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Modern SAT solvers routinely operate at scales that make it impractical to query a neural network for every branching decision. NeuroCore, proposed by Selsam and Bjorner, offered a proof-of-concept that neural networks can still accelerate…

Logic in Computer Science · Computer Science 2020-07-07 Jesse Michael Han

Several continuous dynamical systems have recently been proposed as special-purpose analog computers designed to solve combinatorial optimization problems such as $k$-SAT or the Ising problem. While combinatorial optimization problems are…

Chaotic Dynamics · Physics 2025-06-17 Clemens Gneiting , Farad Khoyratee , Enrico Rinaldi , Khyati Jain , Rishab Khincha , Franco Nori

We explore the potential of continuous local search (CLS) in SAT solving by proposing a novel approach for finding a solution of a hybrid system of Boolean constraints. The algorithm is based on CLS combined with belief propagation on…

Artificial Intelligence · Computer Science 2021-06-15 Anastasios Kyrillidis , Moshe Y. Vardi , Zhiwei Zhang

Satisfiability Modulo Theories (SMT) solvers are integral to program analysis techniques like concolic and symbolic execution, where they help assess the satisfiability of logical formulae to explore execution paths of the program under…

Software Engineering · Computer Science 2025-04-11 Rustam Sadykov , Azat Abdullin , Marat Akhin

The field of exact exponential time algorithms for NP-hard problems has thrived over the last decade. While exhaustive search remains asymptotically the fastest known algorithm for some basic problems, difficult and non-trivial exponential…

Data Structures and Algorithms · Computer Science 2018-04-24 Marek Cygan , Holger Dell , Daniel Lokshtanov , Daniel Marx , Jesper Nederlof , Yoshio Okamoto , Ramamohan Paturi , Saket Saurabh , Magnus Wahlstrom

Efficient solutions for satisfiability modulo theories (SMT) are integral in industrial applications such as hardware verification and design automation. Existing approaches are predominantly based on conflict-driven clause learning, which…

Artificial Intelligence · Computer Science 2026-03-25 Yunuo Cen , Daniel Ebler , Xuanyao Fong

Convolutional Neural Networks (CNNs) demonstrate excellent performance in various applications but have high computational complexity. Quantization is applied to reduce the latency and storage cost of CNNs. Among the quantization methods,…

Hardware Architecture · Computer Science 2022-08-03 Shien Zhu , Luan H. K. Duong , Hui Chen , Di Liu , Weichen Liu

Building on the progress in Boolean satisfiability (SAT) solving over the last decades, maximum satisfiability (MaxSAT) has become a viable approach for solving NP-hard optimization problems, but ensuring correctness of MaxSAT solvers has…

Artificial Intelligence · Computer Science 2024-04-29 Hannes Ihalainen , Andy Oertel , Yong Kiam Tan , Jeremias Berg , Matti Järvisalo , Jakob Nordström

The assumed computationally difficulty of factoring large integers forms the basis of security for RSA public-key cryptography, which specifically relies on products of two large primes or semi-primes. The best-known factoring algorithms…

Cryptography and Security · Computer Science 2019-10-24 Michele Mosca , Sebastian R. Verschoor

Experimental demonstrations of quantum annealing with native implementation of Boolean logic Hamiltonians are reported. As a superconducting integrated circuit, a problem Hamiltonian whose set of ground states is consistent with a given…

Recent efforts to improve the performance of neural network (NN) accelerators that meet today's application requirements have given rise to a new trend of logic-based NN inference relying on fixed-function combinational logic (FFCL). This…

Hardware Architecture · Computer Science 2023-04-14 Jingkai Hong , Arash Fayyazi , Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

This paper introduces an Enhanced Boolean version of the Correlation Matrix Memory (CMM), which is useful to work with binary memories. A novel Boolean Orthonormalization Process (BOP) is presented to convert a non-orthonormal Boolean…

Neural and Evolutionary Computing · Computer Science 2016-07-15 Mario Mastriani

Many recent works have designed accelerators for Convolutional Neural Networks (CNNs). While digital accelerators have relied on near data processing, analog accelerators have further reduced data movement by performing in-situ computation.…

Machine Learning · Computer Science 2018-03-20 Anirban Nag , Ali Shafiee , Rajeev Balasubramonian , Vivek Srikumar , Naveen Muralimanohar

DNA computation could in principle solve the satisfiability (SAT) problem due to the operations in parallel on extremely large numbers of strands. We demonstrate some quantum gates corresponding to the DNA ones, based on which an…

Quantum Physics · Physics 2008-02-05 T. T. Ren , M. Feng , W. -L. Chang , J. Luo , M. S. Zhan

We propose a method for exact circuit synthesis using a discrete gate set, as required for fault-tolerant quantum computing. Our approach translates the problem of synthesizing a gate specified by its unitary matrix into a boolean…

Quantum Physics · Physics 2025-03-20 Élie Gouzien , Nicolas Sangouard

We introduce tensor network contraction algorithms for counting satisfying assignments of constraint satisfaction problems (#CSPs). We represent each arbitrary #CSP formula as a tensor network, whose full contraction yields the number of…

Statistical Mechanics · Physics 2019-11-14 Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

Constrained-random simulation is the predominant approach used in the industry for functional verification of complex digital designs. The effectiveness of this approach depends on two key factors: the quality of constraints used to…

Logic in Computer Science · Computer Science 2014-03-26 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

Memristor-based crossbar arrays represent a promising emerging memory technology to replace conventional memories by offering a high density and enabling computing-in-memory (CIM) paradigms. While analog computing provides the best…

Binary Neural Networks (BNNs) are increasingly preferred over full-precision Convolutional Neural Networks(CNNs) to reduce the memory and computational requirements of inference processing with minimal accuracy drop. BNNs convert CNN model…

Hardware Architecture · Computer Science 2023-03-21 Sairam Sri Vatsavai , Venkata Sai Praneeth Karempudi , Ishan Thakkar

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