , Zoltan Toroczkai , Arijit Raychowdhury , Suman Datta

Boolean satisfiability (SAT) solvers are widely used in hardware verification, cryptanalysis, automatic test-pattern generation, and side-channel reasoning workflows. Modern conflict-driven clause-learning (CDCL) solvers are highly…

Cryptography and Security · Computer Science 2026-05-06 Melki Bino

Realizing compact and scalable Ising machines that are compatible with CMOS-process technology is crucial to the effectiveness and practicality of using such hardware platforms for accelerating computationally intractable problems. Besides…

We propose a general framework for solving inverse self-assembly problems, i.e. designing interactions between elementary units such that they assemble spontaneously into a predetermined structure. Our approach uses patchy particles as…

Soft Condensed Matter · Physics 2022-07-13 John Russo , Flavio Romano , Lukas Kroc , Francesco Sciortino , Lorenzo Rovigatti , Petr Sulc

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

In this paper, we evaluate stochastic-computing simulated annealing (SC-SA) for solving large-scale combinatorial optimization problems. SC-SA is designed using stochastic computing, where the computatoin is reazlied using random bitstream,…

Optimization and Control · Mathematics 2026-03-24 Kota Katsuki , Duckgyu Shin , Naoya Onizawa , Takahiro Hanyu

In this paper, we present a novel algorithm to solve the Boolean Satisfiability (SAT) problem, using noise-based logic (NBL). Contrary to what the name may suggest, NBL is not a random/fuzzy logic system. In fact, it is a completely…

Computational Complexity · Computer Science 2011-10-05 Pey-Chang Kent Lin , Ayan Mandal , Sunil P Khatri

It has been shown that Maximum Satisfiability (MaxSAT) problem instances can be effectively solved by partitioning the set of soft clauses into several disjoint sets. The partitioning methods can be based on clause weights (e.g.,…

Artificial Intelligence · Computer Science 2023-05-26 Pedro Orvalho , Vasco Manquinho , Ruben Martins

We present a novel application of the Kramers-Wannier duality on one of the most important problems of computer science, the Boolean satisfiability problem (SAT). More specifically, we focus on sharp-SAT or equivalently #SAT - the problem…

Statistical Mechanics · Physics 2013-10-10 Joe Mitchell , Benjamin Hsu , Victor Galitski

The Simple Assembly Line Balancing Problem with Power Peak Minimization (SALBP-3PM) minimizes maximum instantaneous power usage while assigning $n$ tasks to $m$ workstations and determining execution schedules within given cycle time…

Logic in Computer Science · Computer Science 2025-12-15 Tuyen Van Kieu , Phong Chi Nguyen , Bao Gia Hoang , Khanh Van To

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…

Logic in Computer Science · Computer Science 2025-05-22 Christoph Jabs

Combinatorial optimization problems are funda- mental for various fields ranging from finance to wireless net- works. This work presents a simulated bifurcation (SB) Ising solver in CMOS for NP-hard optimization problems. Analog domain…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Alana Marie Dee , Sajjad Moazeni

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

Weighted Max-SAT is the optimization version of SAT and many important problems can be naturally encoded as such. Solving weighted Max-SAT is an important problem from both a theoretical and a practical point of view. In recent years, there…

Artificial Intelligence · Computer Science 2007-05-23 Javier Larrosa , Federico Heras , Simon de Givry

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Physical Ising machines rely on nature to guide a dynamical system towards an optimal state which can be read out as a heuristical solution to a combinatorial optimization problem. Such designs that use nature as a computing mechanism can…

Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite…

Logic in Computer Science · Computer Science 2026-04-01 Curie Kim , Carsten Portner , Mingju Liu , Steve Dai , Haoxing Ren , Brucek Khailany , Alvaro Velasquez , Ismail Alkhouri , Cunxi Yu

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka