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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

In distributed computing by mobile robots, robots are deployed over a region, continuous or discrete, operating through a sequence of \textit{look-compute-move} cycles. An extensive study has been carried out to understand the computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 Avisek Sharma , Pritam Goswami , Buddhadeb Sau

We explore a natural class of semigroups that have word problem decidable by finite state automata. Among the main results are invariance of this property under change of generators, invariance under basic algebraic constructions and…

Formal Languages and Automata Theory · Computer Science 2019-10-17 Max Neunhöffer , Markus Pfeiffer , Nik Ruskuc

In this paper, we investigate the halting problem for deterministic cellula automata in the pentagrid. We prove that the problem is decidable when the cellular automaton starts its computation from a finite configuration and when it has at…

Formal Languages and Automata Theory · Computer Science 2018-12-11 Maurice Margenstern

Linear consensus iterations guarantee asymptotic convergence, thereby, limiting their applicability in applications where consensus value needs to be used in real time to perform a system level task. It also leads to wastage of power and…

Optimization and Control · Mathematics 2017-06-22 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Vikas Yadav , Murti Salapaka

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

Formal Languages and Automata Theory · Computer Science 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

We study the following decision problem: is the language recognized by a quantum finite automaton empty or non-empty? We prove that this problem is decidable or undecidable depending on whether recognition is defined by strict or non-strict…

Quantum Physics · Physics 2007-05-23 Vincent D. Blondel , Emmanuel Jeandel , Pascal Koiran , Natacha Portier

Quantitative languages are an extension of boolean languages that assign to each word a real number. Mean-payoff automata are finite automata with numerical weights on transitions that assign to each infinite path the long-run average of…

Logic in Computer Science · Computer Science 2015-05-19 Krishnendu Chatterjee , Laurent Doyen , Herbert Edelsbrunner , Thomas A. Henzinger , Philippe Rannou

We show that deterministic finite automata equipped with $k$ two-way heads are equivalent to deterministic machines with a single two-way input head and $k-1$ linearly bounded counters if the accepted language is strictly bounded, i.e., a…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

Parallel communicating systems of pushdown automata (PCPA) were introduced in (Csuhaj-Varj{\'u} et. al. 2000) and in their centralized variants shown to be able to simulate nondeterministic one-way multi-head pushdown automata. A claimed…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen

We examine the characteristic features of reversible and quantum computations in the presence of supplementary external information, known as advice. In particular, we present a simple, algebraic characterization of languages recognized by…

Quantum Physics · Physics 2015-08-25 Tomoyuki Yamakami

In this article, we introduce iterative deterministic equivalents as a novel technique for the performance analysis of communication systems whose channels are modeled by complex combinations of independent random matrices. This technique…

Information Theory · Computer Science 2011-12-20 Jakob Hoydis , Romain Couillet , Merouane Debbah

Parametric timed automata extend the standard timed automata with the possibility to use parameters in the clock guards. In general, if the parameters are real-valued, the problem of language emptiness of such automata is undecidable even…

Formal Languages and Automata Theory · Computer Science 2016-08-08 Nikola Beneš , Peter Bezděk , Kim G. Larsen , Jiří Srba

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

Parametric timed automata (PTAs) are a powerful formalism to reason, simulate and formally verify critical real-time systems. After 25 years of research on PTAs, it is now well-understood that any non-trivial problem studied is undecidable…

Logic in Computer Science · Computer Science 2019-07-04 Étienne André

We consider the problem of distributed hypothesis testing (or social learning) where a network of agents seeks to identify the true state of the world from a finite set of hypotheses, based on a series of stochastic signals that each agent…

Multiagent Systems · Computer Science 2020-04-06 Shreyas Sundaram , Aritra Mitra

We consider parallel communicating pushdown automata systems (PCPA) and define a property called known communication for it. We use this property to prove that the power of a variant of PCPA, called returning centralized parallel…

Formal Languages and Automata Theory · Computer Science 2009-07-30 M. Sakthi Balan

Given the possibility of communication systems failing catastrophically, we investigate limits to communicating over channels that fail at random times. These channels are finite-state semi-Markov channels. We show that communication with…

Information Theory · Computer Science 2015-03-24 Lav R. Varshney , Sanjoy K. Mitter , Vivek K Goyal

FIFO automata are finite state machines communicating through FIFO queues. They can be used for instance to model distributed protocols. Due to the unboundedness of the FIFO queues, several verification problems are undecidable for these…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-04 Cinzia Di Giusto , Loïc Germerie Guizouarn , Etienne Lozes