Residuated Lattices
  • Author : Nikolaos Galatos
  • Release Date : 29 November 2022
  • Publisher : Elsevier Science Limited
  • Genre : Computers
  • Pages : 509
  • ISBN 13 : 0444521410

Residuated Lattices Book Summary

As the book progresses the first objective gains predominance over the second. Although the precise point of equilibrium would be difficult to specify, it is safe to say that we enter the technical part with the discussion of various completions of residuated structures. These include Dedekind-McNeille completions and canonical extensions. Completions are used later in investigating several finiteness properties such as the finite model property, generation of varieties by their finite members, and finite embeddability. The algebraic analysis of cut elimination that follows, also takes recourse to completions. Decidability of logics, equational and quasi-equational theories comes next, where we show how proof theoretical methods like cut elimination are preferable for small logics/theories, but semantic tools like Rabin's theorem work better for big ones.-

Residuated Lattices

Residuated Lattices

Author : Nikolaos Galatos
Publisher : Elsevier Science Limited
Genre : Computers
Total View : 9006 Views
File Size : 44,5 Mb
Get Book

As the book progresses the first objective gains predominance over the second. Although the precise point of equilibrium would be difficult to specify, it is safe to say that we enter the technical part with the discussion of various completions of residuated structures. These include Dedekind-McNeille completions and canonical extensions. ...

Residuated Lattices  An Algebraic Glimpse at Substructural Logics

Residuated Lattices An Algebraic Glimpse at Substructural Logics

Author : Nikolaos Galatos,Peter Jipsen,Tomasz Kowalski,Hiroakira Ono
Publisher : Elsevier
Genre : Mathematics
Total View : 4576 Views
File Size : 54,9 Mb
Get Book

The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At ...

Hiroakira Ono on Substructural Logics

Hiroakira Ono on Substructural Logics

Author : Nikolaos Galatos,Kazushige Terui
Publisher : Springer Nature
Genre : Philosophy
Total View : 383 Views
File Size : 48,8 Mb
Get 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 Perspectives on Substructural Logics

Algebraic Perspectives on Substructural Logics

Author : Davide Fazio,Antonio Ledda,Francesco Paoli
Publisher : Springer Nature
Genre : Philosophy
Total View : 9424 Views
File Size : 46,9 Mb
Get Book

This volume presents the state of the art in the algebraic investigation into substructural logics. It features papers from the workshop AsubL (Algebra & Substructural Logics - Take 6). Held at the University of Cagliari, Italy, this event is part of the framework of the Horizon 2020 Project SYSMICS: SYntax meets Semantics: Methods, ...

Mathematics  Logic  and their Philosophies

Mathematics Logic and their Philosophies

Author : Mojtaba Mojtahedi,Shahid Rahman,Mohammad Saleh Zarepour
Publisher : Springer Nature
Genre : Philosophy
Total View : 8112 Views
File Size : 54,8 Mb
Get Book

This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers ...

Interval   Probabilistic Uncertainty and Non classical Logics

Interval Probabilistic Uncertainty and Non classical Logics

Author : Van-Nam Huynh,Yoshiteru Nakamori,Hiroakira Ono,Jonathan Lawry,Vladik Kreinovich,Hung T. Nguyen
Publisher : Springer Science & Business Media
Genre : Mathematics
Total View : 2267 Views
File Size : 43,9 Mb
Get Book

This book contains the proceedings of the first International Workshop on Interval/Probabilistic Uncertainty and Non Classical Logics, Ishikawa, Japan, March 25-28, 2008. The workshop brought together researchers working on interval and probabilistic uncertainty and on non-classical logics. It is hoped this workshop will lead to a boost in the much-needed ...

Trends in Logic

Trends in Logic

Author : Vincent F. Hendricks,Jacek Malinowski
Publisher : Springer Science & Business Media
Genre : Philosophy
Total View : 7054 Views
File Size : 49,6 Mb
Get Book

In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a ...

The Application of Fuzzy Logic for Managerial Decision Making Processes

The Application of Fuzzy Logic for Managerial Decision Making Processes

Author : Andreas Meier,Edy Portmann,Kilian Stoffel,Luis Terán
Publisher : Springer
Genre : Computers
Total View : 3456 Views
File Size : 41,6 Mb
Get Book

This book addresses the latest research and applications of fuzzy management methods for business decisions. It showcases a broad set of applications and discusses topics such as measures for the quality of analytics outcomes in big data environments; how fuzzy management methods support the inclusion of human thinking and human ...