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Information, stored or transmitted in digital form, is often structured. Individual data records are usually represented as hierarchies of their elements. Together, records form larger structures. Information processing applications have to…

Computation and Language · Computer Science 2007-05-23 Nikita Schmidt , Ahmed Patel

Determinisation and completion of finite tree automata are important operations with applications in program analysis and verification. However, the complexity of the classical procedures for determinisation and completion is high. They are…

Formal Languages and Automata Theory · Computer Science 2017-11-02 John P. Gallagher , Mai Ajspur , Bishoksan Kafle

This paper presents the first step of a wider research effort to apply tree automata completion to the static analysis of functional programs. Tree Automata Completion is a family of techniques for computing or approximating the set of…

Logic in Computer Science · Computer Science 2014-10-14 Thomas Genet

Tree automata based algorithms are essential in many fields in computer science such as verification, specification, program analysis. They become also essential for databases with the development of standards such as XML. In this paper, we…

Computational Complexity · Computer Science 2007-05-23 J. Carme , R. Gilleron , A. Lemay , A. Terlutte , M. Tommasi

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

Logic languages based on the theory of rational, possibly infinite, trees have much appeal in that rational trees allow for faster unification (due to the safe omission of the occurs-check) and increased expressivity (cyclic terms can…

Programming Languages · Computer Science 2007-05-23 Roberto Bagnara , Roberta Gori , Patricia M. Hill , Enea Zaffanella

In this paper, we define a new kind of weighted tree automata where the weights are only supported by final states. We show that these automata are sequentializable and we study their closures under classical regular and algebraic…

Formal Languages and Automata Theory · Computer Science 2015-01-19 Ludovic Mignot , Nadia Ouali-Sebti , Djelloul Ziadi

We continue studying essential inputs of trees and automata. Strongly essential inputs of trees are introduced and studied. Various examples for application in Computer Science are shown.

Computational Complexity · Computer Science 2007-05-23 Ivo Damyanov , Slavcho Shtrakov

A register automaton is a finite automaton with finitely many registers ranging from an infinite alphabet. Since the valuations of registers are infinite, there are infinitely many configurations. We describe a technique to classify…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Yu-Fang Chen , Bow-Yaw Wang , Di-De Yen

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…

Formal Languages and Automata Theory · Computer Science 2017-07-11 S. Akshay , Paul Gastin , Shankara Narayanan Krishna , Ilias Sarkar

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

Timed systems, such as timed automata, are usually analyzed using their operational semantics on timed words. The classical region abstraction for timed automata reduces them to (untimed) finite state automata with the same time-abstract…

Formal Languages and Automata Theory · Computer Science 2023-06-22 S. Akshay , Paul Gastin , Shankara Narayanan Krishna

This paper grew out of three tutorial lectures on automatic structures given by the first author at the Logic Colloquium 2007. We discuss variants of automatic structures related to several models of computation: word automata, tree…

Logic · Mathematics 2008-09-22 Bakhadyr Khoussainov , Mia Minnes

Lecture notes on tree language theory, in particular recognizable tree languages and finite state tree transformations.

Formal Languages and Automata Theory · Computer Science 2015-10-08 Joost Engelfriet

Model checking properties are often described by means of finite automata. Any particular such automaton divides the set of infinite trees into finitely many classes, according to which state has an infinite run. Building the full type…

Logic in Computer Science · Computer Science 2015-07-01 Klaus Aehlig

Data trees serve as an abstraction of structured data, such as XML documents. A number of specification formalisms for languages of data trees have been developed, many of them adhering to the paradigm of register automata, which is based…

Formal Languages and Automata Theory · Computer Science 2024-07-12 Simon Prucker , Lutz Schröder

This is a book on weighted tree automata. We present the basic definitions and some of the important results in a coherent form with full proofs. The concept of weighted tree automata is part of Automata Theory and it touches the area of…

Formal Languages and Automata Theory · Computer Science 2026-01-28 Zoltán Fülöp , Heiko Vogler

Tree Regular Model Checking (TRMC) is the name of a family of techniques for analyzing infinite-state systems in which states are represented by terms, and sets of states by Tree Automata (TA). The central problem in TRMC is to decide…

Formal Languages and Automata Theory · Computer Science 2012-03-09 Thomas Genet , Tristan Le Gall , Axel Legay , Valerie Murat

Symbolic Finite Automata and Register Automata are two orthogonal extensions of finite automata motivated by real-world problems where data may have unbounded domains. These automata address a demand for a model over large or infinite…

Formal Languages and Automata Theory · Computer Science 2019-05-24 Loris D'Antoni , Tiago Ferreira , Matteo Sammartino , Alexandra Silva

We study deterministic tree-walking-storage automata, which are finite-state devices equipped with a tree-like storage. These automata are generalized stack automata, where the linear stack storage is replaced by a non-linear tree-like…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Kutrib , Uwe Meyer
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