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Automaton learning is a domain in which the target system is inferred by the automaton learning algorithm in the form of an automaton, by synthesizing a finite number of inputs and their corresponding outputs. Automaton learning makes use…

Formal Languages and Automata Theory · Computer Science 2024-04-18 Farah Haneef

Let L be an infinite regular language on a totally ordered alphabet (A,<). Feeding a finite deterministic automaton (with output) with the words of L enumerated lexicographically with respect to < leads to an infinite sequence over the…

Computational Complexity · Computer Science 2007-05-23 Michel Rigo

In this paper, we propose a novel algorithm to learn a B\"uchi automaton from a teacher who knows an $\omega$-regular language. The algorithm is based on learning a formalism named family of DFAs (FDFAs) recently proposed by Angluin and…

Formal Languages and Automata Theory · Computer Science 2017-01-18 Yong Li , Yu-Fang Chen , Lijun Zhang , Depeng Liu

This thesis is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two…

Formal Languages and Automata Theory · Computer Science 2017-06-13 Lukáš Holík

We introduce tree stack automata as a new class of automata with storage and identify a restricted form of tree stack automata that recognises exactly the multiple context-free languages.

Formal Languages and Automata Theory · Computer Science 2016-09-26 Tobias Denkinger

Data automata on data words is a decidable model proposed by Boja\'nczyk et al. in 2006. Class automata, introduced recently by Boja\'nczyk and Lasota, is an extension of data automata which unifies different automata models on data words.…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Zhilin Wu

A study of assisted problem solving formalized via decompositions of deterministic finite automata is initiated. The landscape of new types of decompositions of finite automata this study uncovered is presented. Languages with various…

Computational Complexity · Computer Science 2007-07-04 Peter Gaži , Branislav Rovan

In the following pages we discuss infinite sequences defined on a finite alphabet, and more specially those which are generated by finite automata. We have divided our paper into seven parts which are more or less self-contained. Needless…

Formal Languages and Automata Theory · Computer Science 2022-12-20 Jean-Paul Allouche , Michel Mendès France

We present efficient algorithms to reduce the size of nondeterministic B\"uchi word automata (NBA) and nondeterministic finite word automata (NFA), while retaining their languages. Additionally, we describe methods to solve PSPACE-complete…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Richard Mayr

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

We introduce a new class of automata (which we coin EU-automata) running on infininte trees of arbitrary (finite) arity. We develop and study several algorithms to perform classical operations (union, intersection, complement, projection,…

Logic in Computer Science · Computer Science 2026-02-27 François Laroussinie , Nicolas Markey

We realize constant-space quantum computation by measure-many two-way quantum finite automata and evaluate their language recognition power by analyzing patterns of their exotic behaviors and by exploring their structural properties. In…

Formal Languages and Automata Theory · Computer Science 2016-06-29 Tomoyuki Yamakami

Algorithms which learn environments represented by automata in the past have had complexity scaling with the number of states in the automaton, which can be exponentially large even for automata recognizing regular expressions with a small…

Formal Languages and Automata Theory · Computer Science 2024-05-13 Ali Cataltepe , Vanessa Kosoy

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

Saturation is a fundamental game-semantic property satisfied by strategies that interpret higher-order concurrent programs. It states that the strategy must be closed under certain rearrangements of moves, and corresponds to the intuition…

Programming Languages · Computer Science 2024-02-14 Alex Dixon , Andrzej S. Murawski

Probabilistic omega-automata are variants of nondeterministic automata for infinite words where all choices are resolved by probabilistic distributions. Acceptance of an infinite input word can be defined in different ways: by requiring…

Formal Languages and Automata Theory · Computer Science 2009-07-29 Christel Baier , Nathalie Bertrand , Marcus Größer

Many natural language processing systems operate over tokenizations of text to address the open-vocabulary problem. In this paper, we give and analyze an algorithm for the efficient construction of deterministic finite automata (DFA)…

Formal Languages and Automata Theory · Computer Science 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

Learning automata by queries is a long-studied area initiated by Angluin in 1987 with the introduction of the $L^*$ algorithm to learn regular languages, with a large body of work afterwards on many different variations and generalizations…

Formal Languages and Automata Theory · Computer Science 2024-09-18 Kevin Zhou

While the complexity of translating future linear temporal logic (LTL) into automata on infinite words is well-understood, the size increase involved in turning automata back to LTL is not. In particular, there is no known elementary bound…

Formal Languages and Automata Theory · Computer Science 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

We introduce and investigate forgetting 1-limited automata, which are single-tape Turing machines that, when visiting a cell for the first time, replace the input symbol in it by a fixed symbol, so forgetting the original contents. These…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Giovanni Pighizzini , Luca Prigioniero