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Restarts are a widely-used class of techniques integral to the efficiency of Conflict-Driven Clause Learning (CDCL) Boolean SAT solvers. While the utility of such policies has been well-established empirically, a theoretical explanation of…

计算复杂性 · 计算机科学 2020-05-12 Chunxiao Li , Noah Fleming , Marc Vinyals , Toniann Pitassi , Vijay Ganesh

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…

计算与语言 · 计算机科学 2025-12-05 Muyu Pan , Matthew Walter , Dheeraj Kodakandla , Mahfuza Farooque

Over the years complexity theorists have proposed many structural parameters to explain the surprising efficiency of conflict-driven clause-learning (CDCL) SAT solvers on a wide variety of large industrial Boolean instances. While some of…

Modern conflict-driven clause learning (CDCL) SAT solvers are very good in solving conjunctive normal form (CNF) formulas. However, some application problems involve lots of parity (xor) constraints which are not necessarily efficiently…

计算机科学中的逻辑 · 计算机科学 2014-07-25 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Restart policy is an important technique used in modern Conflict-Driven Clause Learning (CDCL) solvers, wherein some parts of the solver state are erased at certain intervals during the run of the solver. In most solvers, variable…

计算机科学中的逻辑 · 计算机科学 2024-04-23 Chunxiao Li , Charlie Liu , Jonathan Chung , Zhengyang Lu , Piyush Jha , Vijay Ganesh

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…

人工智能 · 计算机科学 2026-02-24 Zewei Zhang , Huan Liu , Yuanhao Yu , Jun Chen , Xiangyu Xu

SAT solvers are indispensable in formal verification for hardware and software with many important applications. CDCL is the most widely used framework for modern SAT solvers, and restart is an essential technique of CDCL. When restarting,…

计算机科学中的逻辑 · 计算机科学 2024-05-29 Xindi Zhang , Zhihan Chen , Shaowei Cai

Recent work introduced the cube-and-conquer technique to solve hard SAT instances. It partitions the search space into cubes using a lookahead solver. Each cube is tackled by a conflict-driven clause learning (CDCL) solver. Crucial for…

数据结构与算法 · 计算机科学 2014-02-19 Peter van der Tak , Marijn J. H. Heule , Armin Biere

CDCL-based SAT solvers have transformed the field of automated reasoning owing to their demonstrated efficiency at handling problems arising from diverse domains. The success of CDCL solvers is owed to the design of clever heuristics that…

计算机科学中的逻辑 · 计算机科学 2020-05-12 Arijit Shaw , Kuldeep S. Meel

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…

人工智能 · 计算机科学 2017-06-01 Jerry Lonlac , Engelbert Mephu Nguifo

Modern SAT solvers routinely operate at scales that make it impractical to query a neural network for every branching decision. NeuroCore, proposed by Selsam and Bjorner, offered a proof-of-concept that neural networks can still accelerate…

计算机科学中的逻辑 · 计算机科学 2020-07-07 Jesse Michael Han

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…

人工智能 · 计算机科学 2021-08-17 Taisuke Sato , Ryosuke Kojima

In this paper, we revisit an important issue of CDCL-based SAT solvers, namely the learned clauses database management policies. Our motivation takes its source from a simple observation on the remarkable performances of both random and…

人工智能 · 计算机科学 2014-02-11 Said Jabbour , Jerry Lonlac , Lakhdar Sais , Yakoub Salhi

Current implementations of pseudo-Boolean (PB) solvers working on native PB constraints are based on the CDCL architecture which empowers highly efficient modern SAT solvers. In particular, such PB solvers not only implement a…

人工智能 · 计算机科学 2021-09-03 Daniel Le Berre , Romain Wallon

We study preprocessing techniques for clause normal forms of LTL formulas. Applying the mechanism of labelled clauses enables us to reinterpret LTL satisfiability as a set of purely propositional problems and thus to transfer simplification…

计算机科学中的逻辑 · 计算机科学 2013-10-01 Martin Suda

The CDCL algorithm is the leading solution adopted by state-of-the-art solvers for SAT, SMT, ASP, and others. Experiments show that the performance of CDCL solvers can be significantly boosted by embedding domain-specific heuristics,…

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…

计算机科学中的逻辑 · 计算机科学 2017-07-06 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

We propose to use a DPLL+restart to solve SAT instances by successive simplifications based on the production of clauses that subsume the initial clauses. We show that this approach allows the refutation of pebbling formulae in polynomial…

人工智能 · 计算机科学 2019-06-19 Olivier Bailleux

Modern CDCL SAT solvers learn clauses rapidly, and an important heuristic is the clause deletion scheme. Most current solvers have two (or more) stores of clauses. One has ``valuable'' clauses which are never deleted. Most learned clauses…

人工智能 · 计算机科学 2021-10-28 Sima Jamali , David Mitchell

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…

人工智能 · 计算机科学 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu