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Graphs and various graph-like combinatorial structures, such as preorders and hypergraphs, are ubiquitous in programming. This paper focuses on representing graphs in a purely functional programming language like Haskell. There are several…

编程语言 · 计算机科学 2022-02-21 Andrey Mokhov

Models of complex systems are widely used in the physical and social sciences, and the concept of layering, typically building upon graph-theoretic structure, is a common feature. We describe an intuitionistic substructural logic called…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Simon Docherty , David Pym

Multi-model databases are designed to store, manage, and query data in various models, such as relational, hierarchical, and graph data, simultaneously. In this paper, we provide a theoretical basis for querying categorical databases. We…

数据库 · 计算机科学 2025-04-15 Jiaheng Lu

The Calculus of Conjunctive Queries (CCQ) has foundational status in database theory. A celebrated theorem of Chandra and Merlin states that CCQ query inclusion is decidable. Its proof transforms logical formulas to graphs: each query has a…

计算机科学中的逻辑 · 计算机科学 2018-04-23 Filippo Bonchi , Jens Seeber , Pawel Sobocinski

Handling graph data is one of the most difficult tasks. Traditional techniques, such as those based on geometry and matrix factorization, rely on assumptions about the data relations that become inadequate when handling large and complex…

机器学习 · 计算机科学 2024-04-15 Zhenyu Qian , Yiming Qian , Yuting Song , Fei Gao , Hai Jin , Chen Yu , Xia Xie

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics…

形式语言与自动机理论 · 计算机科学 2010-11-02 Frédéric Peschanski , Hanna Klaudel , Raymond Devillers

Graphs are foundational across domains but remain hard to use without deep expertise. LLMs promise accessible natural language (NL) graph analytics, yet they fail to process industry-scale property graphs effectively and efficiently: such…

Although they exist since more than ten years already, have attracted diverse implementations, and have been used successfully in a significant number of applications, declarative mapping languages for constructing knowledge graphs from…

数据库 · 计算机科学 2025-03-25 Sitt Min Oo , Olaf Hartig

Graph-based semantic representations are valuable in natural language processing, where it is often simple and effective to represent linguistic concepts as nodes, and relations as edges between them. Several attempts has been made to find…

形式语言与自动机理论 · 计算机科学 2021-05-10 Johanna Björklund , Frank Drewes , Anna Jonsson

The objective of active learning (AL) is to train classification models with less number of labeled instances by selecting only the most informative instances for labeling. The AL algorithms designed for other data types such as images and…

机器学习 · 统计学 2020-07-23 Kaushalya Madhawa , Tsuyoshi Murata

Graph data management (also called NoSQL) has revealed beneficial characteristics in terms of flexibility and scalability by differently balancing between query expressivity and schema flexibility. This peculiar advantage has resulted into…

数据库 · 计算机科学 2019-09-10 Harsh Thakkar , Dharmen Punjani , Soeren Auer , Maria-Esther Vidal

In this report, we describe a novel graph invariant for computational graphs (colored directed acylic graphs) and how we used it to generate all distinct computational graphs up to isomorphism for small graphs. The algorithm iteratively…

离散数学 · 计算机科学 2019-02-19 Chris Ying

In this paper we explore the design of sequent calculi operating on graphs. For this purpose, we introduce a set of logical connectives allowing us to extend the correspondence between cographs and classical propositional formulas to any…

计算机科学中的逻辑 · 计算机科学 2024-02-13 Matteo Acclavio

Recent work on database application development platforms has sought to include a declarative formulation of a conceptual data model in the application code, using annotations or attributes. Some recent work has used metadata to include the…

数据库 · 计算机科学 2023-08-15 Malcolm Crowe , Fritz Laux

Graph-based modeling plays a fundamental role in many areas of computer science. In this paper, we introduce systems of graph formulas with variables for specifying graph properties; this notion generalizes the graph formulas introduced in…

形式语言与自动机理论 · 计算机科学 2026-01-23 Frank Drewes , Berthold Hoffmann , Mark Minas

Large Language Models (LLMs) have recently demonstrated strong capabilities in translating natural language into database queries, especially when dealing with complex graph-structured data. However, real-world queries often contain…

数据库 · 计算机科学 2025-08-14 Yuchen Tian , Kaixin Li , Hao Chen , Ziyang Luo , Hongzhan Lin , Sebastian Schelter , Lun Du , Jing Ma

We present the theory of multifunctions applied to graphs. Its interesting feature is that walks are recognized as iterations. We consider the graphs with arbitrary number of vertices which are determined by multifunctions. The mutually…

综合数学 · 数学 2017-11-02 Artur Gizycki

We investigate the power of graph isomorphism algorithms based on algebraic reasoning techniques like Gr\"obner basis computation. The idea of these algorithms is to encode two graphs into a system of equations that are satisfiable if and…

计算复杂性 · 计算机科学 2015-02-23 Christoph Berkholz , Martin Grohe

For applications that store structured data in relational databases, there is an impedance mismatch between the flat representations encouraged by relational data models and the deeply nested information that applications expect to receive.…

The multidimensional, heterogeneous, and temporal nature of speech databases raises interesting challenges for representation and query. Recently, annotation graphs have been proposed as a general-purpose representational framework for…

计算与语言 · 计算机科学 2007-05-23 Steven Bird , Peter Buneman , Wang-Chiew Tan