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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

Extracting finite state automata (FSAs) from black-box models offers a powerful approach to gaining interpretable insights into complex model behaviors. To support this pursuit, we present a weighted variant of Angluin's (1987)…

Computation and Language · Computer Science 2024-12-20 Clemente Pasti , Talu Karagöz , Anej Svete , Franz Nowak , Reda Boumasmoud , Ryan Cotterell

Expert demonstrations have proven an easy way to indirectly specify complex tasks. Recent algorithms even support extracting unambiguous formal specifications, e.g. deterministic finite automata (DFA), from demonstrations. Unfortunately,…

Machine Learning · Computer Science 2025-06-24 Marcell Vazquez-Chanlatte , Karim Elmaaroufi , Stefan J. Witwicki , Matei Zaharia , Sanjit A. Seshia

We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

Machine Learning · Computer Science 2012-06-14 Muddassar A. Sindhu , Karl Meinke

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

We propose a generic categorical framework for learning unknown formal languages of various types (e.g. finite or infinite words, weighted and nominal languages). Our approach is parametric in a monad T that represents the given type of…

Formal Languages and Automata Theory · Computer Science 2020-08-31 Henning Urbat , Lutz Schröder

We present an extended automata learning framework that combines active automata learning with deductive inference. The learning algorithm asks membership and equivalence queries as in the original framework, but it is also given advice,…

Formal Languages and Automata Theory · Computer Science 2025-08-15 Michał Fica , Jan Otop

Automata learning techniques automatically generate system models from test observations. These techniques usually fall into two categories: passive and active. Passive learning uses a predetermined data set, e.g., system logs. In contrast,…

Machine Learning · Computer Science 2019-07-01 Martin Tappler , Bernhard K. Aichernig , Giovanni Bacci , Maria Eichlseder , Kim G. Larsen

In this paper, we propose a novel algorithm to learn a B\"uchi automaton from a teacher who knows an $\omega$-regular language. The algorithm is based on learning a formalism named family of DFAs (FDFAs) recently proposed by Angluin and…

Formal Languages and Automata Theory · Computer Science 2017-01-18 Yong Li , Yu-Fang Chen , Lijun Zhang , Depeng Liu

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

Angluin's L* algorithm learns the minimal (complete) deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Igor Khmelnitsky , Serge Haddad , Lina Ye , Benoît Barbot , Benedikt Bollig , Martin Leucker , Daniel Neider , Rajarshi Roy

In this paper, we present a categorical approach to learning automata over words, in the sense of the $L^*$-algorithm of Angluin. This yields a new generic $L^*$-like algorithm which can be instantiated for learning deterministic automata,…

Formal Languages and Automata Theory · Computer Science 2020-10-27 Thomas Colcombet , Daniela Petrişan , Riccardo Stabile

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

Angluin's L$^*$ algorithm learns the minimal deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence query by…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Lina Ye , Igor Khmelnitsky , Serge Haddad , Benoît Barbot , Benedikt Bollig , Martin Leucker , Daniel Neider , Rajarshi Roy

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

We investigate a learning algorithm in the context of nominal automata, an extension of classical automata to alphabets featuring names. This class of automata captures nominal regular languages; analogously to the classical language…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Yi Xiao , Emilio Tuosto

We present an algorithm for extraction of a probabilistic deterministic finite automaton (PDFA) from a given black-box language model, such as a recurrent neural network (RNN). The algorithm is a variant of the exact-learning algorithm L*,…

Machine Learning · Computer Science 2020-01-01 Gail Weiss , Yoav Goldberg , Eran Yahav

Since the seminal work by Angluin and the introduction of the L*-algorithm, active learning of automata by membership and equivalence queries has been extensively studied to learn various extensions of automata. For weighted automata,…

Formal Languages and Automata Theory · Computer Science 2025-08-13 Laure Daviaud , Marianne Johnson

Automata learning is a popular technique used to automatically construct an automaton model from queries. Much research went into devising ad hoc adaptations of algorithms for different types of automata. The CALF project seeks to unify…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Gerco van Heerdt , Tobias Kappé , Jurriaan Rot , Matteo Sammartino , Alexandra Silva

Families of DFAs (FDFAs) have recently been introduced as a new representation of $\omega$-regular languages. They target ultimately periodic words, with acceptors revolving around accepting some representation $u\cdot v^\omega$. Three…

Formal Languages and Automata Theory · Computer Science 2023-07-17 Yong Li , Sven Schewe , Qiyi Tang
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