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Motivated by fading channels and erasure channels, the problem of reliable communication over deterministic relay networks is studied, in which relay nodes receive a function of the incoming signals and a random network state. An achievable…

Information Theory · Computer Science 2016-11-17 Sung Hoon Lim , Young-Han Kim , Sae-Young Chung

Iterative imperative programs can be considered as infinite-state systems computing over possibly unbounded domains. Studying reachability in these systems is challenging as it requires to deal with an infinite number of states with…

Logic in Computer Science · Computer Science 2013-02-15 Arnaud Gotlieb , Tristan Denmat , Nadjib Lazaar

Lossy channel systems (LCSs) are systems of finite state automata that communicate via unreliable unbounded fifo channels. In order to circumvent the undecidability of model checking for nondeterministic LCSs, probabilistic models have been…

Logic in Computer Science · Computer Science 2012-03-19 Christel Baier , Nathalie Bertrand , Philippe Schnoebelen

We investigate the impact of spontaneous movement in the complexity of verification problems for an automata-based protocol model of networks with selective broadcast communication. We first consider reachability of an error state and show…

Logic in Computer Science · Computer Science 2012-02-28 Giorgio Delzanno , Arnaud Sangnier , Riccardo Traverso , Gianluigi Zavattaro

We consider networks of finite-state machines having local transitions conditioned by the current state of other automata. In this paper, we depict a reduction procedure tailored for a given reachability property of the form ``from global…

Logic in Computer Science · Computer Science 2016-11-07 Loïc Paulevé

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

The decidability and complexity of reachability problems and model-checking for flat counter machines have been explored in detail. However, only few results are known for flat (lossy) FIFO machines, only in some particular cases (a single…

Computational Complexity · Computer Science 2023-06-22 Alain Finkel , M. Praveen

We study the exact decision problem for feedback capacity of finite-state channels (FSCs). Given an encoding $e$ of a binary-input binary-output rational unifilar FSC with specified rational initial distribution, and a rational threshold…

Information Theory · Computer Science 2026-03-19 Angshul Majumdar

Parameterized verification of coverability in broadcast networks with finite state processes has been studied for different types of models and topologies. In this paper, we attempt to develop a theory of broadcast networks in which the…

Logic in Computer Science · Computer Science 2018-09-11 A. R. Balasubramanian

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

This paper studies the set of terminal state covariances that are reachable over a finite time horizon from a given initial state covariance for a linear stochastic system with additive noise. For discrete-time systems, a complete…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Fengjiao Liu , Panagiotis Tsiotras

Computing the reachability probability in infinite state probabilistic models has been the topic of numerous works. Here we introduce a new property called \emph{divergence} that when satisfied allows to compute reachability probabilities…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Alain Finkel , Serge Haddad , Lina Ye

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

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

In this paper we investigate lossy channel games under incomplete information, where two players operate on a finite set of unbounded FIFO channels and one player, representing a system component under consideration operates under…

Logic in Computer Science · Computer Science 2013-03-05 Rayna Dimitrova , Bernd Finkbeiner

Systems of deterministic finite automata communicating by sending their states upon request are investigated, when the amount of communication is restricted. The computational power and decidability properties are studied for the case of…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Henning Bordihn , Martin Kutrib , Andreas Malcher

Multi-stack pushdown systems are a well-studied model of concurrent computation using threads with first-order procedure calls. While, in general, reachability is undecidable, there are numerous restrictions on stack behaviour that lead to…

Formal Languages and Automata Theory · Computer Science 2013-10-11 Matthew Hague

Piecewise affine maps (PAMs) are frequently used as a reference model to show the openness of the reachability questions in other systems. The reachability problem for one-dimentional PAM is still open even if we define it with only two…

Numerical Analysis · Computer Science 2015-10-15 Oleksiy Kurganskyy , Igor Potapov

Communicating finite-state machines are a fundamental, well-studied model of finite-state processes that communicate via unbounded first-in first-out channels. We show that they are expressively equivalent to existential MSO logic with two…

Logic in Computer Science · Computer Science 2017-09-29 Benedikt Bollig , Marie Fortin , Paul Gastin

We introduce the notion of quantum Markov decision process (qMDP) as a semantic model of nondeterministic and concurrent quantum programs. It is shown by examples that qMDPs can be used in analysis of quantum algorithms and protocols. We…

Quantum Physics · Physics 2014-07-10 Shenggang Ying , Mingsheng Ying