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After an apparent hiatus of roughly 30 years, we revisit a seemingly neglected subject in the theory of (one-dimensional) cellular automata: sublinear-time computation. The model considered is that of ACAs, which are language acceptors…

Computational Complexity · Computer Science 2020-06-11 Augusto Modanese

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston

We study the class of asynchronous non-uniform cellular automata (ANUCA) over an arbitrary group universe with multiple local transition rules. We introduce the notion of stable injectivity, stable reversibility, stable post-surjectivity…

Dynamical Systems · Mathematics 2022-03-03 Xuan Kien Phung

In the present paper, we study the match test for extended regular expressions. We approach this NP-complete problem by introducing a novel variant of two-way multihead automata, which reveals that the complexity of the match test is…

Formal Languages and Automata Theory · Computer Science 2017-07-14 Daniel Reidenbach , Markus L. Schmid

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

We study the expressiveness and succinctness of history-deterministic pushdown automata (HD-PDA) over finite words, that is, pushdown automata whose nondeterminism can be resolved based on the run constructed so far, but independently of…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Shibashis Guha , Ismaël Jecker , Karoliina Lehtinen , Martin Zimmermann

In this tutorial, we illustrate through examples how we can combine two classical models, namely those of pushdown automata (PDA) and timed automata, in order to obtain timed pushdown automata (TPDA). Furthermore, we describe how the…

Logic in Computer Science · Computer Science 2012-12-18 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

This study introduces Skewed Fully Asynchronous Cellular Automata (SACA), a novel update scheme in cellular automata that updates the states of only two consecutive and adjacent cells, such as ci and ci+1, simultaneously at each time step.…

Formal Languages and Automata Theory · Computer Science 2025-01-07 Virendra Kumar Gautam

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

For general input automata, there exist regular constraint languages such that asking if a given input automaton admits a synchronizing word in the constraint language is PSPACE-complete or NP-complete. Here, we investigate this problem for…

Formal Languages and Automata Theory · Computer Science 2021-09-08 Stefan Hoffmann

We present an algorithm which modifies a deterministic pushdown automaton (DPDA) such that (i) the marked language is preserved, (ii) lifelocks are removed, (iii) deadlocks are removed, (iv) all states and edges are accessible, and (v)…

Formal Languages and Automata Theory · Computer Science 2014-03-24 Sven Schneider , Uwe Nestmann

We present a new and powerful class of automata which are explicitly concurrent and allow a very simple definition of composition. The novelty of these automata is their time-synchronous message-asynchronous communication mechanism. Time…

Formal Languages and Automata Theory · Computer Science 2014-11-25 Radu Grosu , Bernhard Rumpe

We introduce hypernode automata as a new specification formalism for hyperproperties of concurrent systems. They are finite automata with nodes labeled with hypernode logic formulas and transitions labeled with actions. A hypernode logic…

Formal Languages and Automata Theory · Computer Science 2024-01-09 Ezio Bartocci , Thomas A. Henzinger , Dejan Nickovic , Ana Oliveira da Costa

Probabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many of the associated algorithmic questions are…

Formal Languages and Automata Theory · Computer Science 2022-05-20 Nathanaël Fijalkow , Cristian Riveros , James Worrell

Concurrent Kleene Algebra (CKA) is a formalism to study concurrent programs. Like previous Kleene Algebra extensions, developing a correspondence between denotational and operational perspectives is important, for both foundations and…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Tobias Kappé , Paul Brunet , Bas Luttik , Alexandra Silva , Fabio Zanasi

Robotic Vision-Language-Action (VLA) models generalize well for open-ended manipulation, but their perception is fragile under sensing-stage degradations such as extreme low light, motion blur, and black clipping. We present E-VLA, an…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Jiajun Zhai , Hao Shi , Shangwei Guo , Kailun Yang , Kaiwei Wang

We consider the problem of state-space reduction for nondeterministic weakly-hierarchical visibly pushdown automata (VPA). VPA recognize a robust and algorithmically tractable fragment of context-free languages that is natural for modeling…

Formal Languages and Automata Theory · Computer Science 2017-04-19 Matthias Heizmann , Christian Schilling , Daniel Tischner

Interrupt Timed Automata (ITA) form a subclass of stopwatch automata where reachability and some variants of timed model checking are decidable even in presence of parameters. They are well suited to model and analyze real-time operating…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Béatrice Bérard , Serge Haddad , Claudine Picaronny , Mohab Safey El Din , Mathieu Sassolas

We introduce Symbolic Alternating Finite Automata (s-AFA) as an expressive, succinct, and decidable model for describing sets of finite sequences over arbitrary alphabets. Boolean operations over s-AFAs have linear complexity, which is in…

Formal Languages and Automata Theory · Computer Science 2016-10-07 Loris D'Antoni , Zachary Kincaid , Fang Wang
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