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We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

This paper proposes an innovative end-to-end deterministic network mechanism to achieve delay-bounded transmissions across multiple network domains. The proposed mechanism installs discrete shapers at the edge of the network domains, which…

Networking and Internet Architecture · Computer Science 2023-05-17 Binwei Wu , Shuo Wang , Weiqian Tan

We consider systems composed of an unbounded number of uniformly designed linear hybrid automata, whose dynamic behavior is determined by their relation to neighboring systems. We present a class of such systems and a class of safety…

Logic in Computer Science · Computer Science 2016-01-08 Werner Damm , Matthias Horbach , Viorica Sofronie-Stokkermans

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton with epsilon transitions and only Player I can elapse time. We show that for fixed number…

Formal Languages and Automata Theory · Computer Science 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We present a theory of automata with boundary for designing, modelling and analysing distributed systems. Notions of behaviour, design and simulation appropriate to the theory are defined. The problem of model checking for deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 R. Gates , P. Katis , N. Sabadini , R. F. C. Walters

The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

We introduce a measure called width, quantifying the amount of nondeterminism in automata. Width generalises the notion of good-for-games (GFG) automata, that correspond to NFAs of width 1, and where an accepting run can be built on-the-fly…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Denis Kuperberg , Anirban Majumdar

We provide new insights on the determinization and minimization of tree automata using congruences on trees. From this perspective, we study a Brzozowski's style minimization algorithm for tree automata. First, we prove correct this method…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Pierre Ganty , Elena Gutiérrez , Pedro Valero

The automatic generation of decision trees based on off-line reasoning on models of a domain is a reasonable compromise between the advantages of using a model-based approach in technical domains and the constraints imposed by embedded…

Artificial Intelligence · Computer Science 2011-06-28 L. Console , C. Picardi , D. Theseider Duprè

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Naoki Nishida , Masahiko Sakai , Yasuhiro Nakano

An automaton is history-deterministic if its nondeterminism can be resolved on the fly, only using the prefix of the word read so far. This mild form of nondeterminism has attracted particular attention for its applications in synthesis…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Udi Boker , Thomas A. Henzinger , Karoliina Lehtinen , Keya Prakash

We introduce a bisimulation learning algorithm for non-deterministic transition systems. We generalise bisimulation learning to systems with bounded branching and extend its applicability to model checking branching-time temporal logic,…

Logic in Computer Science · Computer Science 2025-05-23 Alessandro Abate , Mirco Giacobbe , Christian Micheletti , Yannik Schnitzer

Tree automata based algorithms are essential in many fields in computer science such as verification, specification, program analysis. They become also essential for databases with the development of standards such as XML. In this paper, we…

Computational Complexity · Computer Science 2007-05-23 J. Carme , R. Gilleron , A. Lemay , A. Terlutte , M. Tommasi

The paper is an attempt to generalize a methodology, which is similar to the bounded-input bounded-output method currently widely used for the system stability studies. The presented earlier methodology allows decomposition of input space…

Artificial Intelligence · Computer Science 2007-05-23 Ziny Flikop

A $d$-limited automaton is a Turing machine that may rewrite each input cell at most~$d$ times. Hibbard (1967) showed that for every $d \geq 2$ such automata recognize all context-free languages and that deterministic $d$-limited automata…

Formal Languages and Automata Theory · Computer Science 2025-09-01 Alexander Rubtsov

Timing information leakage occurs whenever an attacker successfully deduces confidential internal information by observing some timed information such as events with timestamps. Timed automata are an extension of finite-state automata with…

Logic in Computer Science · Computer Science 2023-11-01 Étienne André , Engel Lefaucheux , Didier Lime , Dylan Marinho , Jun Sun

Stochastic automata are a formal compositional model for concurrent stochastic timed systems, with general distributions and non-deterministic choices. Measures of interest are defined over schedulers that resolve the nondeterminism. In…

Logic in Computer Science · Computer Science 2017-10-17 Pedro R. D'Argenio , Marcus Gerhold , Arnd Hartmanns , Sean Sedwards

Parametric timed automata extend timed automata (Alur and Dill, 1991) in that they allow the specification of parametric bounds on the clock values. Since their introduction in 1993 by Alur, Henzinger, and Vardi, it is known that the…

Logic in Computer Science · Computer Science 2014-04-02 Karin Quaas

In this article we study algorithmic synthesis of the class of stabilizing switching signals for discrete-time switched linear systems proposed in [12]. A weighted digraph is associated in a natural way to a switched system, and the…

Systems and Control · Computer Science 2019-05-27 Atreyee Kundu , Niranjan Balachandran , Debasish Chatterjee

A central question in the theory of automata is which classes of automata can be minimized in polynomial time. We close the remaining gaps for deterministic and history-deterministic automata over infinite words by proving that…

Formal Languages and Automata Theory · Computer Science 2025-04-30 Bader Abu Radi , Rüdiger Ehlers
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