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We present an algorithm for regular expression parsing and submatch extraction based on tagged deterministic finite automata. The algorithm works with different disambiguation policies. We give detailed pseudocode for the algorithm,…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Angelo Borsotti , Ulya Trafimovich

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco

The identification of a deterministic finite automaton (DFA) from labeled examples is a well-studied problem in the literature; however, prior work focuses on the identification of monolithic DFAs. Although monolithic DFAs provide accurate…

Formal Languages and Automata Theory · Computer Science 2022-05-27 Niklas Lauffer , Beyazit Yalcinkaya , Marcell Vazquez-Chanlatte , Ameesh Shah , Sanjit A. Seshia

Speculative data-parallel algorithms for language recognition have been widely experimented for various types of finite-state automata (FA), deterministic (DFA) and nondeterministic (NFA), often derived from regular expressions (RE). Such…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-13 Angelo Borsotti , Luca Breveglieri , Stefano Crespi Reghizzi , Angelo Morzenti

We give algorithms to accelerate the computation of deterministic finite automata (DFA) by calculating the state of a DFA n positions ahead utilizing a reverse scan of the next n characters. Often this requires scanning fewer than n…

Data Structures and Algorithms · Computer Science 2015-01-16 Steven M. Kearns

The work presents some new algorithms realized recently in the package TESTAS. They decide whether or not deterministic finite automaton (DFA) is synchronizing, several procedures find relatively short synchronizing words and a…

Formal Languages and Automata Theory · Computer Science 2020-11-12 Avraham N. Trahtman

An acyclic deterministic finite automaton (ADFA) is a data structure that represents a set of strings (i.e., a dictionary) and facilitates a pattern searching problem of determining whether a given pattern string is present in the…

Data Structures and Algorithms · Computer Science 2024-10-11 Hiroki Shibata , Masakazu Ishihata , Shunsuke Inenaga

Minimal deterministic finite automata (DFAs) can be reduced further at the expense of a finite number of errors. Recently, such minimization algorithms have been improved to run in time O(n log n), where n is the number of states of the…

Formal Languages and Automata Theory · Computer Science 2015-05-27 Andreas Maletti , Daniel Quernheim

The concept of Deterministic Finite Cover Automata (DFCA) was introduced at WIA '98, as a more compact representation than Deterministic Finite Automata (DFA) for finite languages. In some cases representing a finite language,…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Cezar Câmpeanu

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

We revisit the popular \emph{delayed deterministic finite automaton} (\ddfa{}) compression algorithm introduced by Kumar~et~al.~[SIGCOMM 2006] for compressing deterministic finite automata (DFAs) used in intrusion detection systems. This…

Data Structures and Algorithms · Computer Science 2024-11-26 Philip Bille , Inge Li Gørtz , Max Rishøj Pedersen

Sorting is a fundamental algorithmic pre-processing technique which often allows to represent data more compactly and, at the same time, speeds up search queries on it. In this paper, we focus on the well-studied problem of sorting and…

Data Structures and Algorithms · Computer Science 2023-04-24 Sung-Hwan Kim , Francisco Olivares , Nicola Prezza

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

Many natural language processing systems operate over tokenizations of text to address the open-vocabulary problem. In this paper, we give and analyze an algorithm for the efficient construction of deterministic finite automata (DFA)…

Formal Languages and Automata Theory · Computer Science 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

The identification of deterministic finite automata (DFAs) from labeled examples is a cornerstone of automata learning, yet traditional methods focus on learning monolithic DFAs, which often yield a large DFA lacking simplicity and…

Software Engineering · Computer Science 2025-10-14 Junjie Meng , Jie An , Yong Li , Andrea Turrini , Fanjiang Xu , Naijun Zhan , Miaomiao Zhang

We present an on-the-fly synthesis framework for Linear Temporal Logic over finite traces (LTLf) based on top-down deterministic automata construction. Existing approaches rely on constructing a complete Deterministic Finite Automaton (DFA)…

Artificial Intelligence · Computer Science 2024-08-15 Shengping Xiao , Yongkang Li , Shufang Zhu , Jun Sun , Jianwen Li , Geguang Pu , Moshe Y. Vardi

Automata learning is a successful tool for many application domains such as robotics and automatic verification. Typically, automata learning techniques operate in a supervised learning setting (active or passive) where they learn a finite…

Machine Learning · Computer Science 2025-08-25 Simon Lutz , Daniil Kaminskyi , Florian Wittbold , Simon Dierl , Falk Howar , Barbara König , Emmanuel Müller , Daniel Neider

Automata learning has many applications in artificial intelligence and software engineering. Central to these applications is the $L^*$ algorithm, introduced by Angluin. The $L^*$ algorithm learns deterministic finite-state automata (DFAs)…

Machine Learning · Computer Science 2025-11-18 Sebastian Hagedorn , Martín Muñoz , Cristian Riveros , Rodrigo Toro Icarte

Large language models (LLMs) have demonstrated strong performance on formal language tasks, yet whether this reflects genuine symbolic reasoning or pattern matching on familiar constructions remains unclear. We introduce a benchmark for…

Computation and Language · Computer Science 2026-01-21 Shlok Shelat , Jay Raval , Souvik Roy , Manas Gaur

Indexing strings via prefix (or suffix) sorting is, arguably, one of the most successful algorithmic techniques developed in the last decades. Can indexing be extended to languages? The main contribution of this paper is to initiate the…

Data Structures and Algorithms · Computer Science 2020-12-17 Jarno Alanko , Giovanna D'Agostino , Alberto Policriti , Nicola Prezza
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