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Topological Duality For Distributive Lattices


Topological Duality For Distributive Lattices
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Topological Duality For Distributive Lattices


Topological Duality For Distributive Lattices
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Author : Mai Gehrke
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-07

Topological Duality For Distributive Lattices written by Mai Gehrke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-07 with Computers categories.


Introduces lattice-theoretic and topological methods in logic and computer science, with applications in domain theory and automata theory.



Topological Duality For Distributive Lattices


Topological Duality For Distributive Lattices
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Author : Mai Gehrke
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-07

Topological Duality For Distributive Lattices written by Mai Gehrke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-07 with Computers categories.


Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.



Hiroakira Ono On Substructural Logics


Hiroakira Ono On Substructural Logics
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Author : Nikolaos Galatos
language : en
Publisher: Springer Nature
Release Date : 2021-12-13

Hiroakira Ono On Substructural Logics written by Nikolaos Galatos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Philosophy categories.


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.



Mathematics Logic And Their Philosophies


Mathematics Logic And Their Philosophies
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Author : Mojtaba Mojtahedi
language : en
Publisher: Springer Nature
Release Date : 2021-02-09

Mathematics Logic And Their Philosophies written by Mojtaba Mojtahedi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-09 with Philosophy categories.


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 on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.



Lukasiewicz Moisil Algebras


Lukasiewicz Moisil Algebras
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Author : V. Boicescu
language : en
Publisher: Elsevier
Release Date : 1991-05-13

Lukasiewicz Moisil Algebras written by V. Boicescu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-05-13 with Mathematics categories.


The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz. The theory of LM-algebras has developed to a considerable extent both as an algebraic theory of intrinsic interest and in view of its applications to logic and switching theory.This book gives an overview of the theory, comprising both classical results and recent contributions, including those of the authors. N-valued and &THgr;-valued algebras are presented, as well as &THgr;-algebras with negation.Mathematicians interested in lattice theory or symbolic logic, and computer scientists, will find in this monograph stimulating material for further research.



Relational And Algebraic Methods In Computer Science


Relational And Algebraic Methods In Computer Science
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Author : Uli Fahrenberg
language : en
Publisher: Springer Nature
Release Date : 2024-08-11

Relational And Algebraic Methods In Computer Science written by Uli Fahrenberg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-11 with Computers categories.


This book constitutes the refereed proceedings of the 21st International Conference, RAMiCS 2024, held in Prague, Czech Republic, during August 19–22, 2024. The 15 full papers presented in this book were carefully reviewed and selected from 21 submissions. They focus on mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.



Continuous Lattices And Their Applications


Continuous Lattices And Their Applications
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Author : Rudolf E. Hoffmann
language : en
Publisher: CRC Press
Release Date : 2020-12-17

Continuous Lattices And Their Applications written by Rudolf E. Hoffmann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Computers categories.


This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.



Algebra And Coalgebra In Computer Science


Algebra And Coalgebra In Computer Science
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Author : Alexander Kurz
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-28

Algebra And Coalgebra In Computer Science written by Alexander Kurz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-28 with Computers categories.


This book constitutes the proceedings of the Third International Conference on Algebra and Coalgebra in Computer Science, CALCO 2009, formed in 2005 by joining CMCS and WADT. This year the conference was held in Udine, Italy, September 7-10, 2009. The 23 full papers were carefully reviewed and selected from 42 submissions. They are presented together with four invited talks and workshop papers from the CALCO-tools Workshop. The conference was divided into the following sessions: algebraic effects and recursive equations, theory of coalgebra, coinduction, bisimulation, stone duality, game theory, graph transformation, and software development techniques.



General Lattice Theory


General Lattice Theory
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Author : George Grätzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-21

General Lattice Theory written by George Grätzer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-21 with Mathematics categories.


"Grätzer’s 'General Lattice Theory' has become the lattice theorist’s bible. Now we have the second edition, in which the old testament is augmented by a new testament. The new testament gospel is provided by leading and acknowledged experts in their fields. This is an excellent and engaging second edition that will long remain a standard reference." --MATHEMATICAL REVIEWS



Logic Language Information And Computation


Logic Language Information And Computation
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Author : Hiroakira Ono
language : en
Publisher: Springer
Release Date : 2009-06-07

Logic Language Information And Computation written by Hiroakira Ono and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-07 with Computers categories.


Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 16h International Workshop on Logic, Language, Information and Computation, WoLLIC 2009, held in Tokyo, Japan, in June 2009. The 25 revised full papers presented together with six tutorials and invited talks were carefully reviewed and selected from 57 submissions. The papers cover some of the most active areas of research on the frontiers between computation, logic, and linguistics, with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.