https://www.dagstuhl.de/99461

November 14 – 19 , 1999, Dagstuhl Seminar 99461

Computability and Complexity in Analysis

Organizer

Ker-I Ko (Stony Brook), A. Nerode (Ithaka), K. Weihrauch (Hagen)

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Documents

Dagstuhl's Impact: Documents available
External Homepage
Dagstuhl-Seminar-Report 259

Already for a long time physicists, engineers, mathematicians and other scientists are spending large amounts of computing resources on computations over the real numbers. So far computer scientists deal mainly with computations over discrete, countable structures. But increasingly they too are confronted with problems involving real numbers and continuous structures (for example the complexity theoretic analysis of numerical problems, modeling of continuous or partially continuous signals and processes, hybrid systems, computation problems connected with dynamical systems, computational geometry). In order to deal with these problems one has to find effective analogues of results in classical analysis, to classify problems in the framework of computability theory, and to analyze their complexity. It also still requires a careful discussion of suitable models and work on the foundations of computability over the real numbers.

In this seminar the emphasis will be put on computable analysis which was initiated by Turing and Grzegorczyk and which is based on the Turing machine model.

Dagstuhl Seminar Series

Documentation

In the series Dagstuhl Reports each Dagstuhl Seminar and Dagstuhl Perspectives Workshop is documented. The seminar organizers, in cooperation with the collector, prepare a report that includes contributions from the participants' talks together with a summary of the seminar.

 

Download overview leaflet (PDF).

Publications

Furthermore, a comprehensive peer-reviewed collection of research papers can be published in the series Dagstuhl Follow-Ups.

Dagstuhl's Impact

Please inform us when a publication was published as a result from your seminar. These publications are listed in the category Dagstuhl's Impact and are presented on a special shelf on the ground floor of the library.