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Affine finite automata (AfA) can be more succinct than probabilistic and quantum finite automata when recognizing some regular languages with bounded-error. In this paper, we improve previously known constructions given for the succinctness…

Formal Languages and Automata Theory · Computer Science 2021-07-01 Abuzer Yakaryılmaz

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

Neuromorphic computing is a relatively new discipline of computer science, where the principles of biological brain's computation and memory are used to create a new way of processing information, based on networks of spiking neurons. Those…

Hardware Architecture · Computer Science 2026-05-19 Wiktor J. Szczerek , Artur Podobas

Asynchronous automata are a model of distributed finite state processes synchronising on shared actions. A celebrated result by Zielonka shows how a deterministic asynchronous automaton (AA) can be synthesised, starting from two inputs: a…

Formal Languages and Automata Theory · Computer Science 2026-02-02 Béatrice Bérard , Benjamin Monmege , B Srivathsan , Arnab Sur

In this paper, we present a proof of the NP-completeness of computing the smallest Deterministic Finite Automaton (DFA) that distinguishes two given regular languages as DFAs. A distinguishing DFA is an automaton that recognizes a language…

Formal Languages and Automata Theory · Computer Science 2023-06-07 Jan Martens

Automata play important roles in wide area of computing and the growth of multicores calls for their efficient parallel implementation. Though it is known in theory that we can perform the computation of a finite automaton in parallel by…

Formal Languages and Automata Theory · Computer Science 2014-05-06 Ryoma Sin'ya , Kiminori Matsuzaki , Masataka Sassa

Accelerating finite automata processing is critical for advancing real-time analytic in pattern matching, data mining, bioinformatics, intrusion detection, and machine learning. Recent in-memory automata accelerators leveraging SRAMs and…

Hardware Architecture · Computer Science 2021-12-02 Yi Huang , Zhiyu Chen , Dai Li , Kaiyuan Yang

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup

We present techniques to parallelize membership tests for Deterministic Finite Automata (DFAs). Our method searches arbitrary regular expressions by matching multiple bytes in parallel using speculation. We partition the input string into…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-23 Yousun Ko , Minyoung Jung , Yo-Sub Han , Bernd Burgstaller

We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

A fundamental question lies in almost every application of deep neural networks: what is the optimal neural architecture given a specific dataset? Recently, several Neural Architecture Search (NAS) frameworks have been developed that use…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-04 Weiwen Jiang , Xinyi Zhang , Edwin H. -M. Sha , Lei Yang , Qingfeng Zhuge , Yiyu Shi , Jingtong Hu

AI acceleration has been dominated by GPUs, but the growing need for lower latency, energy efficiency, and fine-grained hardware control exposes the limits of fixed architectures. In this context, Field-Programmable Gate Arrays (FPGAs)…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Arturo Urías Jiménez

Deterministic Finite Automata (DFAs) are of central importance in automata theory. In view of how state diagrams for DFAs are defined using directed graphs, this leads us to introduce a generalization of DFAs related to a method widely used…

Formal Languages and Automata Theory · Computer Science 2025-06-18 John M. Campbell

Here we propose an extension of the (deterministic and the nondeterministic) finite automaton with translucent letters (DFAwtl and NFAwtl), which lies between these automata and their non-returning variants (that is, the nr-DFAwtl and the…

Formal Languages and Automata Theory · Computer Science 2024-09-12 František Mráz , Friedrich Otto

Non-deterministic Finite Automata (NFA) represent regular languages concisely, increasing their appeal for applications such as word recognition. This paper proposes a new approach to generate NFA from an interaction language such as UML…

Formal Languages and Automata Theory · Computer Science 2023-08-04 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Arnault Lapitre , Pascale Le Gall

Exclusive nondeterministic finite automata (XNFA) are nondeterministic finite automata with a special acceptance condition. An input is accepted if there is exactly one accepting path in its computation tree. If there are none or more than…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Martin Kutrib , Andreas Malcher , Matthias Wendlandt

History-deterministic automata are those in which nondeterministic choices can be correctly resolved stepwise: there is a strategy to select a continuation of a run given the next input letter so that if the overall input word admits some…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Soumyajit Paul , David Purser , Sven Schewe , Qiyi Tang , Patrick Totzke , Di-De Yen

The problem DFA-Intersection-Nonemptiness asks if a given number of deterministic automata accept a common word. In general, this problem is PSPACE-complete. Here, we investigate this problem for the subclasses of commutative automata and…

Formal Languages and Automata Theory · Computer Science 2021-08-12 Henning Fernau , Stefan Hoffmann , Michael Wehar

In contrast to the fixed parameter analysis (FPA), in the variable parameter analysis (VPA) the value of the target problem parameter is not fixed, it rather depends on the structure of a given problem instance and tends to have a favorable…

Data Structures and Algorithms · Computer Science 2022-11-07 Nodari Vakhania

An index for a finite automaton is a powerful data structure that supports locating paths labeled with a query pattern, thus solving pattern matching on the underlying regular language. In this paper, we solve the long-standing problem of…

Data Structures and Algorithms · Computer Science 2020-07-16 Nicola Cotumaccio , Nicola Prezza