DagRep.1.10.14.pdf
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Computing with Infinite Data: Topological and Logical Foundations (Dagstuhl Seminar 11411)
Authors and all authors of the abstracts in this report
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Issue:
Dagstuhl Reports, Volume 1, Issue 10
Volume: Dagstuhl Reports, Volume 1
Journal: Dagstuhl Reports (DagRep) - License:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
- Publication Date: 2012-01-18
Cite AsGet BibTex
Ulrich Berger, Vasco Brattka, Victor Selivanov, Dieter Spreen, and Hideki Tsuiki. Computing with Infinite Data: Topological and Logical Foundations (Dagstuhl Seminar 11411). In Dagstuhl Reports, Volume 1, Issue 10, pp. 14-36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)
https://doi.org/10.4230/DagRep.1.10.14
https://doi.org/10.4230/DagRep.1.10.14
Abstract
There is a large gap between mathematical structures and the structures computer implementations are based on. To stimulate research to overcome this---especially for infinitary structures---highly non-trivial problem the Dagstuhl Seminar 11411 ``Computing with Infinite Data: Topological and Logical Foundations'' was held. This report collects the ideas that were presented and discussed during the course of the seminar.
Keywords
- Exact real number computation
- Stream computation
- Infinite computations
- Computability in analysis
- Hierarchies
- Reducibility
- Topological complexity
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