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We present an Angluin-style algorithm to learn nominal automata, which are acceptors of languages over infinite (structured) alphabets. The abstract approach we take allows us to seamlessly extend known variations of the algorithm to this…

Formal Languages and Automata Theory · Computer Science 2018-12-18 Joshua Moerman , Matteo Sammartino , Alexandra Silva , Bartek Klin , Michał Szynwelski

In modern machine (ML) learning systems, Transformer-based architectures have achieved milestone success across a broad spectrum of tasks, yet understanding their operational mechanisms remains an open problem. To improve the transparency…

Machine Learning · Computer Science 2024-06-11 Yihao Zhang , Zeming Wei , Meng Sun

We give an active learning algorithm for deterministic one-counter automata (DOCAs) where the learner can ask the teacher membership and minimal equivalence queries. The algorithm called OL* learns a DOCA in time polynomial in the size of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Prince Mathew , Vincent Penelle , A. V. Sreejith

Quantitative automata are useful representations for numerous applications, including modeling probability distributions over sequences to Markov chains and reward machines. Actively learning such automata typically occurs using explicitly…

Formal Languages and Automata Theory · Computer Science 2024-11-19 Eric Hsiung , Swarat Chaudhuri , Joydeep Biswas

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

Reinforcement Learning (RL) in environments with complex, history-dependent reward structures poses significant challenges for traditional methods. In this work, we introduce a novel approach that leverages automaton-based feedback to guide…

Machine Learning · Computer Science 2025-10-20 Mahyar Alinejad , Alvaro Velasquez , Yue Wang , George Atia

Let PT-DFA mean a deterministic finite automaton whose transition relation is a partial function. We present an algorithm for minimizing a PT-DFA in $O(m \lg n)$ time and $O(m+n+\alpha)$ memory, where $n$ is the number of states, $m$ is the…

Information Theory · Computer Science 2008-02-21 Antti Valmari , Petri Lehtinen

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

We present an SMT-based active learning algorithm for nondeterministic weighted automata (WFAs) as a practical and robust alternative to Hankel/L*-style methods. Our algorithm is parametric in a given semiring and, if it terminates,…

Formal Languages and Automata Theory · Computer Science 2026-05-11 Tiago Ferreira , Kevin Batz , Alexandra Silva

This paper studies active automata learning (AAL) in the presence of stochastic delays. We consider Mealy machines that have stochastic delays associated with each transition and explore how the learner can efficiently arrive at faithful…

Formal Languages and Automata Theory · Computer Science 2025-08-25 Gabriel Dengler , Sven Apel , Holger Hermanns

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

Non-Markovian Reinforcement Learning (RL) tasks present significant challenges, as agents must reason over entire trajectories of state-action pairs to make optimal decisions. A common strategy to address this is through symbolic…

Machine Learning · Computer Science 2025-09-24 Hazem Dewidar , Elena Umili

Many preference elicitation algorithms consider preference over propositional logic formulas or items with different attributes. In sequential decision making, a user's preference can be a preorder over possible outcomes, each of which is a…

Artificial Intelligence · Computer Science 2025-05-26 Hazhar Rahmani , Jie Fu

Machine learning methods are growing in relevance for biometrics and personal information processing in domains such as forensics, e-health, recruitment, and e-learning. In these domains, white-box (human-readable) explanations of systems…

Artificial Intelligence · Computer Science 2020-12-02 Alfonso Ortega , Julian Fierrez , Aythami Morales , Zilong Wang , Tony Ribeiro

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

We discuss the problem of learning a deterministic finite automaton (DFA) from a confidence oracle. That is, we are given access to an oracle $Q$ with incomplete knowledge of some target language $L$ over an alphabet $\Sigma$; the oracle…

Formal Languages and Automata Theory · Computer Science 2023-11-21 Wilson Wu

Integrating logical knowledge into deep neural network training is still a hard challenge, especially for sequential or temporally extended domains involving subsymbolic observations. To address this problem, we propose DeepDFA, a…

Machine Learning · Computer Science 2026-02-04 Elena Umili , Francesco Argenziano , Roberto Capobianco

The emergence of intelligence in large language models (LLMs) has inspired investigations into their integration into automata learning. This paper introduces the probabilistic Minimally Adequate Teacher (pMAT) formulation, which leverages…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Lekai Chen , Ashutosh Trivedi , Alvaro Velasquez

We revisit the complexity of procedures on SFAs (such as intersection, emptiness, etc.) and analyze them according to the measures we find suitable for symbolic automata: the number of states, the maximal number of transitions exiting a…

Formal Languages and Automata Theory · Computer Science 2021-07-05 Dana Fisman , Hadar Frenkel , Sandra Zilles

Learning from interpretation transition (LFIT) is a framework for learning rules from observed state transitions. LFIT has been implemented in purely symbolic algorithms, but they are unable to deal with noise or generalize to unobserved…

Machine Learning · Computer Science 2024-08-21 Yin Jun Phua , Katsumi Inoue