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
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.
The conference CCA 2018 is preceded by the conference Computability in Europe (CiE 2018) that takes place in Kiel, in the north of Germany, from July 30 to August 3, 2018.
The conference takes place at the
Georg-von-Vollmar AcademyKochel am See is beautifully located at Lake Kochel at the edge of the Bavarian Alps, approximately 70 km south of Munich, from where it can easily be reached by train (see below).
Accommodation for a number of participants of the conference will be available at the Georg-von-Vollmar Academy for a reasonable daily rate.
Depending on how you plan to arrive in Kochel, we recommend travelling via the
railway web page, where you can also book tickets electronically in advance!|
The Georg-von-Vollmar Academy can be reached from the train station Kochel by taxi (approximately 5 minutes, you might have to order it in advance:
Phone +49 8851 1315) or
by feet (approximately 17 minutes). However, you need to walk slightly up the hill (50 meters).
We anticipate that the conference starts on Sunday, 5 August in the early afternoon and ends on Wednesday, August 8 in the afternoon.
We recommend choosing your travelling times accordingly.