Data Processing

Big Data Integration Theory: Theory and Methods of Database - download pdf or read online

By Zoran Majkić

ISBN-10: 331904155X

ISBN-13: 9783319041551

ISBN-10: 3319041568

ISBN-13: 9783319041568

This ebook provides a unique method of database techniques, describing a express good judgment for database schema mapping according to perspectives, inside a framework for database integration/exchange and peer-to-peer. Database mappings, database programming languages, and denotational and operational semantics are mentioned intensive. An research strategy can be constructed that mixes suggestions from moment order common sense, facts modeling, co-algebras and functorial categorial semantics. positive aspects: presents an creation to logics, co-algebras, databases, schema mappings and classification thought; describes the middle strategies of massive info integration conception, with examples; examines the houses of the DB classification; defines the categorial RDB laptop; provides complete operational semantics for database mappings; discusses matching and merging operators for databases, common algebra issues and algebraic lattices of the databases; explores the connection of the database susceptible monoidal topos w.r.t. intuitionistic logic.

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Extra info for Big Data Integration Theory: Theory and Methods of Database Mappings, Programming Languages, and Semantics

Example text

G ∗ (tk )) ∈ IT (ri ); • If a formula φ is a propositional letter, then g satisfies φ iff IT (φ) = 1; • g satisfies ¬φ iff it does not satisfy φ; • g satisfies φ ∧ ψ iff g satisfies φ and g satisfies ψ ; • g satisfies (∃xi )φ iff there exists an assignment g ∈ U X that may differ from g only for the variable xi ∈ X, and g satisfies φ. A formula φ is true for a given interpretation IT iff φ is satisfied by every assignment g ∈ U X . , tautology) iff φ is true for every Tarski’s interpretation IT ∈ IT (for example, r∅ and, for each propositional letter p ∈ PR, p ⇒ p are valid).

G ∗ (tk )). We denote by t/g (or φ/g) the ground term (or formula) without free variables, obtained by assignment g from a term t (or a formula φ), and by φ[x/t] the formula obtained by uniformly replacing x by a term t in φ. A sentence is a formula having no free variables. A Herbrand base of a logic L is defined by H = {ri (t1 , . . , tk ) | ri ∈ R and t1 , . . , tk are ground terms}. We define the satisfaction for the logical formulae in L and a given assignment g : X → U inductively, as follows: • If a formula φ is an atomic formula ri (t1 , .

G(xm ) | g ∈ U X and IT∗ (φ/g) = 1 . It is easy to verify that for a formula φ with the tuple of free variables x1 , . . , xm , IT∗ φ(x1 , . . 1 g(x1 ), . . , g(xm ) ∈ IT∗ φ(x1 , . . , xm ) . Extensions of the FOL for Database Theory One of the most important issues of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. It is this aspect of logic which is most prominent in model theory which deals with the relation between a formal language and its interpretations.

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Big Data Integration Theory: Theory and Methods of Database Mappings, Programming Languages, and Semantics by Zoran Majkić


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