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Applying deep learning to solve real-life instances of hard combinatorial problems has tremendous potential. Research in this direction has focused on the Boolean satisfiability (SAT) problem, both because of its theoretical centrality and…

Artificial Intelligence · Computer Science 2023-06-06 Dimitris Achlioptas , Amrit Daswaney , Periklis A. Papakonstantinou

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

This paper gives a novel approach to analyze SAT problem more deeply. First, I define new elements of Boolean formula such as dominant variable, decision chain, and chain coupler. Through the analysis of the SAT problem using the elements,…

Computational Complexity · Computer Science 2018-01-25 Keum-Bae Cho

Boolean Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

Logic in Computer Science · Computer Science 2014-02-17 Joao Marques-Silva , Mikolas Janota

We give a general method of construting quantum circuit for random \QTR{it}{satisfiability} (SAT) problems with the basic logic gates such as multi-qubit controlled-NOT and NOT gates. The sizes of these circuits are almost the same as the…

Quantum Physics · Physics 2007-05-23 Xinhua Peng , Xiwen Zhu , Kelin Gao

In order to classify the indeterministic termination behavior of the open source SAT solver CryptoMiniSat in multi-threading mode while processing hard to solve boolean satisfiability problem instances, internal solver runtime parameters…

Artificial Intelligence · Computer Science 2021-12-20 A. -M. Leventi-Peetz , Jörg-Volker Peetz , Martina Rohde

Researchers in answer set programming and constraint programming have spent significant efforts in the development of hybrid languages and solving algorithms combining the strengths of these traditionally separate fields. These efforts…

Artificial Intelligence · Computer Science 2017-12-04 Marcello Balduccini , Yuliya Lierler

Migrating existing C programs into Rust is increasingly desired, as Rust offers superior memory safety while maintaining C's high performance. However, vastly different features between C and Rust--e.g., distinct definitions and usages of…

Software Engineering · Computer Science 2025-03-25 Xuemeng Cai , Jiakun Liu , Xiping Huang , Yijun Yu , Haitao Wu , Chunmiao Li , Bo Wang , Imam Nur Bani Yusuf , Lingxiao Jiang

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

Rust is a memory-safe programming language that disallows undefined behavior. Its safety guarantees have been extensively examined by the community through empirical studies, which has led to its remarkable success. However, unsafe code…

Programming Languages · Computer Science 2026-02-27 Hui Xu

In this work a stand-alone preprocessor for SAT is presented that is able to perform most of the known preprocessing techniques. Preprocessing a formula in SAT is important for performance since redundancy can be removed. The preprocessor…

Artificial Intelligence · Computer Science 2011-09-01 Norbert Manthey

Reconfiguration aims at recovering a system from a fault by automatically adapting the system configuration, such that the system goal can be reached again. Classical approaches typically use a set of pre-defined faults for which…

Artificial Intelligence · Computer Science 2021-05-19 Kaja Balzereit , Oliver Niggemann

A Pseudo-Boolean (PB) constraint is a linear inequality constraint over Boolean literals. One of the popular, efficient ideas used to solve PB-problems (a set of PB-constraints) is to translate them to SAT instances (encodings) via, for…

Data Structures and Algorithms · Computer Science 2023-05-09 Michał Karpiński , Marek Piotrów

Despite their sophisticated heuristics, boolean satisfiability (SAT) solvers are still vulnerable to symmetry, causing them to visit search regions that are symmetric to ones already explored. While symmetry handling is routine in other…

Logic in Computer Science · Computer Science 2026-01-26 Markus Anders , Cayden Codel , Marijn J. H. Heule

Satisfiability-based automated reasoning is an approach that is being successfully used in software engineering to validate complex software, including for safety-critical systems. Such reasoning underlies many validation activities, from…

Software Engineering · Computer Science 2024-09-17 Nick Feng , Lina Marsso , Marsha Chechik

The Rust programming language provides a powerful type system that checks linearity and borrowing, allowing code to safely manipulate memory without garbage collection and making Rust ideal for developing low-level, high-assurance systems.…

Logic in Computer Science · Computer Science 2023-03-14 Andrea Lattuada , Travis Hance , Chanhee Cho , Matthias Brun , Isitha Subasinghe , Yi Zhou , Jon Howell , Bryan Parno , Chris Hawblitzel

The Boolean satisfiability problem (SAT) can be solved efficiently with variants of the DPLL algorithm. For industrial SAT problems, DPLL with conflict analysis dependent dynamic decision heuristics has proved to be particularly efficient,…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Raihan H. Kibria

A previously developed quantum search algorithm for solving 1-SAT problems in a single step is generalized to apply to a range of highly constrained k-SAT problems. We identify a bound on the number of clauses in satisfiability problems for…

Artificial Intelligence · Computer Science 2011-05-30 T. Hogg

Integrating logical reasoning within deep learning architectures has been a major goal of modern AI systems. In this paper, we propose a new direction toward this goal by introducing a differentiable (smoothed) maximum satisfiability…

Machine Learning · Computer Science 2019-05-30 Po-Wei Wang , Priya L. Donti , Bryan Wilder , Zico Kolter

Constrained sampling and counting are two fundamental problems in artificial intelligence with a diverse range of applications, spanning probabilistic reasoning and planning to constrained-random verification. While the theory of these…

Artificial Intelligence · Computer Science 2015-12-22 Kuldeep S. Meel , Moshe Vardi , Supratik Chakraborty , Daniel J. Fremont , Sanjit A. Seshia , Dror Fried , Alexander Ivrii , Sharad Malik
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