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Sturmian words are infinite binary words with many equivalent definitions: They have a minimal factor complexity among all aperiodic sequences; they are balanced sequences (the labels 0 and 1 are as evenly distributed as possible) and they…

Discrete Mathematics · Computer Science 2008-09-12 Nicolas Gast , Bruno Gaujal

In temporal logics, a central question is about the choice of modalities and their relative expressive power, in comparison to the complexity of decision problems such as satisfiability. In this tutorial, we will illustrate the study of…

Logic in Computer Science · Computer Science 2017-03-08 Kamal Lodaya , Paritosh K. Pandya

We study the problem of generating, ranking and unranking of unlabeled ordered trees whose nodes have maximum degree of $\Delta$. This class of trees represents a generalization of chemical trees. A chemical tree is an unlabeled tree in…

Computational Complexity · Computer Science 2016-08-22 Mahdi Amani , Abbas Nowzari-Dalini

Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we…

Logic in Computer Science · Computer Science 2015-07-01 Jan Schwinghammer , Lars Birkedal , Bernhard Reus , Hongseok Yang

We consider the language of $\Delta_0$-formulas with list terms interpreted over hereditarily finite list superstructures. We study the complexity of reasoning in extensions of the language of $\Delta_0$-formulas with non-standard list…

Logic in Computer Science · Computer Science 2020-01-27 Sergey Goncharov , Sergey Ospichev , Denis Ponomaryov , Dmitri Sviridenko

Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure of parse trees and other tree-structured data, such as XML. We…

Logic in Computer Science · Computer Science 2015-07-01 Rajeev Alur , Marcelo Arenas , Pablo Barcelo , Kousha Etessami , Neil Immerman , Leonid Libkin

We prove that the isomorphism of scattered tree automatic linear orders as well as the existence of automorphisms of scattered word automatic linear orders are undecidable. For the existence of automatic automorphisms of word automatic…

Logic in Computer Science · Computer Science 2012-04-26 Dietrich Kuske

We consider the problem of computing the measure of a regular set of infinite binary trees. While the general case remains unsolved, we show that the measure of a language can be computed when the set is given in one of the following three…

Formal Languages and Automata Theory · Computer Science 2020-02-03 Marcin Przybyłko , Michał Skrzypczak

We apply decision tree induction to the problem of discourse clue word sense disambiguation with a genetic algorithm. The automatic partitioning of the training set which is intrinsic to decision tree induction gives rise to linguistically…

cmp-lg · Computer Science 2008-02-03 Eric V. Siegel , Kathleen R. McKeown

With XML becoming an ubiquitous language for data interoperability purposes in various domains, efficiently querying XML data is a critical issue. This has lead to the design of algebraic frameworks based on tree-shaped patterns akin to the…

Databases · Computer Science 2017-01-18 Marouane Hachicha , Jérôme Darmont

Analytics on structured data is a mature field with many successful methods. However, most real world data exists in unstructured form, such as images and conversations. We investigate the potential of Large Language Models (LLMs) to enable…

We study the question of whether a given regular language of finite trees can be defined in first-order logic. We develop an algebraic approach to address this question and we use it to derive several necessary and sufficient conditions for…

Formal Languages and Automata Theory · Computer Science 2024-07-02 Achim Blumensath

We introduce forest straight-line programs (FSLPs) as a compressed representation of unranked ordered node-labelled trees. FSLPs are based on the operations of forest algebra and generalize tree straight-line programs. We compare the…

Data Structures and Algorithms · Computer Science 2018-02-16 Adrià Gascón , Markus Lohrey , Sebastian Maneth , Carl Philipp Reh , Kurt Sieber

Regular word grammars are restricted context-free grammars that define all the recognizable languages of words. This paper generalizes regular grammars from words to certain classes of graphs, by defining regular grammars for unordered…

Formal Languages and Automata Theory · Computer Science 2025-06-17 Marius Bozga , Radu Iosif , Florian Zuleger

This thesis describes the theoretical and practical foundations of a system for the static analysis of XML processing languages. The system relies on a fixpoint temporal logic with converse, derived from the mu-calculus, where models are…

Programming Languages · Computer Science 2014-05-27 Pierre Geneves

As fragments of first-order logic, Description logics (DLs) do not provide nonmonotonic features such as defeasible inheritance and default rules. Since many applications would benefit from the availability of such features, several…

Logic in Computer Science · Computer Science 2014-01-16 Piero A. Bonatti , Carsten Lutz , Frank Wolter

We introduce the first cut-free nested sequent systems for first-order modal logics that admit increasing, decreasing, constant, and empty domains along with so-called general path conditions and seriality. We obtain such systems by means…

Logic in Computer Science · Computer Science 2023-11-09 Tim S. Lyon

We show that testing inclusion between languages represented by regular expressions with numerical occurrence indicators (RE#s) is NP-hard, even if the expressions satisfy the requirement of "unambiguity", which is required for XML Schema…

Computational Complexity · Computer Science 2011-11-03 Pekka Kilpeläinen

Unranked trees can be represented using their minimal dag (directed acyclic graph). For XML this achieves high compression ratios due to their repetitive mark up. Unranked trees are often represented through first child/next sibling (fcns)…

Data Structures and Algorithms · Computer Science 2013-09-24 Mireille Bousquet-Melou , Markus Lohrey , Sebastian Maneth , Eric Noeth

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

Data Structures and Algorithms · Computer Science 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso