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Ajouter au panierTaschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been de ned in literature. We shallconcentrateonthesevariants,andaspects,of completenesswhicharede ned in propositional logic. Completeness means the possibility of getting all correct and reliable sc- mata of inference by use of logical methods. The word 'all', seemingly neutral, is here a crucial point of distinction. Assuming the de nition as given by E. Post we get, say, a global notion of completeness in which the reliability refers only to syntactic means of logic and outside the correct schemata of inference there are only inconsistent ones. It is impossible, however, to leave aside local aspects of the notion when we want to make it relative to some given or invented notion of truth. Completeness understood in this sense is the adequacy of logic in relation to some semantics, and the change of the logic is accompanied by the change of its semantics. Such completeness was e ectively used by J. ukasiewicz and investigated in general terms by A. Tarski and A. Lindenbaum, which gave strong foundations for research in logic and, in particular, for the notion of consequence operation determined by a logical system. The choice of logical means, by use of which we intend to represent logical inferences, is also important. Most of the de nitions and results in completeness theory were originally developed in terms of propositional logic. Propositional formal systems nd many applications in logic and theoretical computer science.
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Ajouter au panierPaperback or Softback. Etat : New. Completeness Theory for Propositional Logics 0.85. Book.
Edité par Birkh�user 2008-04-17, 2008
ISBN 10 : 3764385170 ISBN 13 : 9783764385170
Langue: anglais
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Edité par Birkhäuser Basel, Springer Basel Apr 2008, 2008
ISBN 10 : 3764385170 ISBN 13 : 9783764385170
Langue: anglais
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Ajouter au panierTaschenbuch. Etat : Neu. Neuware -Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been de ned in literature. We shallconcentrateonthesevariants,andaspects,of completenesswhicharede ned in propositional logic. Completeness means the possibility of getting all correct and reliable sc- mata of inference by use of logical methods. The word ¿all¿, seemingly neutral, is here a crucial point of distinction. Assuming the de nition as given by E. Post we get, say, a global notion of completeness in which the reliability refers only to syntactic means of logic and outside the correct schemata of inference there are only inconsistent ones. It is impossible, however, to leave aside local aspects of the notion when we want to make it relative to some given or invented notion of truth. Completeness understood in this sense is the adequacy of logic in relation to some semantics, and the change of the logic is accompanied by the change of its semantics. Such completeness was e ectively used by J. ukasiewicz and investigated in general terms by A. Tarski and A. Lindenbaum, which gave strong foundations for research in logic and, in particular, for the notion of consequence operation determined by a logical system. The choice of logical means, by use of which we intend to represent logical inferences, is also important. Most of the de nitions and results in completeness theory were originally developed in terms of propositional logic. Propositional formal systems nd many applications in logic and theoretical computer science.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 192 pp. Englisch.
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Ajouter au panierKartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops theory for one of the most important notions in the methodology of formal systemsAllows a more profound view upon essential properties of propositional systemsTheory of logical matrices and of consequence operations is exploited.
Edité par Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2008, 2008
ISBN 10 : 3764385170 ISBN 13 : 9783764385170
Langue: anglais
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Ajouter au panierTaschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been de ned in literature. We shallconcentrateonthesevariants,andaspects,of completenesswhicharede ned in propositional logic. Completeness means the possibility of getting all correct and reliable sc- mata of inference by use of logical methods. The word 'all', seemingly neutral, is here a crucial point of distinction. Assuming the de nition as given by E. Post we get, say, a global notion of completeness in which the reliability refers only to syntactic means of logic and outside the correct schemata of inference there are only inconsistent ones. It is impossible, however, to leave aside local aspects of the notion when we want to make it relative to some given or invented notion of truth. Completeness understood in this sense is the adequacy of logic in relation to some semantics, and the change of the logic is accompanied by the change of its semantics. Such completeness was e ectively used by J. ukasiewicz and investigated in general terms by A. Tarski and A. Lindenbaum, which gave strong foundations for research in logic and, in particular, for the notion of consequence operation determined by a logical system. The choice of logical means, by use of which we intend to represent logical inferences, is also important. Most of the de nitions and results in completeness theory were originally developed in terms of propositional logic. Propositional formal systems nd many applications in logic and theoretical computer science. 178 pp. Englisch.