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Related papers: Learning Deterministic Multi-Clock Timed Automata

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We present an algorithm for active learning of deterministic timed automata with a single clock. The algorithm is within the framework of Angluin's $L^*$ algorithm and inspired by existing work on the active learning of symbolic automata.…

Formal Languages and Automata Theory · Computer Science 2020-03-27 Jie An , Mingshuai Chen , Bohua Zhan , Naijun Zhan , Miaomiao Zhang

Active automata learning in the framework of Angluin's $L^*$ algorithm has been applied to learning many kinds of automata models. In applications to timed models such as timed automata, the main challenge is to determine guards on the…

Formal Languages and Automata Theory · Computer Science 2022-08-02 Runqing Xu , Jie An , Bohua Zhan

Active learning of timed languages is concerned with the inference of timed automata from observed timed words. The agent can query for the membership of words in the target language, or propose a candidate model and verify its equivalence…

Logic in Computer Science · Computer Science 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

We present an algorithm to learn a deterministic timed automaton (DTA) via membership and equivalence queries. Our algorithm is an extension of the L* algorithm with a Myhill-Nerode style characterization of recognizable timed languages,…

Formal Languages and Automata Theory · Computer Science 2023-05-30 Masaki Waga

We present a new learning algorithm for realtime one-counter automata. Our algorithm uses membership and equivalence queries as in Angluin's L* algorithm, as well as counter value queries and partial equivalence queries. In a partial…

Formal Languages and Automata Theory · Computer Science 2024-09-16 Véronique Bruyère , Guillermo A. Pérez , Gaëtan Staquet

We present a Myhill-Nerode style characterization for languages recognized by one-clock deterministic timed automata (1-DTA). Although there is only one clock, distinct automata may reset it differently along the same word. This adds a…

Formal Languages and Automata Theory · Computer Science 2026-04-15 Kyveli Doveri , Pierre Ganty , B. Srivathsan

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

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

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

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

The design of decision and control strategies for switched systems typically requires complete knowledge of (i) mathematical models of the subsystems and (ii) restrictions on admissible switches between the subsystems. We propose an active…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

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 well-known Nerode equivalence for finite words plays a fundamental role in our understanding of the class of regular languages. The equivalence leads to the Myhill-Nerode theorem and a canonical automaton, which in turn, is the basis of…

Formal Languages and Automata Theory · Computer Science 2024-10-04 Kyveli Doveri , Pierre Ganty , B. Srivathsan

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

Constructing an accurate system model for formal model verification can be both resource demanding and time-consuming. To alleviate this shortcoming, algorithms have been proposed for automatically learning system models based on observed…

Machine Learning · Computer Science 2012-12-18 Hua Mao , Yingke Chen , Manfred Jaeger , Thomas D. Nielsen , Kim G. Larsen , Brian Nielsen

In this paper, we propose a procedure that given an integer reset timed automaton (IRTA) ${\cal A}$, produces a language equivalent deterministic one clock IRTA ${\cal B}$ whose size is at most doubly exponential in the size of ${\cal A}$.…

Formal Languages and Automata Theory · Computer Science 2010-01-11 Lakshmi Manasa , Krishna. S

We present the first algorithm for query learning Mealy machines with timers in a black-box context. Our algorithm is an extension of the L# algorithm of Vaandrager et al. to a timed setting. We rely on symbolic queries which empower us to…

Formal Languages and Automata Theory · Computer Science 2025-08-20 Véronique Bruyère , Bharat Garhewal , Guillermo A. Pérez , Gaëtan Staquet , Frits W. Vaandrager

In this paper, we introduce a restriction of Timed Automata (TA), called non-resetting test Timed Automata (nrtTA). An nrtTA does not allow to test and reset the same clock on the same transition. The model has the same expressive power of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

We introduce the class of P-finite automata. These are a generalisation of weighted automata, in which the weights of transitions can depend polynomially on the length of the input word. P-finite automata can also be viewed as simple…

Logic in Computer Science · Computer Science 2023-10-24 Alex Buna-Marginean , Vincent Cheval , Mahsa Shirmohammadi , James Worrell

We present two active learning algorithms for sound deterministic negotiations. Sound deterministic negotiations are models of distributed systems, a kind of Petri nets or Zielonka automata with additional structure. We show that this…

Logic in Computer Science · Computer Science 2022-05-10 Anca Muscholl , Igor Walukiewicz
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