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We introduce a verification framework to exactly verify the worst-case performance of sequential convex programming (SCP) algorithms for parametric non-convex optimization. The verification problem is formulated as an optimization problem…

Optimization and Control · Mathematics 2025-12-01 Rajiv Sambharya , Nikolai Matni , George Pappas

Parameterized systems play a crucial role in the computer field, and their security is of great significance. Formal verification of parameterized protocols is especially challenging due to its "parameterized" feature, which brings…

Logic in Computer Science · Computer Science 2025-03-25 Jiaqi Xiu , Yongjian Li

In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to function under a variety of external conditions which are…

Robotics · Computer Science 2022-02-24 Michael Farber , Shmuel Weinberger

We consider parameterized concurrent systems consisting of a finite but unknown number of components, obtained by replicating a given set of finite state automata. Components communicate by executing atomic interactions whose participants…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-08 Marius Bozga , Javier Esparza , Radu Iosif , Joseph Sifakis , Christoph Welzel

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

Data Structures and Algorithms · Computer Science 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

In this dissertation we describe two contributions to the state of the art in reasoning about liveness and safety, respectively. Programs for multiprocessor machines commonly perform busy waiting for synchronization. We propose the first…

Logic in Computer Science · Computer Science 2024-03-15 Tobias Reinhard

Thread pooling is a common programming idiom in which a fixed set of worker threads are maintained to execute tasks concurrently. The workers repeatedly pick tasks and execute them to completion. Each task is sequential, with possibly…

Formal Languages and Automata Theory · Computer Science 2021-11-18 Pascal Baumann , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Feedback Vertex Set is a classic combinatorial optimization problem that asks for a minimum set of vertices in a given graph whose deletion makes the graph acyclic. From the point of view of parameterized algorithms and fixed-parameter…

Data Structures and Algorithms · Computer Science 2018-11-14 Krzysztof Kiljan , Marcin Pilipczuk

Causal consistency is one of the most adopted consistency criteria for distributed implementations of data structures. It ensures that operations are executed at all sites according to their causal precedence. We address the issue of…

Logic in Computer Science · Computer Science 2016-11-16 Ahmed Bouajjani , Constantin Enea , Rachid Guerraoui , Jad Hamza

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

Computational Complexity · Computer Science 2011-03-01 Christoph Lenzen , Roger Wattenhofer

We present an algorithm for the repair of parameterized systems. The repair problem is, for a given process implementation, to find a refinement such that a given safety property is satisfied by the resulting parameterized system, and…

Logic in Computer Science · Computer Science 2022-07-29 Swen Jacobs , Mouhammad Sakr , Marcus Völp

The ubiquity of distributed agreement protocols, such as consensus, has galvanized interest in verification of such protocols as well as applications built on top of them. The complexity and unboundedness of such systems, however, makes…

Programming Languages · Computer Science 2022-05-16 Christopher Wagner , Nouraldin Jaber , Roopsha Samanta

We investigate the problem of establishing finite-time probabilistic safety guarantees for discrete-time stochastic dynamical systems subject to unknown disturbance distributions, using barrier certificate methods. Our approach develops a…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Taoran Wu , Dominik Wagner , C. -H. Luke Ong , Bai Xue

We consider the problem of automatically verifying that a parameterized family of probabilistic concurrent systems terminates with probability one for all instances against adversarial schedulers. A parameterized family defines an…

Logic in Computer Science · Computer Science 2017-10-31 Ondrej Lengal , Anthony W. Lin , Rupak Majumdar , Philipp Ruemmer

We propose a data-driven method to establish probabilistic performance guarantees for parametric optimization problems solved via iterative algorithms. Our approach addresses two key challenges: providing convergence guarantees to…

Optimization and Control · Mathematics 2025-10-31 Jingyi Huang , Paul Goulart , Kostas Margellos

Computational Social Choice is an interdisciplinary research area involving Economics, Political Science, and Social Science on the one side, and Mathematics and Computer Science (including Artificial Intelligence and Multiagent Systems) on…

Multiagent Systems · Computer Science 2014-07-09 Robert Bredereck , Jiehua Chen , Piotr Faliszewski , Jiong Guo , Rolf Niedermeier , Gerhard J. Woeginger

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

We investigate the minimal number of failures that can partition a system where processes communicate both through shared memory and by message passing. We prove that this number precisely captures the resilience that can be achieved by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Hagit Attiya , Sweta Kumari , Noa Schiller

We consider parameterized verification of systems executing according to the total store ordering (TSO) semantics. The processes manipulate abstract data types over potentially infinite domains. We present a framework that translates the…

Formal Languages and Automata Theory · Computer Science 2023-02-14 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Adwait Godbole , Yacoub G. Hendi , Shankaranarayanan Krishna , Stephan Spengler

In this article, we investigate the solvability of $k$-set agreement among $n$ processes in distributed systems prone to different types of process failures. Specifically, we explore two scenarios: synchronous message-passing systems prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Delporte-Gallet Carole , Fauconnier Hugues , Safir Mouna