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Using recent developments in coalgebraic and monad-based semantics, we present a uniform study of various notions of machines, e.g. finite state machines, multi-stack machines, Turing machines, valence automata, and weighted automata. They…

计算机科学中的逻辑 · 计算机科学 2020-03-18 Sergey Goncharov , Stefan Milius , Alexandra Silva

Finite-state transducers give efficient representations of many Natural Language phenomena. They allow to account for complex lexicon restrictions encountered, without involving the use of a large set of complex rules difficult to analyze.…

cmp-lg · 计算机科学 2008-02-03 Mehryar Mohri

Hyper-minimization is a state reduction technique that allows a finite change in the semantics. The theory for hyper-minimization of deterministic weighted tree automata is provided. The presence of weights slightly complicates the…

形式语言与自动机理论 · 计算机科学 2014-05-23 Andreas Maletti , Daniel Quernheim

We present the first study of non-deterministic weighted automata under probabilistic semantics. In this semantics words are random events, generated by a Markov chain, and functions computed by weighted automata are random variables. We…

形式语言与自动机理论 · 计算机科学 2019-11-01 Jakub Michaliszyn , Jan Otop

Affine automata provide a finite-state computational model that preserves the linear-algebraic structure of quantum computation while operating entirely over the reals. Recent work has shown that affine automata can far surpass classical…

形式语言与自动机理论 · 计算机科学 2026-05-04 Zeyu Chen , Junde Wu

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

人工智能 · 计算机科学 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

In this paper we regard languages and their acceptors - such as deterministic or weighted automata, transducers, or monoids - as functors from input categories that specify the type of the languages and of the machines to categories that…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Thomas Colcombet , Daniela Petrişan

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 present a language model consisting of a collection of costed bidirectional finite state automata associated with the head words of phrases. The model is suitable for incremental application of lexical associations in a dynamic…

cmp-lg · 计算机科学 2008-02-03 Hiyan Alshawi

Weighted automata (WA) are an important formalism to describe quantitative properties. Obtaining equivalent deterministic machines is a longstanding research problem. In this paper we consider WA with a set semantics, meaning that the…

形式语言与自动机理论 · 计算机科学 2017-01-18 Laure Daviaud , Ismael Jecker , Pierre-Alain Reynier , Didier Villevalois

We present an algorithm to build an automaton from a rational expression. This approach introduces support for extended weighted expressions. Inspired by derived-term based algorithms, its core relies on a different construct, rational…

形式语言与自动机理论 · 计算机科学 2016-05-06 Akim Demaille

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…

计算复杂性 · 计算机科学 2007-07-04 Peter Gaži , Branislav Rovan

A weighted finite-state machine with n tapes (n-WFSM) defines a rational relation on n strings. It is a generalization of weighted acceptors (one tape) and transducers (two tapes). After recalling some basic definitions about n-ary weighted…

形式语言与自动机理论 · 计算机科学 2011-05-02 André Kempe

Traditionally, finite automata theory has been used as a framework for the representation of possibly infinite sets of strings. In this work, we introduce the notion of second-order finite automata, a formalism that combines finite automata…

形式语言与自动机理论 · 计算机科学 2021-08-31 Alexsander Andrade de Melo , Mateus de Oliveira Oliveira

We consider infinite-state Attacker-Defender games with reachability objectives. The results of the paper are twofold. Firstly we prove a new language-theoretic result for weighted automata on infinite words and show its encoding into the…

形式语言与自动机理论 · 计算机科学 2015-04-28 Vesa Halava , Tero Harju , Reino Niskanen , Igor Potapov

In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the…

形式语言与自动机理论 · 计算机科学 2016-03-09 Tim Smith

The bandwidth of a timed language characterizes the quantity of information per time unit (with a finite observation precision $\varepsilon$). Obese timed automata have an unbounded frequency of events and produce information at the maximal…

形式语言与自动机理论 · 计算机科学 2025-08-26 Eugene Asarin , Aldric Degorre , Catalin Dima , Bernardo Jacobo Inclán

This paper provides a description of the algorithms employed by the Warwick AUTOMATA package for calculating the finite state automata associated with a short-lex automatic group. The aim is to provide an overview of the whole process,…

群论 · 数学 2008-02-03 Derek F. Holt

We propose to study value automata with filters, a natural generalization of regular cost automata to nondeterminism. Models such as weighted automata and Parikh automata appear naturally as specializations. Results on the expressiveness of…

形式语言与自动机理论 · 计算机科学 2015-10-09 Michaël Cadilhac , Andreas Krebs , Nutan Limaye

The weight maximization problem (WMP) is the problem of finding the word of highest weight on a weighted finite state automaton (WFA). It is an essential question that emerges in many optimization problems in automata theory. Unfortunately,…

神经与进化计算 · 计算机科学 2020-04-15 Elena Gutiérrez , Takamasa Okudono , Masaki Waga , Ichiro Hasuo