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The paper deals with the verification of reachability properties in a commonly used state transition model of communication protocols, which consists of finite state machines connected by potentially unbounded FIFO channels. Although simple…

Logic in Computer Science · Computer Science 2012-03-21 Jan Pachl

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

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata. We assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Czerwiński , Piotr Hofman , SŁawomir Lasota

We study timed systems in which some timing features are unknown parameters. Parametric timed automata (PTAs) are a classical formalism for such systems but for which most interesting problems are undecidable. Notably, the parametric…

Logic in Computer Science · Computer Science 2023-06-22 Étienne André , Didier Lime , Olivier H. Roux

Inspired by distributed applications that use consensus or other agreement protocols for global coordination, we define a new computational model for parameterized systems that is based on a general global synchronization primitive and…

Formal Languages and Automata Theory · Computer Science 2021-05-07 Nouraldin Jaber , Swen Jacobs , Christopher Wagner , Milind Kulkarni , Roopsha Samanta

Reachability in pushdown vector addition systems with states (PVASS) is among the longest standing open problems in Theoretical Computer Science. We show that the problem is decidable in full generality. Our decision procedure is similar in…

Logic in Computer Science · Computer Science 2026-02-19 Roland Guttenberg , Eren Keskin , Roland Meyer

We consider the parameterized verification of arbitrarily large networks of agents which communicate by broadcasting and receiving messages. In our model, the broadcast topology is reconfigurable so that a sent message can be received by…

Logic in Computer Science · Computer Science 2024-03-05 Lucie Guillou , Corto Mascle , Nicolas Waldburger

A control system consists of a plant component and a controller which periodically computes a control input for the plant. We consider systems where the controller is implemented by a feedforward neural network with ReLU activations. The…

Machine Learning · Computer Science 2024-12-10 Christian Schilling , Martin Zimmermann

It is well known that the reachability problem for simply-typed lambda calculus with recursive definitions and finite base-type values (finitary PCF) is decidable. A recent paper by Dal Lago and Ghyselen has shown that the same problem…

Logic in Computer Science · Computer Science 2025-08-21 Ryunosuke Endo , Tachio Terauchi

We consider the decidability of state-to-state reachability in linear time-invariant control systems over discrete time. We analyse this problem with respect to the allowable control sets, which in general are assumed to be defined by…

Optimization and Control · Mathematics 2020-11-19 Nathanaël Fijalkow , Joël Ouaknine , Amaury Pouly , João Sousa-Pinto , James Worrell

"Unidirectional channel systems" (Chambart & Schnoebelen, CONCUR 2008) are finite-state systems where one-way communication from a Sender to a Receiver goes via one reliable and one unreliable unbounded fifo channel. While reachability is…

Logic in Computer Science · Computer Science 2015-07-01 Jancar Petr , Prateek Karandikar , Philippe Schnoebelen

We consider distributed systems with an arbitrary number of processes, modelled by timed automata that communicate through location guards: a process can take a guarded transition if at least one other process is in a given location. In…

Logic in Computer Science · Computer Science 2025-12-05 Étienne André , Swen Jacobs , Engel Lefaucheux

We study the reachability problem of a quantum system modelled by a quantum automaton. The reachable sets are chosen to be boolean combinations of (closed) subspaces of the state space of the quantum system. Four different reachability…

Logic in Computer Science · Computer Science 2014-01-27 Yangjia Li , Mingsheng Ying

Broadcast networks allow one to model networks of identical nodes communicating through message broadcasts. Their parameterized verification aims at proving a property holds for any number of nodes, under any communication topology, and on…

Logic in Computer Science · Computer Science 2023-06-22 Nathalie Bertrand , Patricia Bouyer , Anirban Majumdar

The reachability analysis of recursive programs that communicate asynchronously over reliable FIFO channels calls for restrictions to ensure decidability. Our first result characterizes communication topologies with a decidable reachability…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Heussner , Jérôme Leroux , Anca Muscholl , Grégoire Sutre

Recently, an infinite hierarchy of languages accepted by stateless deterministic pushdown automata has been established based on the number of pushdown symbols. However, the witness language for the n-th level of the hierarchy is over an…

Formal Languages and Automata Theory · Computer Science 2012-08-27 Tomáš Masopust

We consider the model of parametrized asynchronous shared-memory pushdown systems, as introduced in [Hague'11]. In a series of recent papers it has been shown that reachability in this model is PSPACE-complete [Esparza, Ganty, Majumdar'13]…

Formal Languages and Automata Theory · Computer Science 2016-07-19 Marie Fortin , Anca Muscholl , Igor Walukiewicz

We give a new proof of the decidability of reachability in alternating pushdown systems, showing that it is a simple consequence of a cut-elimination theorem for some natural-deduction style inference systems. Then, we show how this result…

Logic in Computer Science · Computer Science 2014-10-31 Gilles Dowek , Ying Jiang

In this paper, we study networks of discrete-time linear time-invariant subsystems. Our focus is on situations where subsystems are connected to each other through a time-invariant topology and where there exists a base-station whose aim is…

Systems and Control · Computer Science 2015-05-27 Mohsen Zamani , Brett Ninness , Daniel Quevedo
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