Cartesian Closed Categories of Domains
Author: A. Jung
Publisher:
Published: 1989
Total Pages: 122
ISBN-13:
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Continuous Lattices and Domains
Author: G. Gierz
Publisher: Cambridge University Press
Published: 2003-03-06
Total Pages: 640
ISBN-13: 9780521803380
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Domains and Processes
Author: Klaus Keimel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 283
ISBN-13: 9401006547
DOWNLOAD EBOOKDomain 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.
Proof and System-Reliability
Author: Helmut Schwichtenberg
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 419
ISBN-13: 9401004137
DOWNLOAD EBOOKAs society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Experience has shown that confidence can only come from a more profound understanding of the issues, which in turn can come only if it is based on logically sound foundations. This volume contains contributions from leading researchers in the critical disciplines of computing and information science, mathematics, logic, and complexity. All contributions are self-contained, aiming at comprehensibility as well as comprehensiveness. The volume also contains introductory hints to technical issues, concise surveys, introductions, and various fresh results and new perspectives.
Axiomatic Domain Theory in Categories of Partial Maps
Author: Marcelo P. Fiore
Publisher: Cambridge University Press
Published: 2004-03-25
Total Pages: 260
ISBN-13: 9780521602778
DOWNLOAD EBOOKFirst systematic account of axiomatic categorical domain theory and functional programming.
Non-Hausdorff Topology and Domain Theory
Author: Jean Goubault-Larrecq
Publisher: Cambridge University Press
Published: 2013-03-28
Total Pages: 499
ISBN-13: 1107034132
DOWNLOAD EBOOKIntroduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.
Mathematical Theory of Domains
Author: V. Stoltenberg-Hansen
Publisher: Cambridge University Press
Published: 1994-09-22
Total Pages: 366
ISBN-13: 9780521383448
DOWNLOAD EBOOKIntroductory textbook/general reference in domain theory for professionals in computer science and logic.
Models of Sharing Graphs
Author: Masahito Hasegawa
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 139
ISBN-13: 1447108655
DOWNLOAD EBOOKModels of Sharing Graphs presents a sound mathematical basis for reasoning about models of computation involving shared resources, including graph rewriting systems, denotational semantics and concurrency theory. An algebraic approach, based on the language of category theory, is taken throughout this work, which enables the author to describe several aspects of the notion of sharing in a systematic way. In particular, a novel account of recursive computation created from cyclic sharing is developed using this framework.
Practical Foundations of Mathematics
Author: Paul Taylor
Publisher: Cambridge University Press
Published: 1999-05-13
Total Pages: 590
ISBN-13: 9780521631075
DOWNLOAD EBOOKPractical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.
Logic from Russell to Church
Author: Dov M. Gabbay
Publisher: Elsevier
Published: 2009-06-16
Total Pages: 1069
ISBN-13: 0080885470
DOWNLOAD EBOOKThis volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights
