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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.








Content:
Front Matter....Pages i-xiv
Encounters Between Topology and Domain Theory....Pages 1-32
The Lawson Topology on Quasicontinuous Domains....Pages 33-40
U K -Admitting DCPOS Need not be Sober....Pages 41-50
The Largest Topologically Cartesian Closed Categories of Domains as Topological Spaces....Pages 51-66
On The Equivalence of Some Approaches to Computability on the Real Line....Pages 67-101
The Continuous Functionals of Finite Types Over the Reals....Pages 103-124
Compact Semantics on BC-Domains....Pages 125-136
Normal Subsets in Abstract Bases....Pages 137-149
Semantics of Logic Programs and Representation of Smyth Powerdomain....Pages 151-181
Domains of View: A Foundation for Specification and Analysis....Pages 183-218
Semantic Theory and Proof System of Open Bisimulation for the ?-Calculus with Mismatching....Pages 219-244
Axiomatization Without Prefix Combinator....Pages 245-273



Content:
Front Matter....Pages i-xiv
Encounters Between Topology and Domain Theory....Pages 1-32
The Lawson Topology on Quasicontinuous Domains....Pages 33-40
U K -Admitting DCPOS Need not be Sober....Pages 41-50
The Largest Topologically Cartesian Closed Categories of Domains as Topological Spaces....Pages 51-66
On The Equivalence of Some Approaches to Computability on the Real Line....Pages 67-101
The Continuous Functionals of Finite Types Over the Reals....Pages 103-124
Compact Semantics on BC-Domains....Pages 125-136
Normal Subsets in Abstract Bases....Pages 137-149
Semantics of Logic Programs and Representation of Smyth Powerdomain....Pages 151-181
Domains of View: A Foundation for Specification and Analysis....Pages 183-218
Semantic Theory and Proof System of Open Bisimulation for the ?-Calculus with Mismatching....Pages 219-244
Axiomatization Without Prefix Combinator....Pages 245-273
....
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