The Propositional Logic of Avicenna, Avicenna

Автор: Walter Carnielli; R.L. Epstein; Itala M. d`Ottavia
Название: The Semantic Foundations of Logic Volume 1: Propositional Logics
ISBN: 9401067228 ISBN-13(EAN): 9789401067225
Издательство: Springer
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Описание: The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value.

Автор: Francesca Poggiolesi
Название: Gentzen Calculi for Modal Propositional Logic
ISBN: 9400734425 ISBN-13(EAN): 9789400734425
Издательство: Springer
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Описание: This book is about proof theory for (the main systems of) modal logic. It is the first book to give a uniform and exhaustive presentation of both types of sequent calculus for modal logic, the purely syntactic sequent calculi as well as the semantic ones.

Автор: Witold A. Pogorzelski; Piotr Wojtylak
Название: Completeness Theory for Propositional Logics
ISBN: 3764385170 ISBN-13(EAN): 9783764385170
Издательство: Springer
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Описание: This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.