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Author : G. Gierz
Publisher : Cambridge University Press
ISBN 13 : 9780521803380
Total Pages : 640 pages
Book Rating : 4.8/5 (33 download)
Download or read book Continuous Lattices and Domains written by G. Gierz and published by Cambridge University Press. This book was released on 2003-03-06 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author : G. Gierz
Publisher : Springer Science & Business Media
ISBN 13 : 3642676782
Total Pages : 390 pages
Book Rating : 4.6/5 (426 download)
Download or read book A Compendium of Continuous Lattices written by G. Gierz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
Author : Rudolf-Eberhard Hoffmann
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.3/5 (91 download)
Download or read book Continuous Lattices and Related Topics written by Rudolf-Eberhard Hoffmann and published by . This book was released on 1982 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf E. Hoffmann
Publisher : CRC Press
ISBN 13 : 1000154173
Total Pages : 392 pages
Book Rating : 4.0/5 (1 download)
Download or read book Continuous Lattices and Their Applications written by Rudolf E. Hoffmann and published by CRC Press. This book was released on 2020-12-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : B. Banaschewski
Publisher : Springer
ISBN 13 : 3540387552
Total Pages : 428 pages
Book Rating : 4.5/5 (43 download)
Download or read book Continuous Lattices written by B. Banaschewski and published by Springer. This book was released on 2006-11-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Keimel
Publisher : Springer Science & Business Media
ISBN 13 : 9401006547
Total Pages : 283 pages
Book Rating : 4.4/5 (1 download)
Download or read book Domains and Processes written by Klaus Keimel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.
Author : B. Banaschewski
Publisher :
ISBN 13 : 9783662197257
Total Pages : 428 pages
Book Rating : 4.1/5 (972 download)
Download or read book Continuous Lattices written by B. Banaschewski and published by . This book was released on 2014-09-01 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Grätzer
Publisher : Springer
ISBN 13 : 3319064134
Total Pages : 472 pages
Book Rating : 4.3/5 (19 download)
Download or read book Lattice Theory: Special Topics and Applications written by George Grätzer and published by Springer. This book was released on 2014-08-27 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.
Author : Guo-Qiang Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 9401712913
Total Pages : 204 pages
Book Rating : 4.4/5 (17 download)
Download or read book Domain Theory, Logic and Computation written by Guo-Qiang Zhang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation. The theory of domains has proved to be a useful tool for programming languages and other areas of computer science, and for applications in mathematics. Included in this proceedings volume are selected papers of original research presented at the 2nd International Symposium on Domain Theory in Chengdu, China. With authors from France, Germany, Great Britain, Ireland, Mexico, and China, the papers cover the latest research in these sub-areas: domains and computation, topology and convergence, domains, lattices, and continuity, and representations of domains as event and logical structures. Researchers and students in theoretical computer science should find this a valuable source of reference. The survey papers at the beginning should be of particular interest to those who wish to gain an understanding of some general ideas and techniques in this area.
Author : A. Jung
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (43 download)
Download or read book Cartesian Closed Categories of Domains written by A. Jung and published by . This book was released on 1989 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean Goubault-Larrecq
Publisher : Cambridge University Press
ISBN 13 : 1107328772
Total Pages : 499 pages
Book Rating : 4.1/5 (73 download)
Download or read book Non-Hausdorff Topology and Domain Theory written by Jean Goubault-Larrecq and published by Cambridge University Press. This book was released on 2013-03-28 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.
Author : K.P. Hart
Publisher : Elsevier
ISBN 13 : 0080530869
Total Pages : 537 pages
Book Rating : 4.0/5 (85 download)
Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book. Key features: • More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
Author : Yanwen Wu
Publisher : Springer
ISBN 13 : 3642250025
Total Pages : 630 pages
Book Rating : 4.6/5 (422 download)
Download or read book High Performance Networking, Computing, and Communication Systems written by Yanwen Wu and published by Springer. This book was released on 2011-10-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-proceedings of the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, which proceedings are published in CCIS 164. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.
Author : Diana Cristea
Publisher : Springer
ISBN 13 : 3030214621
Total Pages : 355 pages
Book Rating : 4.0/5 (32 download)
Download or read book Formal Concept Analysis written by Diana Cristea and published by Springer. This book was released on 2019-06-14 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Formal Concept Analysis, ICFCA 2019, held in Frankfurt am Main, Germany, in June 2019. The 15 full papers and 5 short papers presented in this volume were carefully reviewed and selected from 36 submissions. The book also contains four invited contributions in full paper length. The field of Formal Concept Analysis (FCA) originated in the 1980s in Darmstadt as a subfield of mathematical order theory, with prior developments in other research groups. Its original motivation was to consider complete lattices as lattices of concepts, drawing motivation from philosophy and mathematics alike. FCA has since then developed into a wide research area with applications much beyond its original motivation, for example in logic, data mining, learning, and psychology.
Author : Jean Goubault-Larrecq
Publisher : Cambridge University Press
ISBN 13 : 1107034132
Total Pages : 499 pages
Book Rating : 4.1/5 (7 download)
Download or read book Non-Hausdorff Topology and Domain Theory written by Jean Goubault-Larrecq and published by Cambridge University Press. This book was released on 2013-03-28 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.
Author : James Carlson
Publisher : Cambridge University Press
ISBN 13 : 1108422624
Total Pages : 577 pages
Book Rating : 4.1/5 (84 download)
Download or read book Period Mappings and Period Domains written by James Carlson and published by Cambridge University Press. This book was released on 2017-08-24 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
Author : Prakash Panangaden
Publisher : World Scientific
ISBN 13 : 190897866X
Total Pages : 212 pages
Book Rating : 4.9/5 (89 download)
Download or read book Labelled Markov Processes written by Prakash Panangaden and published by World Scientific. This book was released on 2009-06-23 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Labelled Markov processes are probabilistic versions of labelled transition systems with continuous state spaces. The book covers basic probability and measure theory on continuous state spaces and then develops the theory of LMPs.The main topics covered are bisimulation, the logical characterization of bisimulation, metrics and approximation theory. An unusual feature of the book is the connection made with categorical and domain theoretic concepts./a
