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While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

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

Applying pre- and inprocessing techniques to simplify CNF formulas both before and during search can considerably improve the performance of modern SAT solvers. These algorithms mostly aim at reducing the number of clauses, literals, and…

Logic in Computer Science · Computer Science 2013-10-18 Andreas Wotzlaw , Alexander van der Grinten , Ewald Speckenmeyer

The practical success of Boolean Satisfiability (SAT) solvers stems from the CDCL (Conflict-Driven Clause Learning) approach to SAT solving. However, from a propositional proof complexity perspective, CDCL is no more powerful than the…

Logic in Computer Science · Computer Science 2017-07-06 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

Data Structures and Algorithms · Computer Science 2018-04-17 Carlos Barrón-Romero

CNF-based SAT and MaxSAT solvers are central to logic synthesis and verification systems. The increasing popularity of these constraint problems in electronic design automation encourages studies on different SAT problems and their…

Neural and Evolutionary Computing · Computer Science 2021-07-16 Feng Shi , Chonghan Lee , Mohammad Khairul Bashar , Nikhil Shukla , Song-Chun Zhu , Vijaykrishnan Narayanan

In this work, we present a novel technique for GPU-accelerated Boolean satisfiability (SAT) sampling. Unlike conventional sampling algorithms that directly operate on conjunctive normal form (CNF), our method transforms the logical…

Artificial Intelligence · Computer Science 2025-02-14 Arash Ardakani , Minwoo Kang , Kevin He , Qijing Huang , John Wawrzynek

Boolean satisfiability (SAT) is a propositional logic problem of determining whether an assignment of variables satisfies a Boolean formula. Many combinatorial optimization problems can be formulated in Boolean SAT logic -- either as k-SAT…

Optimization and Control · Mathematics 2026-03-12 Robert Simon Fong , Yanming Song , Alexander Yosifov

In the contexts of automated reasoning (AR) and formal verification (FV), important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for…

Logic in Computer Science · Computer Science 2014-10-23 Roberto Sebastiani , Silvia Tomasi

Local search preprocessing makes Conflict-Driven Clause Learning (CDCL) solvers faster by providing high-quality starting points and modern SAT solvers have incorporated this technique into their preprocessing steps. However, these tools…

Artificial Intelligence · Computer Science 2025-02-05 André Schidler , Stefan Szeider

In this project, we aimed to improve the runtime of Minisat, a Conflict-Driven Clause Learning (CDCL) solver that solves the Propositional Boolean Satisfiability (SAT) problem. We first used a logistic regression model to predict the…

Artificial Intelligence · Computer Science 2017-11-01 Haoze Wu

This paper proposes a new logic optimization paradigm based on circuit simulation, which reduces the need for Boolean computations such as SAT-solving or constructing BDDs. The paper develops a Boolean resubstitution framework to…

Logic in Computer Science · Computer Science 2020-07-07 Siang-Yun Lee , Heinz Riener , Alan Mishchenko , Robert K. Brayton , Giovanni De Micheli

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

The Boolean Satisfiability (SAT) problem is the canonical NP-complete problem and is fundamental to computer science, with a wide array of applications in planning, verification, and theorem proving. Developing and evaluating practical SAT…

Machine Learning · Computer Science 2019-10-31 Jiaxuan You , Haoze Wu , Clark Barrett , Raghuram Ramanujan , Jure Leskovec

Linear integer constraints are one of the most important constraints in combinatorial problems since they are commonly found in many practical applications. Typically, encodings to Boolean satisfiability (SAT) format of conjunctive normal…

Logic in Computer Science · Computer Science 2020-05-06 Ignasi Abío , Valentin Mayer-Eichberger , Peter Stuckey

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

All-Solution Satisfiability (AllSAT) and its extension, All-Solution Satisfiability Modulo Theories (AllSMT), have become more relevant in recent years, mainly in formal verification and artificial intelligence applications. The goal of…

Logic in Computer Science · Computer Science 2026-05-11 Giuseppe Spallitta , Roberto Sebastiani , Armin Biere

The globalization of the IC supply chain has raised many security threats, especially when untrusted parties are involved. This has created a demand for a dependable logic obfuscation solution to combat these threats. Amongst a wide range…

Cryptography and Security · Computer Science 2020-09-07 Kimia Zamiri Azar , Hadi Mardani Kamali , Houman Homayoun , Avesta Sasan

Boolean Satisfiability problems are vital components in Electronic Design Automation, particularly within the Logic Equivalence Checking process. Currently, SAT solvers are employed for these problems and neural network is tried as…

Artificial Intelligence · Computer Science 2024-03-07 Tsz Ho Chan , Wenyi Xiao , Junhua Huang , Huiling Zhen , Guangji Tian , Mingxuan Yuan

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

Artificial Intelligence · Computer Science 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker