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Message sequence charts (MSCs) visually represent interactions in distributed systems that communicate through FIFO channels. High-level MSCs (HMSCs) extend MSCs with choice, concatenation, and iteration, allowing for the specification of…

Logic in Computer Science · Computer Science 2025-04-29 Benedikt Bollig , Marie Fortin , Paul Gastin

Previously, the controllability problem of a linear time-invariant dynamical system was mapped to the maximum matching (MM) problem on the bipartite representation of the underlying directed graph, and the sizes of MMs on random bipartite…

Physics and Society · Physics 2019-01-18 Jin-Hua Zhao , Hai-Jun Zhou

In graph realization problems one is given a degree sequence and the task is to decide whether there is a graph whose vertex degrees match to the given sequence. This realization problem is known to be polynomial-time solvable when the…

Computational Complexity · Computer Science 2012-01-18 Sepp Hartung , André Nichterlein

The optimization problem of the minimum set of leaders for the controllability of undirected graphs are addressed. It is difficult to find not only its optimal solution but also its approximate algorithm. We propose a new concept, namely…

Optimization and Control · Mathematics 2021-12-03 Li Dai

The message complexity of a distributed algorithm is the total number of messages sent by all nodes over the course of the algorithm. This paper studies the message complexity of distributed algorithms for fundamental graph optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-28 Fabien Dufoulon , Shreyas Pai , Gopal Pandurangan , Sriram V. Pemmaraju , Peter Robinson

The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are…

Logic in Computer Science · Computer Science 2023-06-22 Benedikt Bollig , Alain Finkel , Amrita Suresh

Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization…

Formal Languages and Automata Theory · Computer Science 2015-09-25 Rayna Dimitrova , Rupak Majumdar

We study the reachability problem for networks of timed communicating processes. Each process is a timed automaton communicating with other processes by exchanging messages over unbounded FIFO channels. Messages carry clocks which are…

Formal Languages and Automata Theory · Computer Science 2018-04-24 Lorenzo Clemente

In this paper, the Interference Network with General Message Sets (IN-GMS) is introduced in which several transmitters send messages to several receivers: Each subset of transmitters transmit an individual message to each subset of…

Information Theory · Computer Science 2013-02-17 Reza K. Farsani , Farokh Marvasti

Several popular language models represent local contexts in an input text $x$ as bags of words. Such representations are naturally encoded by a sequence graph whose vertices are the distinct words occurring in $x$, with edges representing…

Data Structures and Algorithms · Computer Science 2025-07-14 Sammy Khalife , Yann Ponty , Laurent Bulteau

Systems of communicating automata are prominent models for peer-to-peer message-passing over unbounded channels, but in the general scenario, most verification properties are undecidable. To address this issue, two decidable subclasses,…

Logic in Computer Science · Computer Science 2025-10-07 Amrita Suresh , Nobuko Yoshida

In this paper, we study the graph realization problem in the Congested Clique model of distributed computing under crash faults. We consider {\em degree-sequence realization}, in which each node $v$ is associated with a degree value $d(v)$,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-23 Anisur Rahaman Molla , Manish Kumar , Sumathi Sivasubramaniam

We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

The Promise Constraint Satisfaction Problem (PCSP) is a recently introduced vast generalization of the Constraint Satisfaction Problem (CSP). We investigate the computational complexity of a class of PCSPs beyond the most studied cases -…

Computational Complexity · Computer Science 2020-10-12 Libor Barto , Diego Battistelli , Kevin M. Berg

We consider a minimal controllability problem (MCP), which determines the minimum number of input nodes for a descriptor system to be structurally controllable. We investigate the "forbidden nodes" in descriptor systems, denoting nodes that…

Optimization and Control · Mathematics 2023-04-12 Shun Terasaki , Kazuhiro Sato

The Degree Realization problem requires, given a sequence $d$ of $n$ positive integers, to decide whether there exists a graph whose degrees correspond to $d$, and to construct such a graph if it exists. A more challenging variant of the…

Discrete Mathematics · Computer Science 2025-10-28 Amotz Bar-Noy , Igor Kalinichev , David Peleg , Dror Rawitz

We address the satisfiability problem for string constraints that combine relational constraints represented by transducers, word equations, and string length constraints. This problem is undecidable in general. Therefore, we propose a new…

Formal Languages and Automata Theory · Computer Science 2023-07-11 Parosh Aziz Abdulla , Mohamed Faouzi Atig Bui Phi Diep , Lukáš Holík , Petr Janků

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

Global protocol specifications are the starting point of top-down verification methodologies, and serve as a blueprint for synthesizing local specifications that guarantee the correctness of distributed implementations. In this work, we…

Formal Languages and Automata Theory · Computer Science 2026-02-11 Elaine Li , Felix Stutz

Chord diagrams, under the name of Gauss diagrams, are used in low-dimensional topology as an important tool for studying curves or knots. Those Gauss diagrams that correspond to curves or knots are called realizable. The theme of our paper…

Geometric Topology · Mathematics 2021-08-09 Abdullah Khan , Alexei Lisitsa , Viktor Lopatkin , Alexei Vernitski
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