Overview
- Offers a concise overview of substructural logics and their semantics
- Useful to graduate students and young researchers
- Is an exciting mix of survey papers and new research results
Part of the book series: Outstanding Contributions to Logic (OCTR, volume 23)
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About this book
This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science.
It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.
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Keywords
Table of contents (10 chapters)
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Front Matter
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Expository and Survey Chapters
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Front Matter
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Special Topics
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Front Matter
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Back Matter
Editors and Affiliations
About the editors
Nikolaos Galatos received his BS from Aristotle University in Greece and is MS and PhD in Mathematics (2003) from Vanderbilt University in the US. He has held Assistant Professor positions at the Japan Institute of Science and Technology and at Vanderbilt University. Since 2007 he is employed at the University of Denver where he is Professor of Mathematics. His area of research is at the intersection of Universal Algebra, Algebraic Logic and Proof Theory. His work has focused on residuated lattices and substructural logics, exploring the interplay between order algebra and proof theory. He has published more than thirty research articles, served as an editor for a special issue, and coauthored a book.
Kazushige Terui received his BA, MS and PhD in Philosophy (2002) from Keio University. He has been an Associate Professor at the National Institute of Informatics in Tokyo and many other visiting positions in Europe. Since 2008 he is an Associate Professor atthe Research Institute for Mathematical Sciences at Kyoto University. His research interests and work areas include Non-classical Logics, Logics in Computer Science, Lambda Calculus, Type Theory, as well as implicit computational complexity. He has published more than thirty articles and served as a program committee member for numerous conferences.
Kazushige Terui received his BA, MS and PhD in Philosophy (2002) from Keio University. He has been an Associate Professor at the National Institute of Informatics in Tokyo and many other visiting positions in Europe. Since 2008 he is an Associate Professor atthe Research Institute for Mathematical Sciences at Kyoto University. His research interests and work areas include Non-classical Logics, Logics in Computer Science, Lambda Calculus, Type Theory, as well as implicit computational complexity. He has published more than thirty articles and served as a program committee member for numerous conferences.
Bibliographic Information
Book Title: Hiroakira Ono on Substructural Logics
Editors: Nikolaos Galatos, Kazushige Terui
Series Title: Outstanding Contributions to Logic
DOI: https://doi.org/10.1007/978-3-030-76920-8
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-76919-2Published: 14 December 2021
Softcover ISBN: 978-3-030-76922-2Published: 15 December 2022
eBook ISBN: 978-3-030-76920-8Published: 13 December 2021
Series ISSN: 2211-2758
Series E-ISSN: 2211-2766
Edition Number: 1
Number of Pages: XII, 375
Number of Illustrations: 22 b/w illustrations
Topics: Philosophy, general, Mathematical Logic and Foundations, Order, Lattices, Ordered Algebraic Structures