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The downward closure of a language $L$ of words is the set of all (not necessarily contiguous) subwords of members of $L$. It is well known that the downward closure of any language is regular. Although the downward closure seems to be a…

Formal Languages and Automata Theory · Computer Science 2014-09-30 Georg Zetzsche

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

This paper designs an efficient two-class pattern classifier utilizing asynchronous cellular automata (ACAs). The two-state three-neighborhood one-dimensional ACAs that converge to fixed points from arbitrary seeds are used here for pattern…

Cellular Automata and Lattice Gases · Physics 2016-02-01 Biswanath Sethi , Souvik Roy , Sukanta Das

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words,…

Formal Languages and Automata Theory · Computer Science 2023-04-05 Shaull Almagor , Omer Yizhaq

Esparza and Reiter have recently conducted a systematic comparative study of weak asynchronous models of distributed computing, in which a network of identical finite-state machines acts cooperatively to decide properties of the network's…

Formal Languages and Automata Theory · Computer Science 2025-04-11 Flavio T. Principato , Javier Esparza , Philipp Czerner

State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-03 Lisbeth Fajstrup , Eric Goubault , Emmanuel Haucourt , Samuel Mimram , Martin Raussen

In this work we consider two rich subclasses of weighted automata over fields: polynomially ambiguous weighted automata and copyless cost register automata. Primarily we are interested in understanding their expressiveness power. Over the…

Formal Languages and Automata Theory · Computer Science 2026-01-13 Filip Mazowiecki , Antoni Puch , Daniel Smertnig

The regular separability problem asks, for two given languages, if there exists a regular language including one of them but disjoint from the other. Our main result is decidability, and PSpace-completeness, of the regular separability…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Wojciech Czerwiński , Sławomir Lasota

To translate speech for automatic dubbing, machine translation needs to be isochronous, i.e. translated speech needs to be aligned with the source in terms of speech durations. We introduce target factors in a transformer model to predict…

Computation and Language · Computer Science 2023-05-23 Proyag Pal , Brian Thompson , Yogesh Virkar , Prashant Mathur , Alexandra Chronopoulou , Marcello Federico

The phase diagram of the coupled sine circle map lattice shows spatio-temporal intermittency of two distinct types: spatio-temporal intermittency of the directed percolation (DP) class, and spatial intermittency which does not belong to…

Chaotic Dynamics · Physics 2007-07-06 Zahera Jabeen , Neelima Gupte

In this paper, we introduce a novel method for active learning of deterministic real-time one-counter automata (DROCA). The existing techniques for learning DROCA rely on observing the behaviour of the DROCA up to exponentially large…

Formal Languages and Automata Theory · Computer Science 2025-03-11 Prince Mathew , Vincent Penelle , A. V. Sreejith

Currently there is great interest in computational models consisting of underlying regular computational environments, and built on them distributed computational structures. Examples of such models are cellular automata, spatial…

Formal Languages and Automata Theory · Computer Science 2010-07-23 Oleksiy Kurgansky

For any fixed $k$, a remarkably simple single-tape Turing machine can simulate $k$ independent counters in real time. Informally, a counter is a storage unit that maintains a single integer (initially 0), incrementing it, decrementing it,…

Computational Complexity · Computer Science 2007-05-23 Joel Seiferas , Paul Vitanyi

We consider the problem of distributed multi-task learning, where each machine learns a separate, but related, task. Specifically, each machine learns a linear predictor in high-dimensional space,where all tasks share the same small…

Machine Learning · Statistics 2015-10-05 Jialei Wang , Mladen Kolar , Nathan Srebro

A typewriter automaton is a special variant of a two-dimensional automaton that receives two-dimensional words as input and is only capable of moving its input head through its input word in three directions: downward, leftward, and…

Formal Languages and Automata Theory · Computer Science 2022-07-21 Taylor J. Smith

A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. For a long time, these models have interested the community for their nice properties such as locality or translation invariance. This…

Quantum Physics · Physics 2025-03-03 Mathieu Roget , Giuseppe Di Molfetta

Shared registers are basic objects used as communication mediums in asynchronous concurrent computation. A concurrent timestamp system is a higher typed communication object, and has been shown to be a powerful tool to solve many…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Sibsankar Haldar , Paul Vitanyi

Automata networks are a very general model of interacting entities, with applications to biological phenomena such as gene regulation. In many contexts, the order in which entities update their state is unknown, and the dynamics may be very…

Discrete Mathematics · Computer Science 2020-04-07 Camille Noûs , Kévin Perrot , Sylvain Sené , Lucas Venturini

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

Logic in Computer Science · Computer Science 2015-03-20 Ahmed Rezine

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller