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Modern SMT solvers have revolutionized the approach to constraint satisfaction problems by integrating advanced theory reasoning and encoding techniques. In this work, we evaluate the performance of modern SMT solvers in Z3, CVC5 and…

Artificial Intelligence · Computer Science 2025-01-16 Liam Davis , Tairan Ji

Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

Artificial Intelligence · Computer Science 2026-05-08 Joshua Gibson , Kapil Dhakal

Boolean Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

Logic in Computer Science · Computer Science 2014-02-17 Joao Marques-Silva , Mikolas Janota

Satisfiability Modulo Theory (SMT) solvers are foundational to modern systems and programming languages research, providing the foundation for tasks like symbolic execution and automated verification. Because these solvers sit on the…

Software Engineering · Computer Science 2026-04-09 Maolin Sun , Yibiao Yang , Yuming Zhou

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

Partial Maximum Satisfiability (PMS) and Weighted Partial Maximum Satisfiability (WPMS) generalize Maximum Satisfiability (MaxSAT), with broad real-world applications. Recent advances in Stochastic Local Search (SLS) algorithms for solving…

Artificial Intelligence · Computer Science 2025-12-08 Menghua Jiang , Haokai Gao , Shuhao Chen , Yin Chen

We present a new extended resolution clause learning (ERCL) algorithm, implemented as part of a conflict-driven clause-learning (CDCL) SAT solver, wherein new variables are dynamically introduced as definitions for {\it Dual Implication…

Logic in Computer Science · Computer Science 2026-05-27 Sam Buss , Jonathan Chung , Vijay Ganesh , Albert Oliveras

AmbSAT (or AmoebaSAT) is a biologically-inspired stochastic local search (SLS) solver to explore solutions to the Boolean satisfiability problem (SAT). AmbSAT updates multiple variables in parallel at every iteration step, and thus AmbSAT…

Neural and Evolutionary Computing · Computer Science 2019-11-07 N. Takeuchi , M. Aono , Y. Hara-Azumi , C. L. Ayala

The problem of computing Craig interpolants in SAT and SMT has recently received a lot of interest, mainly for its applications in formal verification. Efficient algorithms for interpolant generation have been presented for some theories of…

Logic in Computer Science · Computer Science 2015-07-01 Alberto Griggio , Thi Thieu Hoa Le , Roberto Sebastiani

Multi-task Learning (MTL) for classification with disjoint datasets aims to explore MTL when one task only has one labeled dataset. In existing methods, for each task, the unlabeled datasets are not fully exploited to facilitate this task.…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Yan Hong , Li Niu , Jianfu Zhang , Liqing Zhang

Concurrent systems are notoriously difficult to analyze, and technological advances such as weak memory architectures greatly compound this problem. This has renewed interest in partial order semantics as a theoretical foundation for formal…

Logic in Computer Science · Computer Science 2015-04-02 Alex Horn , Daniel Kroening

This report describes an extension of the distributed job scheduling and SAT solving platform Mallob by incremental SAT solving, embedded in a case study on SAT-based hierarchical planning. We introduce a low-latency interface for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Dominik Schreiber

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

Artificial Intelligence · Computer Science 2007-12-10 Joao Marques-Silva , Jordi Planes

MaxSAT is an optimization version of the famous NP-complete Satisfiability problem (SAT). Algorithms for MaxSAT mainly include complete solvers and local search incomplete solvers. In many complete solvers, once a better solution is found,…

Artificial Intelligence · Computer Science 2024-01-22 Jiongzhi Zheng , Zhuo Chen , Chu-Min Li , Kun He

By the MAXSAT problem, we are given a set $V$ of $m$ variables and a collection $C$ of $n$ clauses over $V$, i.e., a conjunctive normal form ($\textit{CNF}$) formula. We will seek a truth assignment to maximize the number of satisfied…

Computational Complexity · Computer Science 2025-08-05 Yangjun Chen

Stochastic local search (SLS) algorithms have exhibited great effectiveness in finding models of random instances of the Boolean satisfiability problem (SAT). As one of the most widely known and used SLS algorithm, WalkSAT plays a key role…

Artificial Intelligence · Computer Science 2015-12-07 Sixue Liu

The most successful parallel SAT and MaxSAT solvers follow a portfolio approach, where each thread applies a different algorithm (or the same algorithm configured differently) to solve a given problem instance. The main goal of building a…

Logic in Computer Science · Computer Science 2015-05-12 Miguel Neves , Inês Lynce , Vasco Manquinho

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

Constraint Programming (CP) solvers typically tackle optimization problems by repeatedly finding solutions to a problem while placing tighter and tighter bounds on the solution cost. This approach is somewhat naive, especially for…

Logic in Computer Science · Computer Science 2015-08-26 Nicholas Downing , Thibaut Feydy , Peter J. Stuckey

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso