Institution-independent Model Theory
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...
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oai:112.137.131.14:VNU_123-256202020-06-15T08:56:30Z Institution-independent Model Theory Diaconescu, Răzvan Mathematics ; Model theory Model Theory ; Logic, Symbolic and mathematical. 511.3 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. 2017-04-10T07:39:52Z 2017-04-10T07:39:52Z 2008 Book 978-3-7643-8707-5 http://repository.vnu.edu.vn/handle/VNU_123/25620 en 377 p. application/pdf Springer |
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Vietnam National University, Hanoi |
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VNU Library & Information Center |
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VNU Digital Repository |
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Mathematics ; Model theory Model Theory ; Logic, Symbolic and mathematical. 511.3 |
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Mathematics ; Model theory Model Theory ; Logic, Symbolic and mathematical. 511.3 Diaconescu, Răzvan Institution-independent Model Theory |
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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. |
format |
Book |
author |
Diaconescu, Răzvan |
author_facet |
Diaconescu, Răzvan |
author_sort |
Diaconescu, Răzvan |
title |
Institution-independent Model Theory |
title_short |
Institution-independent Model Theory |
title_full |
Institution-independent Model Theory |
title_fullStr |
Institution-independent Model Theory |
title_full_unstemmed |
Institution-independent Model Theory |
title_sort |
institution-independent model theory |
publisher |
Springer |
publishDate |
2017 |
url |
http://repository.vnu.edu.vn/handle/VNU_123/25620 |
_version_ |
1680967980874203136 |