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Author : K.H. Hofmann,M. Mislove,A. Stralka
Publisher : Springer
Page : 139 pages
File Size : 42,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540377412
Author : K. H. Hofmann,M. Mislove,A. Stralka
Publisher : Unknown
Page : 148 pages
File Size : 44,5 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662194740
Author : Karl Heinrich Hofmann
Publisher : Unknown
Page : 148 pages
File Size : 42,9 Mb
Release : 1974
Category : Duality theory (Mathematics)
ISBN : UOM:39015077979220
Author : Rudolf E. Hoffmann
Publisher : CRC Press
Page : 392 pages
File Size : 40,8 Mb
Release : 2020-12-17
Category : Computers
ISBN : 9781000154177
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.
Author : A. Dold,B. Eckmann
Publisher : Springer
Page : 82 pages
File Size : 52,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781489945815
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401512336
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Alessandra Palmigiano,Mehrnoosh Sadrzadeh
Publisher : Springer Nature
Page : 1149 pages
File Size : 53,5 Mb
Release : 2023-09-02
Category : Philosophy
ISBN : 9783031241178
Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.
Author : Peter T. Johnstone
Publisher : Cambridge University Press
Page : 398 pages
File Size : 53,5 Mb
Release : 1982
Category : Mathematics
ISBN : 0521337798
A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.
Author : B. Banaschewski,R.-E. Hoffmann
Publisher : Springer
Page : 428 pages
File Size : 54,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540387558
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
Page : 1328 pages
File Size : 55,6 Mb
Release : 1976
Category : Copyright
ISBN : STANFORD:36105119498587
Author : David M. Clark,Brian A. Davey
Publisher : Cambridge University Press
Page : 372 pages
File Size : 49,8 Mb
Release : 1998-11-12
Category : Mathematics
ISBN : 0521454158
First text in subject; aimed at algebraists, category theorists in mathematics and computer science.
Author : Jane G. Pitkethly,Brian A. Davey
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 53,6 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387275703
Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras are an excellent source of examples and counterexamples. A number of results appear here for the first time. In particular, the text ends with an appendix that provides a new and definitive approach to the concept of the rank of a finite algebra and its relationship with strong dualisability.
Author : Anonim
Publisher : Unknown
Page : 834 pages
File Size : 55,5 Mb
Release : 1977
Category : Mathematics
ISBN : CHI:19190628
Author : Ivo G. Rosenberg,Gert Sabidussi
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 49,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401706971
In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.
Author : Mai Gehrke,Sam van Gool
Publisher : Cambridge University Press
Page : 369 pages
File Size : 49,7 Mb
Release : 2024-02-29
Category : Computers
ISBN : 9781009349697
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.