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We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

形式语言与自动机理论 · 计算机科学 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

We construct a probabilistic finite automaton (PFA) with 7 states and an input alphabet of 5 symbols for which the PFA Emptiness Problem is undecidable. The only input for the decision problem is the starting distribution. For the proof, we…

形式语言与自动机理论 · 计算机科学 2024-12-09 Günter Rote

Affine finite automata (AfA) can be more succinct than probabilistic and quantum finite automata when recognizing some regular languages with bounded-error. In this paper, we improve previously known constructions given for the succinctness…

形式语言与自动机理论 · 计算机科学 2021-07-01 Abuzer Yakaryılmaz

The theory of abstract argumentation frameworks (afs) has, in the main, focused on finite structures, though there are many significant contexts where argumentation can be regarded as a process involving infinite objects. To address this…

人工智能 · 计算机科学 2018-10-12 Pietro Baroni , Federico Cerutti , Paul E. Dunne , Massimiliano Giacomin

A data language is a set of finite words defined on an infinite alphabet. Data languages are used to express properties associated with data values (domain defined over a countably infinite set). In this paper, we introduce set augmented…

形式语言与自动机理论 · 计算机科学 2023-11-14 Ansuman Banerjee , Kingshuk Chatterjee , Shibashis Guha

In this paper, we present a proof of the NP-completeness of computing the smallest Deterministic Finite Automaton (DFA) that distinguishes two given regular languages as DFAs. A distinguishing DFA is an automaton that recognizes a language…

形式语言与自动机理论 · 计算机科学 2023-06-07 Jan Martens

A quantum finite-state automaton (QFA) is a theoretical model designed to simulate the evolution of a quantum system with finite memory in response to sequential input strings. We define the language of a QFA as the set of strings that lead…

计算与语言 · 计算机科学 2024-07-04 SeungYeop Baik , Sicheol Sung , Yo-Sub Han

Grammatical inference consists in learning a formal grammar as a finite state machine or as a set of rewrite rules. In this paper, we are concerned with inferring Nondeterministic Finite Automata (NFA) that must accept some words, and…

人工智能 · 计算机科学 2023-03-17 Tomasz Jastrzab , Frédéric Lardeux , Eric Monfroy

Non-deterministic Finite Automata (NFA) represent regular languages concisely, increasing their appeal for applications such as word recognition. This paper proposes a new approach to generate NFA from an interaction language such as UML…

形式语言与自动机理论 · 计算机科学 2023-08-04 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Arnault Lapitre , Pascale Le Gall

Compact representations of automata are important for efficiency. In this paper, we study methods to compute reduced automata, in which no two states accept the same language. We do this for finitary automata (FA), an abstract definition…

形式语言与自动机理论 · 计算机科学 2023-04-14 Keri D'Angelo , Alexandra Silva , Gerco van Heerdt , Leon Witzman

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…

形式语言与自动机理论 · 计算机科学 2017-06-27 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

Students find their first course in Formal Languages and Automata Theory challenging. In addition to the development of formal arguments, most students struggle to understand nondeterministic computation models. In part, the struggle stems…

编程语言 · 计算机科学 2023-10-24 Oliwia Kempinski , Marco T. Morazán

The theory of computation is based on abstract computing automata which can be classified into a three-class hierarchy: Finite Automata (FA), Push-down Automata (PDA) and the Turing Machines (TM). Each class corresponds to grammar/language…

新兴技术 · 计算机科学 2019-03-12 Marta Duenas-Diez , Juan Perez-Mercader

Automata over infinite objects are a well-established model with applications in logic and formal verification. Traditionally, acceptance in such automata is defined based on the set of states visited infinitely often during a run. However,…

形式语言与自动机理论 · 计算机科学 2025-09-22 Antonio Casares

Complementation of finite automata is a basic operation used in numerous applications. The standard way to complement a nondeterministic finite automaton (NFA) is to transform it into an equivalent deterministic finite automaton (DFA) and…

形式语言与自动机理论 · 计算机科学 2025-07-16 Lukáš Holík , Ondřej Lengál , Juraj Major , Adéla Štěpková , Jan Strejček

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…

形式语言与自动机理论 · 计算机科学 2023-11-21 Wilson Wu

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…

机器学习 · 统计学 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

Automata play important roles in wide area of computing and the growth of multicores calls for their efficient parallel implementation. Though it is known in theory that we can perform the computation of a finite automaton in parallel by…

形式语言与自动机理论 · 计算机科学 2014-05-06 Ryoma Sin'ya , Kiminori Matsuzaki , Masataka Sassa

We propose a theoretical formalism, molecular finite automata (MFA), to describe individual proteins as rule-based computing machines. The MFA formalism provides a framework for modeling individual protein behaviors and systems-level…

定量方法 · 定量生物学 2010-09-16 Jin Yang , Xin Meng , William S. Hlavacek

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…

形式语言与自动机理论 · 计算机科学 2023-07-17 Yong Li , Sven Schewe , Qiyi Tang
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