Domains and Processes: Proceedings of the 1st International Symposium on Domain Theory Shanghai, China, October 1999 (Semantics Structures in Computation)

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. Preface. 1. Encounters Between Topology and Domain Theory; J.D. Lawson. 2. The Lawon Topology on Quasicontinuous Domains; X.-Q. Xu. 3. Uk-admitting dcpos need not be sober; H. Kou. 4. The Largest Topologically Cartesian Closed Categories of Domains as Topological Spaces; H. Kou, M. Luo. 5. On the Equivalence of Some Approaches to Computability on the Real Line; D. Spreen, H. Schulz. 6. The continuous functionals of finite types over the reals; D. Normann. 7. Compact Semantics on Bc-domains; T. Fan, G.-J. Wang. 8. Normal Subsets in Abstract Bases; L. Fan, C.-Y. Zheng. 9. Semantics of Logic Programs and Representation of Smyth Powerdomain; G.-Q. Zhang, W.C. Rounds. 10. Domains of view: a foundation for specification and analysis; M. Huth. 11. Semantic Theory and Proof System of Open Bisimulation for the pi-Calculus with Mismatching; Z. Li, H. Chen. 12. Axiomatization without Prefix Combinator; Y. Fu.