000 02658nam a22004815i 4500
001 978-3-7643-8708-2
003 DE-He213
005 20161121231216.0
007 cr nn 008mamaa
008 100301s2008 sz | s |||| 0|eng d
020 _a9783764387082
_9978-3-7643-8708-2
024 7 _a10.1007/978-3-7643-8708-2
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aDiaconescu, Răzvan.
_eauthor.
245 1 0 _aInstitution-independent Model Theory
_h[electronic resource] /
_cby Răzvan Diaconescu.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2008.
300 _aXI, 376 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Universal Logic
505 0 _aCategories -- 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.
520 _aA 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.
650 0 _aMathematics.
650 0 _aLogic.
650 0 _aMathematical logic.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aMathematical Logic and Formal Languages.
650 2 4 _aLogic.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764387075
830 0 _aStudies in Universal Logic
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7643-8708-2
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510167
_d510167