Institution-independent Model Theory

• Main Author: Diaconescu, Răzvan
• Format: Book
• Language: English
• Published: Springer 2017
• Subjects: Mathematics ; Model theory; Model Theory ; Logic, Symbolic and mathematical.; 511.3
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/25620

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.