Razvan Diaconescu

Institution-independent Model Theory

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Studies in Universal Logic
• Verlag: Birkhäuser / Birkhäuser Basel / Springer, Basel
• Artikelnr. des Verlages: 12195299, 978-3-7643-8707-5
• 2008
• Seitenzahl: 392
• Erscheinungstermin: 16. Mai 2008
• Englisch
• Abmessung: 244mm x 170mm x 22mm
• Gewicht: 768g
• ISBN-13: 9783764387075
• ISBN-10: 3764387076
• Artikelnr.: 23313833

Inhaltsangabe

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.

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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.