Institution-independent model theory [[electronic resource] /] / Răzvan Diaconescu

• Autore: Diaconescu Răzvan
• Pubblicazione: Basel ; ; Boston, : Birkhäuser, c2008
• Edizione: 1st ed. 2008.
• Descrizione fisica: 1 online resource (386 p.)
• Disciplina: 511.3; 511.34
• Soggetto topico: Model theory; Logic, Symbolic and mathematical
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Institution-independent model theory
• ISBN: 1-281-86259-2; 9786611862596; 3-7643-8708-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910782098603321
• Lo trovi qui: Univ. Federico II
• Serie: Studies in universal logic.