Institution-independent Model TheorySpringer Science & Business Media, 1 авг. 2008 г. - Всего страниц: 376 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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1 | |
7 | |
Institutions | 23 |
Theories and Models 49 | 48 |
Internal Logic | 91 |
Model Ultraproducts | 132 |
Saturated Models | 141 |
Preservation and Axiomatizability | 163 |
Definability | 231 |
Grothendieck Institutions | 252 |
Institutions with Proofs | 275 |
Specification | 317 |
Logic Programming 337 | 336 |
A Table of Notation | 351 |
368 | |
Interpolation | 193 |