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We consider algorithms and lower bounds for various problems over forest languages; as input models we allow forest algebras, deterministic forest automata and nondeterministic forest automata. For the equivalence problem, we give an…

形式语言与自动机理论 · 计算机科学 2021-06-07 Marcial Gaißert , Manfred Kufleitner

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

计算机科学中的逻辑 · 计算机科学 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

The focus of this paper is the analysis of real-time systems with recursion, through the development of good theoretical techniques which are implementable. Time is modeled using clock variables, and recursion using stacks. Our technique…

形式语言与自动机理论 · 计算机科学 2017-07-11 S. Akshay , Paul Gastin , Shankara Narayanan Krishna , Ilias Sarkar

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our…

计算机科学中的逻辑 · 计算机科学 2023-07-04 Rodrigo Raya

We investigate the orbits of automaton semigroups and groups to obtain algorithmic and structural results, both for general automata but also for some special subclasses. First, we show that a more general version of the finiteness problem…

形式语言与自动机理论 · 计算机科学 2020-07-21 Daniele D'Angeli , Dominik Francoeur , Emanuele Rodaro , Jan Philipp Wächter

Existing literature on timed opacity uses specific definitions for restricted subclasses of timed automata or limited observation models. This lack of a unified definition makes it difficult to establish formal relationships and compare the…

形式语言与自动机理论 · 计算机科学 2026-03-30 Zhe Zhang , Martijn Goorden , Michel Reniers

Finite-state tree automata are a well studied formalism for representing term languages. This paper studies the problem of determining the regularity of the set of instances of a finite set of terms with variables, where each variable is…

符号计算 · 计算机科学 2009-11-20 Omer Giménez , Guillem Godoy , Sebastian Maneth

We reinvestigate known lower bounds for the Intersection Non-Emptiness Problem for Deterministic Finite Automata (DFA's). We first strengthen conditional time complexity lower bounds from T. Kasai and S. Iwata (1985) which showed that…

形式语言与自动机理论 · 计算机科学 2026-03-24 Michael Wehar

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

We present an algorithm for active learning of deterministic timed automata with a single clock. The algorithm is within the framework of Angluin's $L^*$ algorithm and inspired by existing work on the active learning of symbolic automata.…

形式语言与自动机理论 · 计算机科学 2020-03-27 Jie An , Mingshuai Chen , Bohua Zhan , Naijun Zhan , Miaomiao Zhang

This paper investigates Kamp-like and B\"uchi-like theorems for 1-clock Alternating Timed Automata (1-ATA) and its natural subclasses. A notion of 1-ATA with loop-free-resets is defined. This automaton class is shown to be expressively…

计算机科学中的逻辑 · 计算机科学 2018-02-08 Shankara Narayanan Krishna , Khushraj Madnani , Paritosh Pandya

A word is called a reset word for a deterministic finite automaton if it maps all the states of the automaton to a unique state. Deciding about the existence of a reset word of a given maximum length for a given automaton is known to be an…

形式语言与自动机理论 · 计算机科学 2014-09-09 Vojtěch Vorel

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…

形式语言与自动机理论 · 计算机科学 2023-09-19 Giovanni Pighizzini , Luca Prigioniero

We report some further developments regarding the language theory of higher-dimensional automata (HDAs). Regular languages of HDAs are sets of finite interval partially ordered multisets (pomsets) with interfaces. We show a pumping lemma…

形式语言与自动机理论 · 计算机科学 2024-07-19 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Krzysztof Ziemiański

We prove that the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting.

群论 · 数学 2017-11-28 Laurent Bartholdi , Ivan Mitrofanov

Timed languages contain sequences of discrete events ("letters'') separated by real-valued delays, they can be recognized by timed automata, and represent behaviors of various real-time systems. The notion of bandwidth of a timed language…

形式语言与自动机理论 · 计算机科学 2023-10-04 Eugene Asarin , Aldric Degorre , Catalin Dima , Bernardo Jacobo Inclan

In automata theory, while determinisation provides a standard route to solving many common problems in automata theory, some weak forms of nondeterminism can be dealt with in some problems without costly determinisation. For example, the…

形式语言与自动机理论 · 计算机科学 2026-05-29 Thomas A. Henzinger , Keya Prakash , K. S. Thejaswini

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

计算机科学中的逻辑 · 计算机科学 2009-10-28 Anthony Widjaja To , Leonid Libkin

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.…

形式语言与自动机理论 · 计算机科学 2011-06-08 Zhilin Wu

We consider the so-called measure once finite quantum automata model introduced by Moore and Crutchfield in 2000. We show that given a language recognized by such a device and a linear context-free language, it is recursively decidable…

形式语言与自动机理论 · 计算机科学 2024-06-21 A. Bertoni , Ch. Choffrut , F. D'Alessandro