Book Details

Institution-independent Model Theory

Publication year: 2008

ISBN: 978-3-7643-8708-2

Internet Resource: Please Login to download book


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.


Subject: Mathematics and Statistics, Computer, Institution theory, Model theory, computer science, fundamental theorem, logic, programming, proof, ultraproduct