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We present the first study of non-deterministic weighted automata under probabilistic semantics. In this semantics words are random events, generated by a Markov chain, and functions computed by weighted automata are random variables. We…

Formal Languages and Automata Theory · Computer Science 2019-11-01 Jakub Michaliszyn , Jan Otop

In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assumes that the functional form of the multinomial logit model is…

Dynamical Systems · Mathematics 2022-11-23 Philip Doldo , Jamol Pender

We propose two dynamical models with delay taking advantage of their complex dynamics for information processing tasks. The first model incorporates coupled delayed dynamics of multiple bits, which is shown to have desirable properties as…

chao-dyn · Physics 2007-05-23 Toru Ohira

Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete…

Statistical Mechanics · Physics 2016-07-06 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

We come up with a class of distributed quantized averaging algorithms on asynchronous communication networks with fixed, switching and random topologies. The implementation of these algorithms is subject to the realistic constraint that the…

Optimization and Control · Mathematics 2010-02-12 Minghui Zhu , Sonia Martinez

This paper studies active automata learning (AAL) in the presence of stochastic delays. We consider Mealy machines that have stochastic delays associated with each transition and explore how the learner can efficiently arrive at faithful…

Formal Languages and Automata Theory · Computer Science 2025-08-25 Gabriel Dengler , Sven Apel , Holger Hermanns

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this work, we study preference-based planning in a stochastic system modeled as a Markov decision…

Formal Languages and Automata Theory · Computer Science 2022-03-28 Abhishek Ninad Kulkarni , Jie Fu

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

We present simple classical dynamical models to address the question of introducing a stochastic nature in a time variable. These models include noise in the time variable but not in the "space" variable, which is opposite to the normal…

Other Condensed Matter · Physics 2007-05-23 Toru Ohira

Systems whose time evolutions are entirely deterministic can nevertheless be studied probabilistically, i.e. in terms of the evolution of probability distributions rather than individual trajectories. This approach is central to the…

Dynamical Systems · Mathematics 2019-09-06 S. Richard Taylor

We present a new language semantics for real-time concurrency. Its operational models are higher-dimensional timed automata (HDTAs), a generalization of both higher-dimensional automata and timed automata. In real-time concurrent systems,…

Formal Languages and Automata Theory · Computer Science 2025-02-06 Amazigh Amrane , Hugo Bazille , Emily Clement , Uli Fahrenberg , Philipp Schlehuber-Caissier

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

We introduce a new concept of approximation applicable to decision problems and functions, inspired by Bayesian probability. From the perspective of a Bayesian reasoner with limited computational resources, the answer to a problem that…

Computational Complexity · Computer Science 2025-06-27 Vanessa Kosoy , Alexander Appel

In this paper, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various $L^{p}$ ($1\le p<\infty$) norms. A general approach to investigate global exponential stability…

Dynamical Systems · Mathematics 2009-11-13 Yanxu Zheng , Tianping Chen

Reliable automated driving technology is challenged by various sources of uncertainties, in particular, behavioral uncertainties of traffic agents. It is common for traffic agents to have intentions that are unknown to others, leaving an…

Robotics · Computer Science 2025-06-10 David Isele , Alexandre Miranda Anon , Faizan M. Tariq , Goro Yeh , Avinash Singh , Sangjae Bae

Timed automata (TA) is used for modeling systems with timing aspects. A TA extends a finite automaton with a set of real valued variables called clocks, that measure the time and constraints over the clocks guard the transitions. A…

Formal Languages and Automata Theory · Computer Science 2021-04-20 Ebru Aydin Gol

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

Multiagent Systems · Computer Science 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

Delays in biological systems may be used to model events for which the underlying dynamics cannot be precisely observed, or to provide abstraction of some behavior of the system resulting more compact models. In this paper we enrich the…

Computational Engineering, Finance, and Science · Computer Science 2010-11-03 Giulio Caravagna , Jane Hillston

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

We introduce a logic to express structural properties of automata with string inputs and, possibly, outputs in some monoid. In this logic, the set of predicates talking about the output values is parametric, and we provide sufficient…

Formal Languages and Automata Theory · Computer Science 2018-10-09 Emmanuel Filiot , Nicolas Mazzocchi , Jean-François Raskin
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