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Quantum finite automata were introduced by C.Moore, J.P. Crutchfield, and by A.Kondacs and J.Watrous. This notion is not a generalization of the deterministic finite automata. Moreover, it was proved that not all regular languages can be…

量子物理 · 物理学 2011-06-14 Andris Ambainis , Richard Bonner , Rusins Freivalds , Marats Golovkins , Marek Karpinski

In a one-counter automaton (OCA), one can produce a letter from some finite alphabet, increment and decrement the counter by one, or compare it with constants up to some threshold. It is well-known that universality and language inclusion…

形式语言与自动机理论 · 计算机科学 2016-07-20 Benedikt Bollig

In a recent paper we have described an optical implementation of a measure-once one-way quantum finite automaton recognizing a well-known family of unary periodic languages, accepting words not in the language with a given error…

We present the open-source tool finsm.io, a tool for creating, simulating and exporting deterministic and non-deterministic finite state automata (DFA/NFA). We first describe the conceptual background on which the tool is based, followed by…

计算机与社会 · 计算机科学 2024-10-17 Christopher William Schankula , Lucas Dutton

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)…

形式语言与自动机理论 · 计算机科学 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

We introduce Symbolic Alternating Finite Automata (s-AFA) as an expressive, succinct, and decidable model for describing sets of finite sequences over arbitrary alphabets. Boolean operations over s-AFAs have linear complexity, which is in…

形式语言与自动机理论 · 计算机科学 2016-10-07 Loris D'Antoni , Zachary Kincaid , Fang Wang

We consider notions of freeness and ambiguity for the acceptance probability of Moore-Crutchfield Measure Once Quantum Finite Automata (MO-QFA). We study the injectivity problem of determining if the acceptance probability function of a…

形式语言与自动机理论 · 计算机科学 2021-07-01 Paul C. Bell , Mika Hirvensalo

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

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…

形式语言与自动机理论 · 计算机科学 2019-09-18 Kaizaburo Chubachi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

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

In this paper, we show the all final subclass of two-way Watson-Crick automata have the same computational power as the classical two-way Watson-Crick automata. Here we compare the computational power of two-way Watson-Crick automata and…

形式语言与自动机理论 · 计算机科学 2020-05-18 Debayan Ganguly , Kingshuk Chatterjee , Kumar Sankar Ray

The purpose of this paper is to use reinforcement learning to model learning agents which can recognize formal languages. Agents are modeled as simple multi-head automaton, a new model of finite automaton that uses multiple heads, and six…

机器学习 · 计算机科学 2020-10-21 Alper Şekerci , Özlem Salehi

One Counter Nets (OCNs) are finite-state automata equipped with a counter that cannot become negative, but cannot be explicitly tested for zero. Their close connection to various other models (e.g., PDAs, Vector Addition Systems, and…

形式语言与自动机理论 · 计算机科学 2024-11-19 Shaull Almagor , Michaël Cadilhac , Asaf Yeshurun

We introduce Merlin-Arthur (MA) automata where Merlin provides a certificate at the beginning of computation and it is scanned by Arthur before reading the input. We define Merlin-Arthur deterministic, probabilistic, and quantum finite…

形式语言与自动机理论 · 计算机科学 2024-07-19 Abuzer Yakaryılmaz

We study the computational and descriptional complexity of the following transformation: Given a one-counter automaton (OCA) A, construct a nondeterministic finite automaton (NFA) B that recognizes an abstraction of the language L(A): its…

形式语言与自动机理论 · 计算机科学 2016-02-11 Mohamed Faouzi Atig , Dmitry Chistikov , Piotr Hofman , K Narayan Kumar , Prakash Saivasan , Georg Zetzsche

In the field of computational logic, two classes of finite automata are considered fundamental: deterministic and nondeterministic automata (DFAs and NFAs). In a more fine-grained approach three natural intermediate classes were introduced,…

形式语言与自动机理论 · 计算机科学 2025-07-22 Karolina Drabik , Anita Dürr , Fabian Frei , Filip Mazowiecki , Karol Węgrzycki

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

An interference management problem among multiple overlapped random access networks (RANs) is investigated, each of which operates with slotted ALOHA protocol. Assuming that access points and users have multiple antennas, a novel…

信息论 · 计算机科学 2016-11-17 Hu Jin , Sang-Woon Jeon , Bang Chul Jung

Indistinguishability obfuscation (iO) has emerged as a powerful cryptographic primitive with many implications. While classical iO, combined with the infinitely-often worst-case hardness of $\mathsf{NP}$, is known to imply one-way functions…

量子物理 · 物理学 2025-07-02 Tomoyuki Morimae , Yuki Shirakawa , Takashi Yamakawa

Automata over infinite words, also known as omega-automata, play a key role in the verification and synthesis of reactive systems. The spectrum of omega-automata is defined by two characteristics: the acceptance condition (e.g. B\"uchi or…

形式语言与自动机理论 · 计算机科学 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah