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We introduce FRAT, a new proof format for unsatisfiable SAT problems, and its associated toolchain. Compared to DRAT, the FRAT format allows solvers to include more information in proofs to reduce the computational cost of subsequent…

Logic in Computer Science · Computer Science 2023-06-22 Seulkee Baek , Mario Carneiro , Marijn J. H. Heule

We approach the task of computing a carefully synchronizing word of minimum length for a given partial deterministic automaton, encoding the problem as an instance of SAT and invoking a SAT solver. Our experimental results demonstrate that…

Formal Languages and Automata Theory · Computer Science 2019-03-27 Hanan Shabana , Mikhail V. Volkov

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

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

Unit testing frameworks are nowadays considered a best practice, included in almost all modern software development processes, to achieve rapid development of correct specifications. Knowledge representation and reasoning paradigms such as…

Software Engineering · Computer Science 2025-01-22 Giovanni Amendola , Tobias Berei , Giuseppe Mazzotta , Francesco Ricca

The Boolean satisfiability (SAT) problem lies at the core of many applications in combinatorial optimization, software verification, cryptography, and machine learning. While state-of-the-art solvers have demonstrated high efficiency in…

Logic in Computer Science · Computer Science 2025-06-03 Zhiwei Zhang , Samy Wu Fung , Anastasios Kyrillidis , Stanley Osher , Moshe Y. Vardi

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

Fundamentally, every static program analyser searches for a proof through a combination of heuristics providing candidate solutions and a candidate validation technique. Essentially, the heuristic reduces a second-order problem to a…

Logic in Computer Science · Computer Science 2015-01-20 Cristina David , Daniel Kroening , Matt Lewis

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

Representing some problems with XOR clauses (parity constraints) can allow to apply more efficient reasoning techniques. In this paper, we present a gadget for translating SAT clauses into Max2XOR constraints, i.e., XOR clauses of at most 2…

Artificial Intelligence · Computer Science 2022-04-06 Carlos Ansótegui , Jordi Levy

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

Requirements Satisfaction Assessment (RSA) evaluates whether the set of design elements linked to a single requirement provide sufficient coverage of that requirement -- typically meaning that all concepts in the requirement are addressed…

Software Engineering · Computer Science 2023-12-08 Amrit Poudel , Jinfeng Lin , Jane Cleland-Huang

Encoding finite linear CSPs as Boolean formulas and solving them by using modern SAT solvers has proven to be highly effective, as exemplified by the award-winning sugar system. We here develop an alternative approach based on ASP. This…

Artificial Intelligence · Computer Science 2013-12-23 Mutsunori Banbara , Martin Gebser , Katsumi Inoue , Torsten Schaub , Takehide Soh , Naoyuki Tamura , Matthias Weise

We present DeepSAT, a novel end-to-end learning framework for the Boolean satisfiability (SAT) problem. Unlike existing solutions trained on random SAT instances with relatively weak supervision, we propose applying the knowledge of the…

Artificial Intelligence · Computer Science 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

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

Boolean satisfiability (SAT) has an extensive application domain in computer science, especially in electronic design automation applications. Circuit synthesis, optimization, and verification problems can be solved by transforming original…

Artificial Intelligence · Computer Science 2016-03-18 Te-Hsuan Chen , Ju-Yi Lu

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

Logic in Computer Science · Computer Science 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

This paper introduces SATformer, a novel Transformer-based approach for the Boolean Satisfiability (SAT) problem. Rather than solving the problem directly, SATformer approaches the problem from the opposite direction by focusing on…

Artificial Intelligence · Computer Science 2024-03-13 Zhengyuan Shi , Min Li , Yi Liu , Sadaf Khan , Junhua Huang , Hui-Ling Zhen , Mingxuan Yuan , Qiang Xu

Answer Set Programming (ASP) is a declarative programming language used for modeling and solving complex combinatorial problems. It has been successfully applied to a number of different realworld problems. However, learning its usage can…

Software Engineering · Computer Science 2026-03-31 Rafael Martins , Matthias Knorr , Ricardo Gonçalves

Automated reasoners, such as SAT/SMT solvers and first-order provers, are becoming the backbones of rigorous systems engineering, being used for example in applications of system verification, program synthesis, and cybersecurity.…

Logic in Computer Science · Computer Science 2024-12-23 Robin Coutelier , Jakob Rath , Michael Rawson , Armin Biere , Laura Kovács