Domain Theory, Logic and Computation: Proceedings of the 2nd International Symposium on Domain Theory, Sichuan, China, October 2001 - Softcover

Inhaltsangabe

Preface. Contributing authors. 1: Playful, streamlike computation; P.-L. Curien. 1. Prologue: playing with Böhm trees. 2. Introduction. 3. Symmetric algorithms, sequential algorithms. 4. Related works. 5. Control. 6. A few more remarks. 2: Universal types and what they are good for; J.R. Longley. 1. Universal objects. 2. lambda-algebras. 3. Denotational semantics. 4. Universal types. 5. Syntax and semantics of PCF. 6. Examples of universal types. 7. Conclusions and further directions. 3: Relational representations of hyper-continuous lattices; Xiao-Quan Xu, Ying-Ming Liu. 1. Preliminaries. 2. Regular representations of completely distributive lattices. 3. Finitely regular representations of hyper-continuous lattices. 4: Convergence classes and spaces of partial functions; A.K. Seda, R. Heinze, P. Hitzler. 1. Introduction. 2. Convergence spaces and convergence classes. 3. Convergence classes and VDM. 4. Compactness of (X --> Y). 5. Conclusions and further work. 5: On meet-continuous dcpos; Hui Kou, Ying-Ming Liu, Mao-Kang Luo. 1. Introduction. 2. Basic properties of meet-continuous dcpos. 3. Dcpos with the Hausdorff Lawson topology. 4. Adjunctions between quasicontinuous domains and continuous domains. 5. Scott-open filters. 6. Concluding remarks. 6: External characterizations of continuous sL-domains; LuoshanXu. 1. Introduction. 2. Preliminaries. 3. Continuous sL-domains and their characterizations by function spaces. 4. External characterizations by posets of ideals. 7: Projectives and injectives in the category of quantales; Yong-Ming Li, Meng Zhou. 1. Introduction. 2. Regular projectives in the category of quantales. 3. Injective objects in the category of quantales. 8: On minimal event and concrete data structures; F. Bracho, M. Droste, I. Meinecke. 1. Introduction. 2. Event structures, concrete data structures and their domains. 3. Congruences on prime intervals and associated structures. 4. Maximal and minimal structures. 5. Conclusion. 9: A note on strongly finite sequent structures; D. Spreen, R. Greb. 1. Introduction. 2. Basic definitions and results. 3. Domain constructions. 4. Strongly finite sequent structures. 5. Sequent structures and preorders. 6. Constructions on preorders. 7. Conclusion.

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