Leo Esakia on Duality in Modal and Intuitionistic Logics

Nonfiction, Science & Nature, Mathematics, Logic, Religion & Spirituality, Philosophy
Cover of the book Leo Esakia on Duality in Modal and Intuitionistic Logics by , Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9789401788601
Publisher: Springer Netherlands Publication: June 3, 2014
Imprint: Springer Language: English
Author:
ISBN: 9789401788601
Publisher: Springer Netherlands
Publication: June 3, 2014
Imprint: Springer
Language: English

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 Gödel-Löb 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 Gödel-Löb 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.

More books from Springer Netherlands

Cover of the book Quantitation in Cardiology by
Cover of the book Current Issues in Maritime Economics by
Cover of the book The Universe by
Cover of the book High Resolution Archaeology and Neanderthal Behavior by
Cover of the book The Cogito and Hermeneutics: The Question of the Subject in Ricoeur by
Cover of the book Integrated Water Resources Management in the Mediterranean Region by
Cover of the book Trace Gas Emissions and Plants by
Cover of the book The Turing Test by
Cover of the book Textbook of Healthcare Ethics by
Cover of the book The Renovation of International Law by
Cover of the book John Grote by
Cover of the book Legal Reductionism and Freedom by
Cover of the book Social Science Research and Climate Change by
Cover of the book The Soils of Bulgaria by
Cover of the book Dielectric Properties of Isolated Clusters by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy