TY - BOOK AU - Diaconescu,Răzvan ED - SpringerLink (Online service) TI - Institution-independent Model Theory T2 - Studies in Universal Logic, SN - 9783764387082 AV - QA8.9-10.3 U1 - 511.3 23 PY - 2008/// CY - Basel PB - Birkhäuser Basel KW - Logic, Symbolic and mathematical KW - Computer science KW - Logic KW - Mathematical Logic and Foundations KW - Mathematical Logic and Formal Languages N1 - Categories -- Institutions -- Theories and Models -- Internal Logic -- Model Ultraproducts -- Saturated Models -- Preservation and Axiomatizability -- Interpolation -- Definability -- Possible Worlds -- Grothendieck Institutions -- Institutions with Proofs -- Specification -- Logic Programming N2 - 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 UR - https://doi.org/10.1007/978-3-7643-8708-2 ER -