|
Showing 1 - 4 of
4 matches in All Departments
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.
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.
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.
Fuzzy set theory provides us with a framework which is wider than
that of classical set theory. Various mathematical structures,
whose features emphasize the effects of ordered structure, can be
developed on the theory. Fuzzy topology is one such branch,
combining ordered structure with topological structure. This branch
of mathematics, emerged from the background - processing fuzziness,
and locale theory, proposed from the angle of pure mathematics by
the great French mathematician Ehresmann, comprise the two most
active aspects of topology on lattice, which affect each other.This
book is the first monograph to systematically reflect the
up-to-date state of fuzzy topology. It emphasizes the so-called
"pointed approach" and the effects of stratification structure
appearing in fuzzy sets.The monograph can serve as a reference book
for mathematicians, researchers, and graduate students working in
this branch of mathematics. After an appropriate rearrangements of
the chapters and sections, it can also be used as a text for
undergraduates.
|
|