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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…

Today's propositional satisfiability (SAT) solvers are extremely powerful and can be used as an efficient back-end for solving NP-complete problems. However, many fundamental problems in knowledge representation and reasoning are located at…

Computational Complexity · Computer Science 2016-07-04 Ronald de Haan , Stefan Szeider

All solutions SAT (AllSAT for short) is a variant of propositional satisfiability problem. Despite its significance, AllSAT has been relatively unexplored compared to other variants. We thus survey and discuss major techniques of AllSAT…

Data Structures and Algorithms · Computer Science 2016-11-10 Takahisa Toda , Takehide Soh

The usage of Rational Speech Acts (RSA) framework has been successful in building \emph{pragmatic} program synthesizers that return programs which, in addition to being logically consistent with user-generated examples, account for the fact…

Programming Languages · Computer Science 2024-07-17 Yewen Pu , Saujas Vaduguru , Priyan Vaithilingam , Elena Glassman , Daniel Fried

It was shown before that the NP-hard problem of deterministic finite automata (DFA) identification can be effectively translated to Boolean satisfiability (SAT). Modern SAT-solvers can tackle hard DFA identification instances efficiently.…

Formal Languages and Automata Theory · Computer Science 2016-02-22 Vladimir Ulyantsev , Ilya Zakirzyanov , Anatoly Shalyto

Fully automatic worst-case complexity analysis has a number of applications in computer-assisted program manipulation. A classical and powerful approach to complexity analysis consists in formally deriving, from the program syntax, a set of…

Mathematical Software · Computer Science 2007-05-23 Roberto Bagnara , Andrea Pescetti , Alessandro Zaccagnini , Enea Zaffanella

Our work presents a novel reinforcement learning (RL) based framework to optimize heuristic selection within the conflict-driven clause learning (CDCL) process, improving the efficiency of Boolean satisfiability (SAT) solving. The proposed…

Computation and Language · Computer Science 2025-12-05 Muyu Pan , Matthew Walter , Dheeraj Kodakandla , Mahfuza Farooque

Abstract solvers are a method to formally analyze algorithms that have been profitably used for describing, comparing and composing solving techniques in various fields such as Propositional Satisfiability (SAT), Quantified SAT,…

Logic in Computer Science · Computer Science 2020-02-19 Giovanni Amendola , Carmine Dodaro , Marco Maratea

We present a general framework for good CNF-representations of boolean constraints, to be used for translating decision problems into SAT problems (i.e., deciding satisfiability for conjunctive normal forms). We apply it to the…

Computational Complexity · Computer Science 2014-08-06 Matthew Gwynne , Oliver Kullmann

We describe a novel optimization method for finite sums (such as empirical risk minimization problems) building on the recently introduced SAGA method. Our method achieves an accelerated convergence rate on strongly convex smooth problems.…

Machine Learning · Statistics 2016-10-31 Aaron Defazio

Existing methods provide varying algorithms for different types of Boolean satisfiability problems (SAT), lacking a general solution framework. Accordingly, this study proposes a unified framework DCSAT based on integer programming and…

Artificial Intelligence · Computer Science 2023-12-29 Anqi Li , Congying Han , Tiande Guo , Haoran Li , Bonan Li

Symmetries are intrinsic to many combinatorial problems including Boolean Satisfiability (SAT) and Constraint Programming (CP). In SAT, the identification of symmetry breaking predicates (SBPs) is a well-known, often effective, technique…

Artificial Intelligence · Computer Science 2008-12-18 Joao Marques-Silva , Ines Lynce , Vasco Manquinho

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…

Quantum Physics · Physics 2026-04-21 Shang-Wei Lin , Ji-Qing Yan , Yean-Ru Chen , Zhe Hou , David Sanán

A novel artificial neural network approach to constraint satisfaction problems is presented. Based on information-theoretical considerations, it differs from a conventional mean-field approach in the form of the resulting free energy. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Henrik Jonsson , Bo Soderberg

This paper proposes a new algorithm for solving MAX2SAT problems based on combining search methods with semidefinite programming approaches. Semidefinite programming techniques are well-known as a theoretical tool for approximating maximum…

Optimization and Control · Mathematics 2018-12-18 Po-Wei Wang , J. Zico Kolter

Over the last two decades, propositional satisfiability (SAT) has become one of the most successful and widely applied techniques for the solution of NP-complete problems. The aim of this paper is to investigate theoretically how Sat can be…

Logic in Computer Science · Computer Science 2013-05-06 Johannes Klaus Fichte , Stefan Szeider

In the last decade, the power of the state-of-the-art SAT and Integer Programming solvers has dramatically increased. They implement many new techniques and heuristics and since any NP problem can be converted to SAT or ILP instance, we…

Data Structures and Algorithms · Computer Science 2010-11-25 Rastislav Lenhardt

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…

Artificial Intelligence · Computer Science 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

We present various analytic and number theoretic results concerning the #SAT problem as reflected when reduced into a #PART problem. As an application we propose a heuristic to probabilistically estimate the solution of #SAT problems.

Computational Complexity · Computer Science 2016-01-11 Ohad Asor

This paper presents a deterministic algorithmic approach of exploring the solution space of the Subset Sum Problem. The algorithm presented is input-robust and structurally adaptive. Exploration is guided and narrows into areas in the…

Computational Complexity · Computer Science 2025-06-19 Thami Nkosi
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