The research in Coquand's area stretches back over 100 years, when the philosopher and mathematician Bertrand Russell coined the concept of 'types' in an effort to solve a number of mathematical problems. Thus, the concept was originally developed in response to entirely internal problems within the field of foundation of mathematics.
The so-called type theory became the most precise formulation of logic, and eventually came to also include links between mathematical proofs and computer programmes. Today, the concept of types plays an important role in the context of different programming languages for example. Type theory is also used within fields such as linguistics and language technology, since a 'type' serves as a carrier of meaning and also facilitates correct grammar in translations. Coquand has been involved in the research project TYPES ever since it was started in the late 1980s.
Alan Turing, one of the founders of computer science, is another person who has played a critical role in the evolution of the research area. Around 1930, Turing solved Hilbert's "Entscheidungsproblem" (decision problem) by providing a rigorous definition of the mathematical concept of algorithm. While this may sound very abstract and inaccessible, Turing's definition of algorithms actually laid the foundation for digital computing as we know it. His definition has also had an enormous impact on how problems are solved in computer science.
Thierry Coquand's ERC grant is intended to push his research a step further on the path started by Bertrand Russel and Alan Turing.
'My work is a continuation of the work of Russell and Turing, and it deals mainly with a new way of connecting mathematical reasoning and algorithms, coming from more recent research in type theory' says Coquand.'But when it comes to future areas of application, I'd like to point out that the field may set off in a direction that's entirely different than we once thought. Nevertheless, the theoretical issues are extremely interesting to work with and solve, regardless of in what context the results will be applied.'
The ERC grant is, unlike other EU grants, open to individual researchers. It does not require applicants to be part of a network. Grants are available in all areas of science, and cross-disciplinary applications are encouraged. The sole criterion is scientific excellence. (Source: The Swedish Research Council)
Helena Aaberg | idw
Scientist at Kiel University receive EU funding to develop new implantats
22.11.2017 | Christian-Albrechts-Universität zu Kiel
Tracking down the origins of gold
08.11.2017 | Heidelberger Institut für Theoretische Studien gGmbH
High-precision measurement of the g-factor eleven times more precise than before / Results indicate a strong similarity between protons and antiprotons
The magnetic moment of an individual proton is inconceivably small, but can still be quantified. The basis for undertaking this measurement was laid over ten...
Heat from the friction of rocks caused by tidal forces could be the “engine” for the hydrothermal activity on Saturn's moon Enceladus. This presupposes that...
The WHO reports an estimated 429,000 malaria deaths each year. The disease mostly affects tropical and subtropical regions and in particular the African continent. The Fraunhofer Institute for Silicate Research ISC teamed up with the Fraunhofer Institute for Molecular Biology and Applied Ecology IME and the Institute of Tropical Medicine at the University of Tübingen for a new test method to detect malaria parasites in blood. The idea of the research project “NanoFRET” is to develop a highly sensitive and reliable rapid diagnostic test so that patient treatment can begin as early as possible.
Malaria is caused by parasites transmitted by mosquito bite. The most dangerous form of malaria is malaria tropica. Left untreated, it is fatal in most cases....
The formation of stars in distant galaxies is still largely unexplored. For the first time, astron-omers at the University of Geneva have now been able to closely observe a star system six billion light-years away. In doing so, they are confirming earlier simulations made by the University of Zurich. One special effect is made possible by the multiple reflections of images that run through the cosmos like a snake.
Today, astronomers have a pretty accurate idea of how stars were formed in the recent cosmic past. But do these laws also apply to older galaxies? For around a...
Just because someone is smart and well-motivated doesn't mean he or she can learn the visual skills needed to excel at tasks like matching fingerprints, interpreting medical X-rays, keeping track of aircraft on radar displays or forensic face matching.
That is the implication of a new study which shows for the first time that there is a broad range of differences in people's visual ability and that these...
15.11.2017 | Event News
15.11.2017 | Event News
30.10.2017 | Event News
24.11.2017 | Physics and Astronomy
24.11.2017 | Health and Medicine
24.11.2017 | Earth Sciences