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Institution-independent Model Theory 2nd Edition

SKU: 9783031688546

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Additional information

Full Title

Institution-independent Model Theory 2nd Edition

Author(s)

Răzvan Diaconescu

Edition

2nd Edition

ISBN

9783031688546, 9783031688539

Publisher

Birkhäuser

Format

PDF and EPUB

Description

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 general 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 axiomatic top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. Consequently, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained. Moreover, all this is also applied to non-classical model theories. This second edition introduces some novelties in the presentation style which aim to enhance the readability of the material and the proofs. Additional chapters have also been added.