Articles liés à A General Algebraic Semantics for Sentential Logics
Synopsis
The purpose of this monograph is to develop a very general approach to the algebra- ization of sententiallogics, to show its results on a number of particular logics, and to relate it to other existing approaches, namely to those based on logical matrices and the equational consequence developed by Blok, Czelakowski, Pigozzi and others. The main distinctive feature of our approachlies in the mathematical objects used as models of a sententiallogic: We use abstract logics, while the dassical approaches use logical matrices. Using models with more structure allows us to reflect in them the metalogical properties of the sentential logic. Since an abstract logic can be viewed as a "bundle" or family of matrices, one might think that the new models are essentially equivalent to the old ones; but we believe, after an overall appreciation of the work done in this area, that it is precisely the treatment of an abstract logic as a single object that gives rise to a useful -and beautiful- mathematical theory, able to explain the connections, not only at the logical Ievel but at the metalogical Ievel, between a sentential logic and the particular dass of models we associate with it, namely the dass of its full models. Traditionally logical matrices have been regarded as the most suitable notion of model in the algebraic studies of sentential logics; and indeed this notion gives sev- eral completeness theorems and has generated an interesting mathematical theory.
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A General Algebraic Semantics for Sentenial Logics
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996
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Softcover. Etat : Très bon. Ancien livre de bibliothèque. Edition 1996. Tome 7. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 1996. Volume 7. Ammareal gives back up to 15% of this item's net price to charity organizations. N° de réf. du vendeur E-595-572
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A General Algebraic Semantics for Sentenial Logics
Edité par
Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2013
ISBN 10 : 3540616993
ISBN 13 : 9783540616993
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Softcover
Vendeur : Ammareal, Morangis, France
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Softcover. Etat : Très bon. Ancien livre de bibliothèque. Edition 2013. Tome 7. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 2013. Volume 7. Ammareal gives back up to 15% of this item's net price to charity organizations. N° de réf. du vendeur E-867-844
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A General Algebraic Semantics for Sentential Logics
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Springer Berlin Heidelberg, 1996
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ISBN 13 : 9783540616993
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A General Algebraic Semantics for Sentential Logics (Lecture Notes in Logic, 7)
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A General Algebraic Semantics for Sentential Logics
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Springer Berlin Heidelberg, 1996
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ISBN 13 : 9783540616993
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of this monograph is to develop a very general approach to the algebra ization of sententiallogics, to show its results on a number of particular logics, and to relate it to other existing approaches, namely to those based on logical matrices and the equational consequence developed by Blok, Czelakowski, Pigozzi and others. The main distinctive feature of our approachlies in the mathematical objects used as models of a sententiallogic: We use abstract logics, while the dassical approaches use logical matrices. Using models with more structure allows us to reflect in them the metalogical properties of the sentential logic. Since an abstract logic can be viewed as a 'bundle' or family of matrices, one might think that the new models are essentially equivalent to the old ones; but we believe, after an overall appreciation of the work done in this area, that it is precisely the treatment of an abstract logic as a single object that gives rise to a useful -and beautiful- mathematical theory, able to explain the connections, not only at the logical Ievel but at the metalogical Ievel, between a sentential logic and the particular dass of models we associate with it, namely the dass of its full models. Traditionally logical matrices have been regarded as the most suitable notion of model in the algebraic studies of sentential logics; and indeed this notion gives sev eral completeness theorems and has generated an interesting mathematical theory. N° de réf. du vendeur 9783540616993
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A General Algebraic Semantics for Sentential Logics
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A General Algebraic Semantics for Sentential Logics
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 1996, 1996
ISBN 10 : 3540616993
ISBN 13 : 9783540616993
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The purpose of this monograph is to develop a very general approach to the algebra ization of sententiallogics, to show its results on a number of particular logics, and to relate it to other existing approaches, namely to those based on logical matrices and the equational consequence developed by Blok, Czelakowski, Pigozzi and others. The main distinctive feature of our approachlies in the mathematical objects used as models of a sententiallogic: We use abstract logics, while the dassical approaches use logical matrices. Using models with more structure allows us to reflect in them the metalogical properties of the sentential logic. Since an abstract logic can be viewed as a 'bundle' or family of matrices, one might think that the new models are essentially equivalent to the old ones; but we believe, after an overall appreciation of the work done in this area, that it is precisely the treatment of an abstract logic as a single object that gives rise to a useful -and beautiful- mathematical theory, able to explain the connections, not only at the logical Ievel but at the metalogical Ievel, between a sentential logic and the particular dass of models we associate with it, namely the dass of its full models. Traditionally logical matrices have been regarded as the most suitable notion of model in the algebraic studies of sentential logics; and indeed this notion gives sev eral completeness theorems and has generated an interesting mathematical theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch. N° de réf. du vendeur 9783540616993
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A General Algebraic Semantics for Sentential Logics (Lecture Notes in Logic, 7)
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A General Algebraic Semantics for Sentential Logics (Lecture Notes in Logic)
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ISBN 13 : 9783540616993
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A General Algebraic Semantics for Sentential Logics
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