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Institution-independent Model Theory, Paperback / softback Book

Institution-independent Model Theory Paperback / softback

Part of the Studies in Universal Logic series

Paperback / softback

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 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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