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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 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 : 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 : 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 : George Grätzer
Publisher : Springer
ISBN 13 : 3319064134
Total Pages : 468 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 468 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 : K.P. Hart
Publisher : Elsevier
ISBN 13 : 9780080530864
Total Pages : 536 pages
Book Rating : 4.5/5 (38 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 536 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 : Guo-Qiang Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 9401712913
Total Pages : 197 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 197 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 : Yanwen Wu
Publisher : Springer
ISBN 13 : 3642250025
Total Pages : 617 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 617 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 : 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. Contents: IntroductionMeasure TheoryIntegrationThe Radon-Nikodym TheoremA Category of Stochastic RelationsProbability Theory on Continuous SpacesBisimulation for Labelled Markov ProcessesMetrics for Labelled Markov ProcessesApproximating Labelled Markov ProcessesApproximating the ApproximationA Domain of Labelled Markov ProcessesReal-Time and Continuous Stochastic LogicRelated Work Readership: Academics, researches and postgraduate students in theoretical computer science and stochastic analysis. Keywords:Labelled Markov Processes;Approximation;Continuous Domains;Probabilistic BisimulationKey Features:An expository treatment of measure and probability on continuous state spaces aimed at computer scientists; all previous treatments are aimed at mathematicians or cover only discrete probability theoryThe first available treatment of LMPs in expository formHighlights the unique connections of domain theory and category theoryReviews:“His book allows the reader to access a great deal of the concepts and theories that have hitherto been confined to specialists' debates and not put into a global perspective. The presentation is definitely of great value to computer scientists, but should be recommended also to open-minded mathematicians.”Mathematical Reviews
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 : Elliott M. Pearl
Publisher : Elsevier
ISBN 13 : 9780080475295
Total Pages : 776 pages
Book Rating : 4.4/5 (752 download)
Download or read book Open Problems in Topology II written by Elliott M. Pearl and published by Elsevier. This book was released on 2011-08-11 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world
Author : Bob Coecke
Publisher : Springer
ISBN 13 : 3642381642
Total Pages : 365 pages
Book Rating : 4.6/5 (423 download)
Download or read book Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky written by Bob Coecke and published by Springer. This book was released on 2013-11-18 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Samson Abramsky, contains contributions written by some of his colleagues, former students, and friends. In celebration of the 60th birthday of Samson Abramsky, a conference was held in Oxford, UK, during May 28-30, 2010. The papers in this volume represent his manifold contributions to semantics, logic, games, and quantum mechanics.
Author : M.E. Carvallo
Publisher : Springer Science & Business Media
ISBN 13 : 9400929919
Total Pages : 388 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nature, Cognition and System I written by M.E. Carvallo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: usually called the classical (scientific) attitude (according to which there is a dichotomy between nature and cognition) and suggestions for better understanding of their mutual encroach ment. The authors belong more or less to the non-standard systems science, the third order cybernetics, or find themselves already beyond the third stage in the history of artificial intelli 1 gence ). They take the inescapability of the mutual implication of the description of nature and that of cognition seriously. Fourth ly, closely linking up with the previous, it emphatically calls attention to the forgotten microscopic dimension of science. If I am not mistaken we have at this moment reached the historic stage where the tremendous renascence of the mechanistic-structural paradigm, remarkably enough, calls for its functional-dynamic counterparts. The volume strives to respond to this secret trend in various disciplines and to put into words that which is tacitly alive in the minds of the ever increasing number of people in this systemsage. The investigation on the intertwinement of nature and cognition finds itself in this very paradoxical niche structured by those two opposite developments.
Author : Michael Main
Publisher : Springer Science & Business Media
ISBN 13 : 9783540190202
Total Pages : 652 pages
Book Rating : 4.1/5 (92 download)
Download or read book Mathematical Foundations of Programming Language Semantics written by Michael Main and published by Springer Science & Business Media. This book was released on 1988-03-09 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.
