Diaconescu Institution-independent Model Theory

1. Auflage 2008
ISBN: 978-3-7643-8708-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 376 Seiten, eBook

Reihe: Studies in Universal Logic

A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. As a consequence, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained.

Zielgruppe

Research

Autoren/Hrsg.

Diaconescu, Razvan

Inhaltsverzeichnis

Categories.- Institutions.- Theories and Models.- Internal Logic.- Model Ultraproducts.- Saturated Models.- Preservation and Axiomatizability.- Interpolation.- Definability.- Possible Worlds.- Grothendieck Institutions.- Institutions with Proofs.- Specification.- Logic Programming.