Big data integration theory : theory and methods of database mappings, programming languages, and semantics
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Bibliographic Information
Big data integration theory : theory and methods of database mappings, programming languages, and semantics
(Texts in computer science)
Springer, c2014
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Includes bibliographical references and index
Description and Table of Contents
Description
This book presents a novel approach to database concepts, describing a categorical logic for database schema mapping based on views, within a framework for database integration/exchange and peer-to-peer. Database mappings, database programming languages, and denotational and operational semantics are discussed in depth. An analysis method is also developed that combines techniques from second order logic, data modeling, co-algebras and functorial categorial semantics. Features: provides an introduction to logics, co-algebras, databases, schema mappings and category theory; describes the core concepts of big data integration theory, with examples; examines the properties of the DB category; defines the categorial RDB machine; presents full operational semantics for database mappings; discusses matching and merging operators for databases, universal algebra considerations and algebraic lattices of the databases; explores the relationship of the database weak monoidal topos w.r.t. intuitionistic logic.
Table of Contents
Introduction and Technical Preliminaries
Composition of Schema Mappings: Syntax and Semantics
Definition of DB Category
Functorial Semantics for Database Schema Mappings
Extensions of Relational Codd's Algebra and DB Category
Categorial RDB Machines
Operational Semantics for Database Mappings
The Properties of DB Category
Weak Monoidal DB Topos
by "Nielsen BookData"