
Prof. Dr. Dieter Spreen
Adresse
Prof. Dr. Dieter Spreen
FB 6: Mathematik
Theoretische Informatik
Emmy-Noether-Campus
Walter-Flex-Str. 3
57072 Siegen
Germany
FB 6: Mathematik
Theoretische Informatik
Emmy-Noether-Campus
Walter-Flex-Str. 3
57072 Siegen
Germany
| E-mail: | spreen@informatik.uni-siegen.de |
| Telefon:
|
+49 (0) 271 / 740-3165 |
| Fax.:
|
+49 (0) 271 / 740-2532 |
| Raum:
|
EN-B 0122 |
Forschungsinteressen
- Berechenbarkeits- und Komplexitästheorie
- Effectively Given Data Structures
- Bereichstheorie
- Lambda-Kalkül
- Logik
- Topologie
Neuere Veröffentlichungen
- Effectivity and effective continuity of
multifunctions
. To appear in The Journal of Symbolic Logic. - Representing L-Domains as Information Systems.
. Schriften zur Theoretischen Informatik Nr. 08-03. Universität Siegen 2008. - A construction method
for partial metrics
. Topology Proceedings 33,
41-54 (2008).
- Information systems
revisited: the general continuous case
(with Luoshan Xu
and Xuxin Mao). Theoretical Computer Science 405,
176-187 (2008). - On some problems in
computable topology
. Logic Colloquium 2005
(Dimitracopoulos, C. et. al., eds.). Cambridge University
Press 2008, 221-254. - A note on partial numberings (with S. Badaev). Mathematical Logic Quarterly 51, 129-136 (2005).
- Strong reducibility for partial numberings. Archive for Mathematical Logic 44, 209-217 (2005).
- Domains with approximation
structure and their canonical quasi-metrics
.
Unpublished manuscript. - The largest cartesian closed category of domains, considered constructively. Mathematical Structures in Computer Science 15, 299-321 (2005).
- A note on strongly finite sequent structures (with R. Greb). Domain Theory, Logic and Computation (Zhang, G.-Q. et al., eds.), 179-196. Kluwer, Dordrecht, 2003.
- Pre-coherence spaces with
approximation structure: a model for intuitinistic linear
logic which is not a model of classical linear logic
.
Draft. - On some
constructions in quantitative domain theory
. Extended
abstract. - Safe weak minimization revisited. SIAM J. Computing 31, 1542-1556 (2002).
- On the expressive power of
existential quantification in polynomial-time
computability
. Extended abstract of an talk given at
the Second International Workshop on IMPLICIT
COMPUTATIONAL COMPLEXITY (ICC 2000), Santa Barbara,
CA, June 29-30, 2000. - A new model construction for the polymorphic lambda calculus. Logic for Programming and Automated Reasoning, 7th Intern. Conf., LPAR 2000, Réunion Island, France, November 2000, Proc. (Parigot, M. et al., eds.), 275-292. Lec. Notes Artificial Intelligence 1955. Springer, Berlin 2000.
- On domains witnessing increase in information Applied General Topology 1, 129-152 (2000).
- On the equivalence of some approaches to computability on the real line (with H. Schulz). Domains and Processes, Proc. 1st Intern. Symp. on Domain Theory, Shanghai, China, 1999 (Keimel, K. et al., eds.). Kluwer, Boston, 2001, 67-101.
- Representations versus numberings: on the relationship of two computability notions. Theoretical Computer Science 263, 473-499 (2001). Revised version of an earlier paper.
- An effective stable domain
model of the calculus of constructions extended by strong
sums and recursive definitions
. Extended abstract of a
talk given at the International Symposium on Domain
Theory (ISDT'99), October 17-24, 1999, Shanghai,
China. - A new model construction
for various type systems
. Extended abstract of a talk
presented at the Workshop on Logic, Language,
Information and Computation, July 28-31, 1998, São
Paulo, Brazil. - Can partial indexings be totalized? The Journal of Symbolic Logic 6, 1157-1185 (2001).
- Finitely generated
rank-ordered sets as a model for Type:Type
. Unpublished
manuscript. - On functions preserving levels of approximations: a refined model construction for various lambda calculi. Theoretical Computer Science 212, 261-303 (1999); Corrigendum 266, 997-998 (2001).
- Representations versus numberings: on two computability notions. Combinatorics, Complexity, & Logic. (Bridges, D. S. et al., eds.), 387-401. Springer, Singapore, 1996.
- On effective topological spaces. The Journal of Symbolic Logic 63, 185-221 (1998); Corrigendum 65, 1917-1918 (2000).
- Effective inseparability in a topological setting. Annals of Pure and Applied Logic 80, 257-275 (1996).
- On some decision problems in programming. Information and Computation 122, 120-139 (1995); Corrigendum 148, 241-244 (1999).
Neuere Vorträge
- An intrinsic characterisation of
effective topologies
. Slides of a talk presented at the Workshop
Advances in Constructive Topology and Logical Foundations, Padua,
Italy, October 8-11, 2008.
- Solving Domain
Equations in the Category of Effectively Given Topological
Spaces.
Slides of a talk presented at the Workshop
on Constructivism-Logic and Mathematics, Kanazawa,
Japan, May 26-30, 2008. - Domains under
bitopological glasses.
Slides of a talk presented at
the 22nd Summer Conference on Topology and Its
Applications, Castellón, Spain, July 24-27, 2007. - Representing L-domains as
information systems.
Slides of a talk presented at the
workshop Logic and Information. From Logic to
Constructive Reasoning. Swiss-South African Joint
Seminar, Bern, Switzerland, January 25-27, 2007. - Effectivity and effective
continuity of multifunctions.
Slides of a talk
presented at the workshop Trends in Constructive
Mathematics, Frauenwörth, Chiemsee, Germany, June
19-23, 2006.



