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In 2000, I published a relatively comprehensive study of mappings between propositional satisfiability (SAT) and constraint satisfaction problems (CSPs) [Wal00]. I analysed four different mappings of SAT problems into CSPs, and two of CSPs…

Artificial Intelligence · Computer Science 2019-10-02 Toby Walsh

In pseudo-boolean solving the currently most successful unit propagation strategy is a hybrid mode combining the watched literal scheme with the counting method. This short paper introduces new heuristics for this hybrid decision, which are…

Artificial Intelligence · Computer Science 2025-12-22 Mia Müßig , Jan Johannsen

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

Existing research on continual learning (CL) of a sequence of tasks focuses mainly on dealing with catastrophic forgetting (CF) to balance the learning plasticity of new tasks and the memory stability of old tasks. However, an ideal CL…

Machine Learning · Computer Science 2026-01-12 Zhi Wang , Zhongbin Wu , Yanni Li , Bing Liu , Guangxi Li , Yuping Wang

The CTL learning problem consists in finding for a given sample of positive and negative Kripke structures a distinguishing CTL formula that is verified by the former but not by the latter. Further constraints may bound the size and shape…

Logic in Computer Science · Computer Science 2024-04-17 Adrien Pommellet , Daniel Stan , Simon Scatton

Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite…

Logic in Computer Science · Computer Science 2026-04-01 Curie Kim , Carsten Portner , Mingju Liu , Steve Dai , Haoxing Ren , Brucek Khailany , Alvaro Velasquez , Ismail Alkhouri , Cunxi Yu

Unsupervised clustering aims at discovering the semantic categories of data according to some distance measured in the representation space. However, different categories often overlap with each other in the representation space at the…

Machine Learning · Computer Science 2021-06-01 Dejiao Zhang , Feng Nan , Xiaokai Wei , Shangwen Li , Henghui Zhu , Kathleen McKeown , Ramesh Nallapati , Andrew Arnold , Bing Xiang

This paper proposes a global optimization method for it ensures finding good solutions while solving the unit commitment (UC) problem with carbon emission trading (CET). This method con-sists of two parts. In the first part, a sequence of…

Optimization and Control · Mathematics 2019-08-28 Linfeng Yang , Wei Li , Guo Chen , Beihua Fang , Chunming Tang , Zhaoyang Dong

State-of-the-art model-checking algorithms like IC3/PDR are based on uni-directional modular SAT solving for finding and/or blocking counterexamples. Modular SAT solvers divide a SAT-query into multiple sub-queries, each solved by a…

Logic in Computer Science · Computer Science 2023-07-03 Hari Govind V K , Isabel Garcia-Contreras , Sharon Shoham , Arie Gurfinkel

Chronological backtracking is an interesting SAT solving technique within CDCL reasoning, as it backtracks less aggressively upon conflicts. However, chronological backtracking is more difficult to maintain due to its weaker SAT solving…

Logic in Computer Science · Computer Science 2025-01-14 Robin Coutelier , Mathias Fleury , Laura Kovács

In this work, we expand the cooperative multi-task semantic communication framework (CMT-SemCom) introduced in [1], which divides the semantic encoder on the transmitter side into a common unit (CU) and multiple specific units (SUs), to a…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Ahmad Halimi Razlighi , Carsten Bockelmann , Armin Dekorsy

With the increasing availability of parallel computing power, there is a growing focus on parallelizing algorithms for important automated reasoning problems such as Boolean satisfiability (SAT). Divide-and-Conquer (D&C) is a popular…

Logic in Computer Science · Computer Science 2022-09-13 Abhishek Nair , Saranyu Chattopadhyay , Haoze Wu , Alex Ozdemir , Clark Barrett

This paper introduces the 2019 version of \us{}, a novel Constraint Programming framework for floating point verification problems expressed with the SMT language of SMTLIB. SMT solvers decompose their task by delegating to specific…

Artificial Intelligence · Computer Science 2020-03-02 Heytem Zitoun , Claude Michel , Laurent Michel , Michel Rueher

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

Constraint programming (CP) has been used with great success to tackle a wide variety of constraint satisfaction problems which are computationally intractable in general. Global constraints are one of the important factors behind the…

Artificial Intelligence · Computer Science 2009-03-04 Alan Frisch , Brahim Hnich , Zeynep Kiziltan , Ian Miguel , Toby Walsh

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,…

Logic in Computer Science · Computer Science 2024-05-29 Xindi Zhang , Zhihan Chen , Shaowei Cai

We study the satisfiability of randomly generated formulas formed by $M$ clauses of exactly $K$ literals over $N$ Boolean variables. For a given value of $N$ the problem is known to be most difficult with $\alpha=M/N$ close to the…

Computational Complexity · Computer Science 2007-05-23 A. Braunstein , M. Mezard , R. Zecchina

This paper presents the integration of constraint propagation and dual proof analysis in an exact, roundoff-error-free MIP solver. The authors employ safe rounding methods to ensure that all results remain provably correct, while…

Optimization and Control · Mathematics 2024-03-21 Sander Borst , Leon Eifler , Ambros Gleixner

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…

Artificial Intelligence · Computer Science 2014-02-11 Said Jabbour , Jerry Lonlac , Lakhdar Sais , Yakoub Salhi

BEE is a compiler which facilitates solving finite domain constraints by encoding them to CNF and applying an underlying SAT solver. In BEE constraints are modeled as Boolean functions which propagate information about equalities between…

Programming Languages · Computer Science 2013-08-20 Michael Codish , Yoav Fekete , Amit Metodi