Sixth International Conference on Computability and Complexity in Analysis
August 18-22, 2009, Ljubljana, Slovenia
Scope
The conference is concerned with the theory of computability
and complexity over real-valued data.
Computability and complexity theory are two central areas
of research in mathematical logic and theoretical computer
science. Computability theory is the study of the limitations
and abilities of computers in principle. Computational
complexity theory provides a framework for understanding the
cost of solving computational problems, as measured by the
requirement for resources such as time and space.
The classical approach in these areas is to consider
algorithms as operating on finite strings of symbols from a
finite alphabet. Such strings may represent various discrete
objects such as integers or algebraic expressions, but cannot
represent general real or complex numbers, unless they are
rounded.
Most mathematical models in physics and engineering, however,
are based on the real number concept. Thus, a computability
theory and a complexity theory over the real numbers and over
more general continuous data structures is needed. Despite
remarkable progress in recent years many important fundamental
problems have not yet been studied, and presumably numerous
unexpected and surprising results are waiting to be detected.
Scientists working in the area of computation on real-valued
data come from different fields, such as theoretical computer
science, domain theory, logic, constructive mathematics,
computer arithmetic, numerical mathematics and all branches
of analysis. The conference provides a unique opportunity for
people from such diverse areas to meet, present work in progress
and exchange ideas and knowledge.
The topics of interest include foundational work on various
models and approaches for describing computability and
complexity over the real numbers. They also include
complexity-theoretic investigations, both foundational and
with respect to concrete problems, and new implementations of
exact real arithmetic, as well as further developments of
already existing software packages. We hope to gain new
insights into computability-theoretic aspects of various
computational questions from physics and from other fields
involving computations over the real numbers.
Topics
Computable analysis
Complexity on real numbers
Constructive analysis
Domain theory and analysis
Theory of representations
Computable numbers, subsets and functions
Randomness and computable measure theory
Models of computability on real numbers
Realizability theory and analysis
Real number algorithms
Implementation of exact real number arithmetic
Invited Speakers
Mark Braverman (Cambridge, USA)
Vladik Kreinovich (El Paso, USA)
Dana Scott (Pittsburgh, USA)
Ning Zhong (Cincinnati, USA)
Tutorial Speaker
Martín Escardó (Birmingham, UK)
Bas Spitters and Russell O'Connor (Eindhoven, The Netherlands)
A technical report including the accepted papers will
be distributed at the conference. An electronic proceedings
volume will appear in the
DROPS
series of Schloss Dagstuhl.
It is planned to publish a special issue of some journal
dedicated to CCA 2009 after the conference.
Dates
New submission deadline: May 18, 2009 Notification of authors: June 15, 2009 Final version: July 13, 2009
CCA Steering Committee
Vasco Brattka, chair (Cape Town, South Africa),
Peter Hertling (Neubiberg, Germany),
Ker-I Ko (Stony Brook, USA),
Klaus Weihrauch (Hagen, Germany),
Ning Zhong (Cincinnati, USA)
Further Information
For further information, please contact
Ker-I Ko, PC co-chair
(for submissions)
Peter Hertling, PC co-chair
(for submissions)
Andrej Bauer, local organizer
(for local information)