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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…

Computation and Language · Computer Science 2025-12-05 Muyu Pan , Matthew Walter , Dheeraj Kodakandla , Mahfuza Farooque

Machine learning approaches to solving Boolean Satisfiability (SAT) aim to replace handcrafted heuristics with learning-based models. Graph Neural Networks have emerged as the main architecture for SAT solving, due to the natural graph…

Machine Learning · Computer Science 2026-02-10 Saku Peltonen , Roger Wattenhofer

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

Artificial Intelligence · Computer Science 2019-01-01 Matthias Nickles

Feature extraction is a fundamental task in the application of machine learning methods to SAT solving. It is used in algorithm selection and configuration for solver portfolios and satisfiability classification. Many approaches have been…

Artificial Intelligence · Computer Science 2022-05-02 Benjamin Provan-Bessell , Marco Dalla , Andrea Visentin , Barry O'Sullivan

In this paper, we present a new, graph-based modeling approach and a polynomial-sized linear programming (LP) formulation of the Boolean satisfiability problem (SAT). The approach is illustrated with a numerical example.

Discrete Mathematics · Computer Science 2016-10-21 Moustapha Diaby

Fuzz testing (fuzzing) is a well-known method for exposing bugs/vulnerabilities in software systems. Popular fuzzers, such as AFL, use a biased random search over the domain of program inputs, where 100s or 1000s of inputs (test cases) are…

Software Engineering · Computer Science 2023-08-02 Yuntong Zhang , Ridwan Shariffdeen , Gregory J. Duck , Jiaqi Tan , Abhik Roychoudhury

This work focuses on effectively generating diverse solutions for satisfiability modulo theories (SMT) formulas, targeting the theories of bit-vectors, arrays, and uninterpreted functions, which is a critical task in software and hardware…

Software Engineering · Computer Science 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

The purpose of this paper is to point to the usefulness of applying a linear mathematical formulation of fuzzy multiple criteria objective decision methods in organising business activities. In this respect fuzzy parameters of linear…

Artificial Intelligence · Computer Science 2007-05-23 Sonja Petrovic-Lazarevic , Ajith Abraham

In this paper we propose a set of guidelines to select a solver for the solution of nonlinear programming problems. With this in mind, we present a comparison of the convergence performances of commonly used solvers for both unconstrained…

Optimization and Control · Mathematics 2024-03-18 Giovanni Lavezzi , Kidus Guye , Marco Ciarcià

Reconfiguration aims at recovering a system from a fault by automatically adapting the system configuration, such that the system goal can be reached again. Classical approaches typically use a set of pre-defined faults for which…

Artificial Intelligence · Computer Science 2021-05-19 Kaja Balzereit , Oliver Niggemann

A new stream of research was born in the last decade with the goal of mining itemsets of interest using Constraint Programming (CP). This has promoted a natural way to combine complex constraints in a highly flexible manner. Although CP…

Artificial Intelligence · Computer Science 2012-07-27 Rui Henriques , Inês Lynce , Vasco Manquinho

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

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

We consider here Linear Temporal Logic (LTL) formulas interpreted over \emph{finite} traces. We denote this logic by LTLf. The existing approach for LTLf satisfiability checking is based on a reduction to standard LTL satisfiability…

Logic in Computer Science · Computer Science 2014-03-10 Jianwen Li , Lijun Zhang , Geguang Pu , Moshe Y. Vardi , Jifeng He

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…

Inductive Logic Programming (ILP) provides interpretable rule learning in relational domains, yet remains limited in its ability to induce and reason with numerical constraints. Classical ILP systems operate over discrete predicates and…

Artificial Intelligence · Computer Science 2025-12-16 Nijesh Upreti , Vaishak Belle

This paper proposes a fuzzy goal programming based on Taylor series for solving decentralized bi-level multiobjective fractional programming (DBLMOFP) problem. In the proposed approach, all of the membership functions are associated with…

Optimization and Control · Mathematics 2016-06-06 Hasan Dalman

We consider semidefinite programming (SDP) approaches for solving the maximum satisfiability problem (MAX-SAT) and the weighted partial MAX-SAT. It is widely known that SDP is well-suited to approximate the (MAX-)2-SAT. Our work shows the…

Optimization and Control · Mathematics 2023-02-15 Lennart Sinjorgo , Renata Sotirov

We present DeepSAT, a novel end-to-end learning framework for the Boolean satisfiability (SAT) problem. Unlike existing solutions trained on random SAT instances with relatively weak supervision, we propose applying the knowledge of the…

Artificial Intelligence · Computer Science 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

We develop a simple functional programming language aimed at manipulating infinite, but first-order definable structures, such as the countably infinite clique graph or the set of all intervals with rational endpoints. Internally, such sets…

Programming Languages · Computer Science 2016-04-06 Bartek Klin , Michał Szynwelski