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Leo Esakia on Duality in Modal and Intuitionistic Logics

Leo Esakia on Duality in Modal and Intuitionistic Logics

by Guram Bezhanishvili
Hardback
Publication Date: 04/06/2014
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This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems. Consisting of 10 chapters, written by leading experts, this volume discusses Esakia's original contributions and consequent developments that have helped to shape duality theory for modal and intuitionistic logics and to utilize it to obtain some major results in the area.

Beginning with a chapter which explores Esakia duality for S4-algebras, the volume goes on to explore Esakia duality for Heyting algebras and its generalizations to weak Heyting algebras and implicative semilattices. The book also dives into the Blok-Esakia theorem and provides an outline of the intuitionistic modal logic KM which is closely related to the Goedel-Loeb provability logic GL. One chapter scrutinizes Esakia's work interpreting modal diamond as the derivative of a topological space within the setting of point-free topology. The final chapter in the volume is dedicated to the derivational semantics of modal logic and other related issues.
ISBN:
9789401788595
9789401788595
Category:
Philosophy: logic
Format:
Hardback
Publication Date:
04-06-2014
Language:
English
Publisher:
Springer
Country of origin:
Netherlands
Pages:
334
Dimensions (mm):
235x155x23mm
Weight:
6.45kg

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