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Institution-independent Model Theory: Studies in Universal Logic

Autor Razvan Diaconescu
en Limba Engleză Paperback – 16 mai 2008
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.
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Specificații

ISBN-13: 9783764387075
ISBN-10: 3764387076
Pagini: 392
Ilustrații: XI, 376 p.
Dimensiuni: 170 x 240 x 21 mm
Greutate: 0.77 kg
Ediția:2008
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Studies in Universal Logic

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Presents a novel approach to model theory beyond any commitement to concrete particular logics Develops a new top-down methodology for doing model theory leading to important theoretical consequences Within the rather large institution theory literature the first book dedicated to model theory Gathers together in a unitary way important works in the area published through various journals or even yet unpublished Includes supplementary material: sn.pub/extras