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This work is concerned with regular languages defined over large alphabets, either infinite or just too large to be expressed enumeratively. We define a generic model where transitions are labeled by elements of a finite partition of the…

Logic in Computer Science · Computer Science 2017-01-11 Irini-Eleftheria Mens , Oded Maler

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

Learning finite automata from positive examples has recently gained attention as a powerful approach for understanding, explaining, analyzing, and verifying black-box systems. The motivation for focusing solely on positive examples arises…

Computational Complexity · Computer Science 2025-12-08 Benjamin Bordais , Daniel Neider

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

Traditional approaches to inference of deterministic finite-state automata (DFA) stem from symbolic AI, including both active learning methods (e.g., Angluin's L* algorithm and its variants) and passive techniques (e.g., Biermann and…

Formal Languages and Automata Theory · Computer Science 2025-10-21 Elaheh Hosseinkhani , Martin Leucker

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

Large language models (LLMs) have demonstrated strong performance on formal language tasks, yet whether this reflects genuine symbolic reasoning or pattern matching on familiar constructions remains unclear. We introduce a benchmark for…

Computation and Language · Computer Science 2026-01-21 Shlok Shelat , Jay Raval , Souvik Roy , Manas Gaur

We define a two-step learner for RFSAs based on an observation table by using an algorithm for minimal DFAs to build a table for the reversal of the language in question and showing that we can derive the minimal RFSA from it after some…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Anna Kasprzik

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

Nominal set plays a central role in a group-theoretic extension of finite automata to those over an infinite set of data values. Moerman et al. proposed an active learning algorithm for nominal word automata with the equality symmetry. In…

Formal Languages and Automata Theory · Computer Science 2022-08-18 R. Nakanishi , Y. Takata , H. Seki

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

A DFA separates two disjoint languages $L_1$ and $L_2$ if it accepts every word in $L_1$ and rejects every word in $L_2$. Algorithms for active learning of small separating DFAs have many applications, e.g., for learning network invariants,…

Formal Languages and Automata Theory · Computer Science 2026-05-18 Jasper Laumen , Leonne Snel , Frits Vaandrager

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

Latent Dirichlet Allocation (LDA) is a three-level hierarchical Bayesian model for topic inference. In spite of its great success, inferring the latent topic distribution with LDA is time-consuming. Motivated by the transfer learning…

Machine Learning · Computer Science 2015-08-06 Dongxu Zhang , Tianyi Luo , Dong Wang , Rong Liu

Automata learning is a technique that has successfully been applied in verification, with the automaton type varying depending on the application domain. Adaptations of automata learning algorithms for increasingly complex types of automata…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

Specifying tasks for robotic systems traditionally requires coding expertise, deep domain knowledge, and significant time investment. While learning from demonstration offers a promising alternative, existing methods often struggle with…

Robotics · Computer Science 2024-09-12 Mattijs Baert , Sam Leroux , Pieter Simoens

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

Developing decision-support systems that complement human performance in classification tasks remains an open challenge. A popular approach, Learning to Defer (LtD), allows a Machine Learning (ML) model to pass difficult cases to a human…

Machine Learning · Computer Science 2025-10-10 Andrea Pugnana , Giovanni De Toni , Cesare Barbera , Roberto Pellungrini , Bruno Lepri , Andrea Passerini

Large language models (LLMs) often benefit from verbalized reasoning at inference time, but it remains unclear which aspects of task difficulty these extra reasoning tokens address. To investigate this question, we formalize a framework…

Artificial Intelligence · Computer Science 2025-04-03 Celine Lee , Alexander M. Rush , Keyon Vafa

The problem of learning pairwise disjoint deterministic finite automata (DFA) from positive examples has been recently addressed. In this paper, we address the problem of identifying a set of DFAs from labeled strings and come up with two…

Formal Languages and Automata Theory · Computer Science 2018-06-13 Alexis Linard