Twenty-First International Conference on Computability and Complexity in Analysis

July 15-18, 2024, Swansea, UK

SwanseaCampus


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
  • Computable numbers, subsets and functions
  • Theory of representations
  • Computable differential equations
  • Randomness and computable measure theory
  • Algorithmic fractal dimension
  • Effective descriptive set theory
  • Weihrauch complexity
  • Reverse analysis
  • Constructive analysis
  • Domain theory and analysis
  • Realizability theory and analysis
  • Models of computability on real numbers
  • Real number algorithms
  • Exact real number arithmetic

Invited Speakers

Scientific Programme Committee

Organizing Committee

Schedule in British Summer Time (BST)


Abstracts and Slides

Extended abstracts of the invited and contributed presentations and some slides of CCA 2024 can be found here:

Conference Picture

This group picture of CCA 2024 shows some participants:

CCA 2024 Group Picture

Registration

You can register for CCA 2024 (and pay the registration fee) on the following web page: The registration fee for regular participants is GBP 150. The registration fee for student participants is GBP 100. Invited speakers do not need to register. The registration fee covers lunches, coffee breaks, and the excursion. There will be a conference dinner which is not included in the fee.

Funding and Sponsoring

  • Funding opportunities for student members of the Association for Symbolic Logic (ASL) are available. Applications should be directed to the Association for Symbolic Logic three months prior to the meeting, following these instructions.
  • We gratefully acknowledge support from the British Logic Colloquium and the Heilbronn Small Grants Scheme, funded by the EPSRC Additional Funding Programme for Mathematical Sciences.
  • Thanks to generous support from the Heilbronn Small Grants Scheme, we are able to offer travel funding for a student or early career researcher from an underrepresented group. We can provide a total of GBP 250, to be used towards travel costs. The funding will be awarded to eligible candidates on a first-come-first-served-basis, with priority given to participants who give a talk at the conference. To apply, please send an email to the chair of the organising committe, Eike Neumann stating that you wish to apply for the travel funding.
ASL
HIMR
EPSRC

Submissions

Authors are invited to submit 1-2 pages abstracts in PDF format, including references via the following web page: If full versions of papers are already available as technical report or arXiv version, then corresponding links should be added to the reference list. Final versions of abstracts might be distributed to participants in hardcopy and/or in electronic form.

Dates

Venue

The conference will be hosted in Swansea University Bay Campus in the computational foundry building (there are two campuses on opposite sides of the city; you want the eastern one, you do not want Singleton Campus). We will likely have all the sessions in the Robert Recorde room (102, first floor).

Commuting

Local buses take cash and card (contactless only). You either want a day ticket or a single ticket (there is no middle ground). Do not take buses to Swansea University (that's the other campus, you want Bay Campus).

The direct services that are best to get to campus are the X1, X5, X7, 38 and 90 operated by First Cymru. Those services start from the central bus station (near the southward gates) but go through stops closer to many popular hotels (Sainsbury's (quay parade), cape Horner and the old police station stops). On the bus, once you see a wind turbine through the coast-facing window, you want to get off at the next stop.

Travel time is roughly 15min from the central bus station. It is likely you want to get the bus at some point between 9 and 9:30 if you're departing from there. Only the 9[0-2] buses will go into the campus, the others will stop on the other side of the motorway. On your way back, note there are two bus stops: one on-campus next to the venue, and one on the main road. All services going through those will lead you back to the city center through quay parade. Services do stop running rather early (most before 18:30, the last reasonable one is around 19:15). Symmetrically, only the 9[0-2] services will start on-campus, others only go through the stop on the main road.

Alternative services that work are the T6 (which has the same route, but is operated by a different company - so tickets on this service are not compatible with any others and vice-versa) and the 91 (which also departs from the central bus station but adopts a different route (20min) that also stops at the train station). The 84 might also be reasonable, but uses different stops.

Another option is biking. There is a bike rental service run by Santander with stations on campus and near the waterfront in town, but whether that is reliable is unknown.
Walking from city center takes a small hour and is generally considered not particularly fun (section along the motorway).

CCA Steering Committee

Vasco Brattka, chair (Munich, Germany and Cape Town, South Africa), Peter Hertling (Munich, Germany), Akitoshi Kawamura (Kyoto, Japan), Klaus Weihrauch (Hagen, Germany), Ning Zhong (Cincinnati, USA), Martin Ziegler (Daejeon, Republic of Korea)

Further Information

For further information, please contact