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The Satisfiability (SAT) problem is a core challenge with significant applications in software engineering, including automated testing, configuration management, and program verification. This paper presents SolSearch, a novel framework…

Software Engineering · Computer Science 2025-02-21 Junjie Sheng , Yanqiu Lin , Jiehao Wu , Yanhong Huang , Jianqi Shi , Min Zhang , Xiangfeng Wang

Circuit Satisfiability (CSAT) plays a pivotal role in Electronic Design Automation. The standard workflow for solving CSAT problems converts circuits into Conjunctive Normal Form (CNF) and employs generic SAT solvers powered by…

Artificial Intelligence · Computer Science 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu

We prove that there exists a deterministic configuration of Conflict Driven Clause Learning (CDCL) SAT solvers using a variant of the VSIDS branching heuristic that solves instances of the Ordering Principle (OP) CNF formulas in time…

Computational Complexity · Computer Science 2026-03-18 Sahil Samar , Marc Vinyals , Vijay Ganesh

The success of Conflict Driven Clause Learning (CDCL) for Boolean satisfiability has inspired adoption in other domains. We present a novel lifting of CDCL to program analysis called Abstract Conflict Driven Learning for Programs (ACDLP).…

Logic in Computer Science · Computer Science 2017-07-10 Rajdeep Mukherjee , Peter Schrammel , Leopold Haller , Daniel Kroening , Tom Melham

A new algorithm for deciding the satisfiability of polynomial formulas over the reals is proposed. The key point of the algorithm is a new projection operator, called sample-cell projection operator, custom-made for Conflict-Driven Clause…

Logic in Computer Science · Computer Science 2020-03-05 Haokun Li , Bican Xia

Constraint Handling Rules (CHRs) are a high-level rule-based programming language for specification and implementation of constraint solvers. CHR manipulates a global store representing a flat conjunction of constraints. By default, CHR…

Programming Languages · Computer Science 2012-10-22 Gregory J. Duck

Clause Learning is one of the most important components of a conflict driven clause learning (CDCL) SAT solver that is effective on industrial instances. Since the number of learned clauses is proved to be exponential in the worse case, it…

Artificial Intelligence · Computer Science 2017-06-01 Jerry Lonlac , Engelbert Mephu Nguifo

Traditional Boolean satisfiability (SAT) solvers based on the conflict-driven clause-learning (CDCL) framework fare poorly on formulas involving large numbers of parity constraints. The CryptoMiniSat solver augments CDCL with Gauss-Jordan…

Logic in Computer Science · Computer Science 2023-04-11 Mate Soos , Randal E. Bryant

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

Stochastic local search (SLS) is a successful paradigm for solving the satisfiability problem of propositional logic. A recent development in this area involves solving not the original instance, but a modified, yet logically equivalent…

Data Structures and Algorithms · Computer Science 2021-07-02 Florian Wörz , Jan-Hendrik Lorenz

Instances of logical cryptanalysis, circuit verification, and bounded model checking can often be succinctly represented as a combined satisfiability (SAT) problem where an instance is a combination of traditional clauses and parity…

Logic in Computer Science · Computer Science 2012-09-11 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Recent attempts to explain the effectiveness of Boolean satisfiability (SAT) solvers based on conflict-driven clause learning (CDCL) on large industrial benchmarks have focused on the concept of community structure. Specifically, industrial…

Logic in Computer Science · Computer Science 2016-08-16 Nathan Mull , Daniel J. Fremont , Sanjit A. Seshia

We propose ImitSAT, a branching policy for conflict-driven clause learning (CDCL) solvers based on imitation learning for the Boolean satisfiability problem (SAT). Unlike previous methods that predict instance-level signals to improve CDCL…

Artificial Intelligence · Computer Science 2026-02-24 Zewei Zhang , Huan Liu , Yuanhao Yu , Jun Chen , Xiangyu Xu

Satisfiability Modulo Theories (SMT) and SAT solvers are critical components in many formal software tools, primarily due to the fact that they are able to easily solve logical problem instances with millions of variables and clauses. This…

Logic in Computer Science · Computer Science 2021-09-06 Gereon Kremer , Erika Abraham , Vijay Ganesh

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

This study presents a novel heuristic algorithm called the "Minimal Positive Negative Product Strategy" to guide the CDCL algorithm in solving the Boolean satisfiability problem. It provides a mathematical explanation for the superiority of…

Artificial Intelligence · Computer Science 2023-10-31 Qun Zhao , Xintao Wang , Menghui Yang

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

We propose a new approach to SAT solving which solves SAT problems in vector spaces as a cost minimization problem of a non-negative differentiable cost function J^sat. In our approach, a solution, i.e., satisfying assignment, for a SAT…

Artificial Intelligence · Computer Science 2021-08-17 Taisuke Sato , Ryosuke Kojima

This paper introduces SATFuL, a SAT solver for fuzzy logics. In contrast to the Boolean case, for which numerous SAT solvers exist, the SAT problem for fuzzy logics has attracted less attention, even though these tools have interesting…

Logic in Computer Science · Computer Science 2026-04-20 Pablo F. Castro

Due to the increasing challenges posed by the relentless rise in the design complexity of integrated circuits, Boolean Satisfiability (SAT) has emerged as a robust alternative to structural APTG techniques. However, the high cost of…

Artificial Intelligence · Computer Science 2023-03-07 Hui-Ling Zhen , Naixing Wang , Junhua Huang , Xinyue Huang , Mingxuan Yuan , Yu Huang