Project description FET Open Show the project objective Hide the project objective We propose to developed libraries of formalized mathematics concerning linear algebra, real number computation, and algebraic topology. The main originality of this work will be to structure these libraries as a software development, relying on a basis that has already shown its power in the formal proof of the four color theorem, and to address topics that were mostly left untouched by previous research in formal proof or formal methods. The main milestones of this work will concern formally proved algorithms for solving problems in real arithmetics, solving problems in ordinary differential equations, or solving problems in algebraic topology. The success of this proposal will bring about a revolution in the way mathematicians can exploit computer-based calculations to advance their results.This research will also have an impact in all areas of software development where software is interacting with the real physical world. As a result, there should be a visible positive impact in the competitiveness of European industry.We have entered an era of mathematical proofs of extraordinary complexity that indicates a change in our understanding of mathematical reasoning. An example of such complex proofs is the four-color theorem. It involves computers in a crucial way. Can we trust such proofs? To address this problem, mathematicians and computer scientists have started research on formal proofs, and with interactive computer-based proof systems, researchers can verify algorithms whenever a complete mathematical specification is feasible. The goal of this project is to make formal proof verification available to domains that were hitherto beyond the reach of proof systems. Mathematics is already playing a crucial role in the design of sophisticated systems that are used daily, in geometrical modeling, robotics, ...This use of mathematics will increase, and correctness and reliable specification of these systems will become more and more important. Fields of science natural sciencesmathematicspure mathematicsalgebralinear algebranatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationsnatural sciencesmathematicspure mathematicstopologyalgebraic topology Programme(s) FP7-ICT - Specific Programme "Cooperation": Information and communication technologies Topic(s) ICT-2007.8.0 - FET Open Call for proposal FP7-ICT-2009-C See other projects for this call Funding Scheme CP - Collaborative project (generic) Coordinator GOETEBORGS UNIVERSITET EU contribution € 433 924,00 Address VASAPARKEN 405 30 Goeteborg Sweden See on map Region Södra Sverige Västsverige Västra Götalands län Activity type Higher or Secondary Education Establishments Administrative Contact Ludde Edgren (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Participants (3) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIVERSIDAD DE LA RIOJA Spain EU contribution € 204 480,00 Address AVENIDA DE LA PAZ 93 26006 La Rioja See on map Region Noreste La Rioja La Rioja Activity type Higher or Secondary Education Establishments Administrative Contact Milagros Torrecilla Miguel (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE France EU contribution € 680 487,00 Address DOMAINE DE VOLUCEAU ROCQUENCOURT 78153 Le Chesnay Cedex See on map Region Ile-de-France Ile-de-France Yvelines Activity type Research Organisations Administrative Contact Frédérique LAVIROTTE (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data STICHTING RADBOUD UNIVERSITEIT Netherlands EU contribution € 492 535,00 Address HOUTLAAN 4 6525 XZ Nijmegen See on map Region Oost-Nederland Gelderland Arnhem/Nijmegen Activity type Higher or Secondary Education Establishments Administrative Contact Marieke Van Oostveen (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data