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Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Nikolaos Galatos



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Автор: Nikolaos Galatos
Название:  Residuated Lattices: An Algebraic Glimpse at Substructural Logics
ISBN: 9780444521415
Издательство: Elsevier Science
Классификация:
ISBN-10: 0444521410
Обложка/Формат: Hardback
Страницы: 532
Вес: 0.91 кг.
Дата издания: 25.04.2007
Серия: Studies in logic and the foundations of mathematics
Язык: English
Издание: 151 ed
Иллюстрации: Illustrations
Размер: 237 x 165 x 36
Читательская аудитория: Professional & vocational
Подзаголовок: An algebraic glimpse at substructural logics
Ссылка на Издательство: Link
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Поставляется из: Англии



Substructural Logics: A Primer

Автор: Paoli F.
Название: Substructural Logics: A Primer
ISBN: 1402006055 ISBN-13(EAN): 9781402006050
Издательство: Springer
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Цена: 22521 р.
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Описание: Preface. Part I: The philosophy of substructural logics. 1. The role of structural rules in sequent calculi. Part II: The proof theory of substructural logics. 2. Basic proof systems for substructural logics. 3. Cut elimination and the decision problem. 4. Other formalisms. Part III: The algebra of substructural logics. 5. Algebraic structures. 6. Algebraic semantics. 7. Relational semantics. Appendix A: Basic glossary of algebra and graph theory. Appendix B: Other substructural logics. Bibliography. Index of subjects.

Lattices and Ordered Algebraic Structures

Автор: Blyth T.S.
Название: Lattices and Ordered Algebraic Structures
ISBN: 1852339055 ISBN-13(EAN): 9781852339050
Издательство: Springer
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Цена: 9239 р.
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Описание: Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate.The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: residuated mappings; Galois connections; modular, distributive, and complemented lattices; Boolean algebras; pseudocomplemented lattices; Stone algebras; Heyting algebras; ordered groups; lattice-ordered groups; representable groups; Archimedean ordered structures; ordered semigroups; naturally ordered regular and inverse Dubreil-Jacotin semigroups.Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science.

Associahedra, Tamari Lattices and Related Structures

Автор: M?ller-Hoissen
Название: Associahedra, Tamari Lattices and Related Structures
ISBN: 3034804040 ISBN-13(EAN): 9783034804042
Издательство: Springer
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Цена: 11549 р.
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Описание: Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.

Lattices and ordered sets

Автор: Roman, Steven
Название: Lattices and ordered sets
ISBN: 0387789006 ISBN-13(EAN): 9780387789002
Издательство: Springer
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Цена: 9239 р.
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Описание: Presents an introduction to the subject of order and lattices. This book is suitable as a course at the graduate or advanced undergraduate level or for independent study.

Tree Lattices

Автор: Bass
Название: Tree Lattices
ISBN: 0817641203 ISBN-13(EAN): 9780817641207
Издательство: Springer
Цена: 8073 р.
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Описание: Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a non-archimidean local field acting on their Bruhat-Tits trees. In particular this leads to a powerful method for studying lattices in such Lie groups.

Concept Lattices / Second International Conference on Formal Concept Analysis, ICFCA 2004, Sydney, Australia, February 23-26, 2004, Proceedings

Автор: Eklund Peter
Название: Concept Lattices / Second International Conference on Formal Concept Analysis, ICFCA 2004, Sydney, Australia, February 23-26, 2004, Proceedings
ISBN: 3540210431 ISBN-13(EAN): 9783540210436
Издательство: Springer
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Цена: 10971 р.
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Описание: This book constitutes the refereed proceedings of the Second International Conference on Formal Concept Analysis, ICFCA 2004, held in Sydney, Australia in February 2004.The 27 revised full papers presented together with 7 invited papers were carefully reviewed and selected for inclusion in the book. Formal concept analysis emerged out of efforts to restructure lattice theory and has been extended into attribute exploration, Boolean judgment, and contextual logics in order to create a powerful general framework for knowledge representation and formal reasoning; among the application areas of formal concept analysis are data and knowledge processing, data visualization, information retrieval, machine learning, data analysis, and knowledge management. The papers in this book address all current issues in formal concept analysis, ranging from foundational and methodological issues to applications in various fields.

Probabilistic Lattices: With Applications To Psychology

Автор: Narens Louis
Название: Probabilistic Lattices: With Applications To Psychology
ISBN: 9814630411 ISBN-13(EAN): 9789814630412
Издательство: World Scientific Publishing
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Цена: 10819 р.
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Описание: There Are Many Books On Lattice Theory In The Field, But None Interfaces With The Foundations Of Probability. This Book Does. It Also Develops New Probability Theories With Rigorous Foundations For Decision Theory And Applies Them To Specific Well-Known Problematic Examples. There Is Only One Other Book That Attempts This. It Uses Quantum Probability Theory From Physics. The New Probability Theories Developed In This Book Are Different; They Are Not Borrowed From Physics But Are Explicitly Designed For Decision Theory.

Lecture Notes on Algebraic Structure of Lattice-Ordered Ring

Автор: Ma Jingjing
Название: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring
ISBN: 9814571423 ISBN-13(EAN): 9789814571425
Издательство: World Scientific Publishing
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Цена: 9450 р.
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Описание: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Continuous Lattices and Domains

Автор: G. Gierz
Название: Continuous Lattices and Domains
ISBN: 0521803381 ISBN-13(EAN): 9780521803380
Издательство: Cambridge Academ
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Цена: 26431 р.
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Описание: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. The authors develop the mathematical foundations of partially ordered sets with completeness properties of various degrees, in particular directed complete ordered sets and complete lattices. Uniquely, they focus on partially ordered sets that have an extra order relation, modelling the notion that one element 'finitely approximates' another, something closely related to intrinsic topologies linking order and topology.

Extensive use is made of topological ideas, both by defining useful topologies on the structures themselves and by developing close connections with numerous aspects of topology. The theory so developed not only has applications to computer science but also within mathematics to such areas as analysis, the spectral theory of algebras and the theory of computability. This authoritative, comprehensive account of the subject will be essential for all those working in the area.

Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups

Автор: Grandis Marco
Название: Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups
ISBN: 9814407062 ISBN-13(EAN): 9789814407069
Издательство: World Scientific Publishing
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Цена: 14517 р.
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Описание: In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A parallel role is played by semigroups of endorelations.These links rest on the fact that many such systems, but not all of them, live in distributive sublattices of the modular lattices of subobjects of the system.The property of distributivity allows one to work with induced morphisms in an automatically consistent way, as we prove in a ‘Coherence Theorem for homological algebra’. (On the contrary, a ‘non-distributive’ homological structure like the bifiltered chain complex can easily lead to inconsistency, if one explores the interaction of its two spectral sequences farther than it is normally done.)The same property of distributivity also permits representations of homological structures by means of sets and lattices of subsets, yielding a precise foundation for the heuristic tool of Zeeman diagrams as universal models of spectral sequences.We thus establish an effective method of working with spectral sequences, called ‘crossword chasing’, that can often replace the usual complicated algebraic tools and be of much help to readers that want to apply spectral sequences in any field.


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