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We present an efficient Angluin-style learning algorithm for weak deterministic B\"uchi automata (wDBAs). Different to ordinary deterministic B\"uchi and co-B\"uchi automata, wDBAs have a minimal normal form, and we show that we can learn…

Formal Languages and Automata Theory · Computer Science 2025-08-21 Mona Alluwayma , Yong Li , Sven Schewe , Qiyi Tang

We investigate the internal representations that a recurrent neural network (RNN) uses while learning to recognize a regular formal language. Specifically, we train a RNN on positive and negative examples from a regular language, and ask if…

Machine Learning · Computer Science 2019-02-28 Joshua J. Michalenko , Ameesh Shah , Abhinav Verma , Richard G. Baraniuk , Swarat Chaudhuri , Ankit B. Patel

Nominal automata models serve as a formalism for data languages, and in fact often relate closely to classical register models. The paradigm of name allocation in nominal automata helps alleviate the pervasive computational hardness of…

Logic in Computer Science · Computer Science 2026-02-11 Hannes Schulze , Lutz Schröder , Üsame Cengiz

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

Formal Languages and Automata Theory · Computer Science 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

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 show how to efficiently enumerate a class of finite-memory stochastic processes using the causal representation of epsilon-machines. We characterize epsilon-machines in the language of automata theory and adapt a recent algorithm for…

Formal Languages and Automata Theory · Computer Science 2012-12-18 B. D. Johnson , J. P. Crutchfield , C. J. Ellison , C. S. McTague

This paper describes a first step towards the definition of an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

We introduce a new large-scale NLI benchmark dataset, collected via an iterative, adversarial human-and-model-in-the-loop procedure. We show that training models on this new dataset leads to state-of-the-art performance on a variety of…

Computation and Language · Computer Science 2020-05-07 Yixin Nie , Adina Williams , Emily Dinan , Mohit Bansal , Jason Weston , Douwe Kiela

It is known that 2-state binary and 3-state unary probabilistic finite automata and 2-state unary quantum finite automata recognize uncountably many languages with cutpoints. These results have been obtained by associating each recognized…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Aleksejs Naumovs , Maksims Dimitrijevs , Abuzer Yakaryılmaz

Formal languages over infinite alphabets serve as abstractions of structures and processes carrying data. Automata models over infinite alphabets, such as classical register automata or, equivalently, nominal orbit-finite automata, tend to…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Florian Frank , Daniel Hausmann , Stefan Milius , Lutz Schröder , Henning Urbat

This paper presents statistical language and translation models based on collections of small finite state machines we call ``head automata''. The models are intended to capture the lexical sensitivity of N-gram models and direct…

cmp-lg · Computer Science 2008-02-03 Hiyan Alshawi

Data words with binders formalize concurrently allocated memory. Most name-binding mechanisms in formal languages, such as the $\lambda$-calculus, adhere to properly nested scoping. In contrast, stateful programming languages with explicit…

Formal Languages and Automata Theory · Computer Science 2026-03-26 Simon Prucker , Stefan Milius , Lutz Schröder

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 propose a query learning algorithm for residual symbolic finite automata (RSFAs). Symbolic finite automata (SFAs) are finite automata whose transitions are labeled by predicates over a Boolean algebra, in which a big collection of…

Formal Languages and Automata Theory · Computer Science 2019-09-18 Kaizaburo Chubachi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

Automata learning is a popular technique for inferring minimal automata through membership and equivalence queries. In this paper, we generalise learning to the theory of coalgebras. The approach relies on the use of logical formulas as…

Logic in Computer Science · Computer Science 2019-08-09 Simone Barlocco , Clemens Kupke , Jurriaan Rot

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

We present an active automata learning algorithm which learns a decomposition of a finite state machine, based on projecting onto individual outputs. This is dual to a recent compositional learning algorithm by Labbaf et al. (2023). When…

Logic in Computer Science · Computer Science 2024-05-15 Rick Koenders , Joshua Moerman

Formal language techniques have been used in the past to study autonomous dynamical systems. However, for controlled systems, new features are needed to distinguish between information generated by the system and input control. We show how…

Computation and Language · Computer Science 2007-05-23 J. F. Martins , J. A. Dente , A. J. Pires , R. Vilela Mendes

Automaton models are often seen as interpretable models. Interpretability itself is not well defined: it remains unclear what interpretability means without first explicitly specifying objectives or desired attributes. In this paper, we…

Machine Learning · Statistics 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

In this paper, we study active learning algorithms for weighted automata over a semiring. We show that a variant of Angluin's seminal \LStar\ algorithm works when the semiring is a principal ideal domain, but not for general semirings such…

Formal Languages and Automata Theory · Computer Science 2021-10-15 Gerco van Heerdt , Clemens Kupke , Jurriaan Rot , Alexandra Silva