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The automated synthesis of correct-by-construction Boolean functions from logical specifications is known as the Boolean Functional Synthesis (BFS) problem. BFS has many application areas that range from software engineering to circuit…

人工智能 · 计算机科学 2022-12-19 Ravi Raja , Stanly Samuel , Chiranjib Bhattacharyya , Deepak D'Souza , Aditya Kanade

Most state of the art decision systems based on Reinforcement Learning (RL) are data-driven black-box neural models, where it is often difficult to incorporate expert knowledge into the models or let experts review and validate the learned…

人工智能 · 计算机科学 2022-07-11 Vadim Liventsev , Aki Härmä , Milan Petković

A linear pseudo-Boolean constraint (LPB) is an expression of the form $a_1 \cdot \ell_1 + \dots + a_m \cdot \ell_m \geq d$, where each $\ell_i$ is a literal (it assumes the value 1 or 0 depending on whether a propositional variable $x_i$ is…

计算机科学中的逻辑 · 计算机科学 2023-01-11 Jan-Georg Smaus , Christian Schilling , Fabian Wenzelmann

Configurable systems typically consist of reusable assets that have dependencies between each other. To specify such dependencies, feature models are commonly used. As feature models in practice are often complex, automated reasoning is…

人工智能 · 计算机科学 2025-05-12 Chico Sundermann , Stefan Vill , Elias Kuiter , Sebastian Krieter , Thomas Thüm , Matthias Tichy

Polylab is a MATLAB toolbox for multivariate polynomial scalars and polynomial matrices with a unified symbolic-numeric interface across CPU and GPU-oriented backends. The software exposes three aligned classes: MPOLY for CPU execution,…

数学软件 · 计算机科学 2026-04-10 Yi-Shuai Niu , Shing-Tung Yau

In this paper, we propose a novel Control Barrier Function (CBF) based controller for nonlinear systems with complex, time-varying input constraints. To deal with these constraints, we introduce an auxiliary control input to transform the…

系统与控制 · 电气工程与系统科学 2025-05-20 Yaosheng Deng , Yang Bai , Yujie Wang , Masaki Ogura , Mir Feroskhan

Bounded Variable Addition (BVA) is a central preprocessing method in modern state-of-the-art SAT solvers. We provide a graph-theoretic characterization of which 2-CNF encodings can be constructed by an idealized BVA algorithm. Based on this…

计算复杂性 · 计算机科学 2026-04-21 Benjamin Przybocki , Bernardo Subercaseaux , Marijn J. H. Heule

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

人工智能 · 计算机科学 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

计算机科学中的逻辑 · 计算机科学 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

We develop a method for training neural networks on Boolean data in which the values at all nodes are strictly $\pm 1$, and the resulting models are typically equivalent to networks whose nonzero weights are also $\pm 1$. The method…

机器学习 · 计算机科学 2026-02-20 Veit Elser , Manish Krishan Lal

Meta-learning (a.k.a. learning to learn) has recently emerged as a promising paradigm for a variety of applications. There are now many meta-learning methods, each focusing on different modeling aspects of base and meta learners, but all…

机器学习 · 计算机科学 2020-09-29 Yaohua Liu , Risheng Liu

This paper introduces the first, open source software library for Constraint Consistent Learning (CCL). It implements a family of data-driven methods that are capable of (i) learning state-independent and -dependent constraints, (ii)…

机器人学 · 计算机科学 2020-02-19 Yuchen Zhao , Jeevan Manavalan , Prabhakar Ray , Hsiu-Chin Lin , Matthew Howard

Model counting, a fundamental task in computer science, involves determining the number of satisfying assignments to a Boolean formula, typically represented in conjunctive normal form (CNF). While model counting for CNF formulas has…

人工智能 · 计算机科学 2024-02-20 Suwei Yang , Kuldeep S. Meel

This chapter presents the Bilevel Optimization LIBrary of the test problems (BOLIB for short), which contains a collection of test problems, with continuous variables, to help support the development of numerical solvers for bilevel…

最优化与控制 · 数学 2020-12-01 Shenglong Zhou , Alain B. Zemkoho , Andrey Tin

Boolean functional synthesis is the process of constructing a Boolean function from a Boolean specification that relates input and output variables. Despite significant recent developments in synthesis algorithms, Boolean functional…

计算机科学中的逻辑 · 计算机科学 2018-08-27 Supratik Chakraborty , Dror Fried , Lucas M. Tabajara , Moshe Y. Vardi

Boolean networks are a widely used modeling framework in systems biology for studying gene regulation, signal transduction, and cellular decision-making. Empirical studies indicate that biological Boolean networks exhibit a high degree of…

分子网络 · 定量生物学 2026-03-26 Claus Kadelka , Benjamin Coberly

Checking that a scalar potential is bounded from below (BFB) is an ubiquitous and notoriously difficult task in many models with extended scalar sectors. Exact analytic BFB conditions are known only in simple cases. In this work, we present…

高能物理 - 唯象学 · 物理学 2018-06-25 Igor P. Ivanov , Marcel Köpke , Margarete Muhlleitner

We consider the problem of linearizing a pseudo-Boolean function $f : \{0,1\}^n \to \mathbb{R}$ by means of $k$ Boolean functions. Such a linearization yields an integer linear programming formulation with only $k$ auxiliary variables. This…

离散数学 · 计算机科学 2024-08-14 Matthias Walter

We introduce power term polynomial algebra, a representation language for Boolean formulae designed to bridge conjunctive normal form (CNF) and algebraic normal form (ANF). The language is motivated by the tiling mismatch between these…

计算机科学中的逻辑 · 计算机科学 2026-03-17 Emanuele Sansone , Armando Solar-Lezama