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Related papers: Learning Pomset Automata

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Automata learning has been successfully applied in the verification of hardware and software. The size of the automaton model learned is a bottleneck for scalability, and hence optimizations that enable learning of compact representations…

Formal Languages and Automata Theory · Computer Science 2019-11-04 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

In this paper we study finite higher-dimensional automata (HDAs) from the logical point of view. Languages of HDAs are sets of finite bounded-width interval pomsets with interfaces (iiPoms<=k) closed under order extension. We prove that…

Formal Languages and Automata Theory · Computer Science 2024-03-29 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Marie Fortin

We present a base class of automata that induce a numeration system and we give an algorithm to give the n-th word in the language of the automaton when the expansion of n in the induced numeration system is feeded to the automaton.…

Computation and Language · Computer Science 2007-05-23 J. F. J. Laros

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

In this paper we regard languages and their acceptors -- such as deterministic or weighted automata, transducers, or monoids -- as functors from input categories that specify the type of the languages and of the machines to categories that…

Formal Languages and Automata Theory · Computer Science 2017-11-09 Thomas Colcombet , Daniela Petrişan

We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call "a preautomaton". We study properties of preautomata and of languages recognized by preautomata.

Formal Languages and Automata Theory · Computer Science 2013-12-06 M. Dokuchaev , B. Novikov , G. Zholtkevych

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

We define a class of languages of infinite words over infinite alphabets, and the corresponding automata. The automata used for recognition are a generalisation of deterministic Muller automata to the setting of nominal sets. Remarkably,…

Formal Languages and Automata Theory · Computer Science 2013-10-16 Vincenzo Ciancia , Matteo Sammartino

We consider blind, deterministic, finite automata equipped with a register which stores an element of a given monoid, and which is modified by right multiplication by monoid elements. We show that, for monoids M drawn from a large class…

Group Theory · Mathematics 2007-05-23 Mark Kambites

Pomset automata are an operational model of weak bi-Kleene algebra, which describes programs that can fork an execution into parallel threads, upon completion of which execution can join to resume as a single thread. We characterize a…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Tobias Kappé , Paul Brunet , Bas Luttik , Alexandra Silva , Fabio Zanasi

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

In this paper we consider the class of lambda-nondeterministic linear automata as a model of the class of linear languages. As usual in other automata models, lambda-moves do not increase the acceptance power. The main contribution of this…

Formal Languages and Automata Theory · Computer Science 2016-12-01 Benjamín Bedregal

In this paper we regard languages and their acceptors - such as deterministic or weighted automata, transducers, or monoids - as functors from input categories that specify the type of the languages and of the machines to categories that…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Colcombet , Daniela Petrişan

We introduce regular languages of morphisms in free monoidal categories, with their associated grammars and automata. These subsume the classical theory of regular languages of words and trees, but also open up a much wider class of…

Formal Languages and Automata Theory · Computer Science 2022-07-04 Matthew Earnshaw , Paweł Sobociński

Let $\mathcal{P}(\Sigma^*)$ be the semiring of languages, and consider its subset $\mathcal{P}(\Sigma)$. In this paper we define the language recognized by a weighted automaton over $\mathcal{P}(\Sigma)$ and a one-letter alphabet.…

Formal Languages and Automata Theory · Computer Science 2010-07-27 Edoardo Carta-Gerardino , Parisa Babaali

Active learning of finite automata has been vigorously pursued for the purposes of analysis and explanation of black-box systems. In this paper, we study an L*-style learning algorithm for weighted automata over the max-plus semiring. The…

Formal Languages and Automata Theory · Computer Science 2024-07-16 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

We prove a Kleene theorem for higher-dimensional automata. It states that the languages they recognise are precisely the rational subsumption-closed sets of finite interval pomsets. The rational operations on these languages include a…

Formal Languages and Automata Theory · Computer Science 2024-12-18 Uli Fahrenberg , Christian Johansen , Georg Struth , Krzysztof Ziemiański

We present an algorithm for active learning of deterministic timed automata with multiple clocks. The algorithm is within the querying framework of Angluin's $L^*$ algorithm and follows the idea proposed in existing work on the active…

Formal Languages and Automata Theory · Computer Science 2024-05-21 Yu Teng , Miaomiao Zhang , Jie An

We present ALMA (Automata Learner using modulo 2 Multiplicity Automata), a Java-based tool that can learn any automaton accepting regular languages of finite or infinite words with an implementable membership query function. Users can…

Formal Languages and Automata Theory · Computer Science 2023-05-30 Nevin George

We introduce a certain restriction of weighted automata over the rationals, called image-binary automata. We show that such automata accept the regular languages, can be exponentially more succinct than corresponding NFAs, and allow for…

Formal Languages and Automata Theory · Computer Science 2022-03-29 Stefan Kiefer , Cas Widdershoven