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.
Tabella dei contenuti
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
Circa l’autore
Dr. Zoran Majkić is Chief Technology Advisor at Jumper Consulting Investment Ltd., Dublin, Ireland. He is also affiliated with the International Society for Research in Science and Technology, Tallahassee, FL, USA.
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