Objective "This is a project in Computational Complexity. The project aims to answer the following question: How hard is it to find a good algorithm for a given computational problem?This question can be asked in several different settings, depending on what one means by ""algorithm"" (what is the computational model?), ""computational problem"" (is it a decision problem? a search problem? a communication problem?), and by ""good"" (do we want an algorithm that uses little time? little memory? few logical gates?). This question has a deep connection with the problem of proving lower-bounds, and in almost every setting where the question has been answered, either the answer was discovered while attempting to prove lower-bounds, or obtaining the answer required the development of new lower-bound methods. It is also known that several variants of the above question are equivalent to fundamental open questions in cryptography, pseudorandomness, and learning theory. The goal of this project is to answer this question in various settings where the answer is unknown: in circuit complexity, communication complexity, data structures, and algebraic models of computation. For each of these settings, we will either provide explicit methods for finding efficient algorithms, or show that the problem of finding such efficient algorithms is NP-hard." Fields of science natural sciencescomputer and information sciencescomputer securitycryptography Keywords HOFGA Programme(s) HORIZON.1.1 - European Research Council (ERC) Main Programme Topic(s) ERC-2021-STG - ERC STARTING GRANTS Call for proposal ERC-2021-STG See other projects for this call Funding Scheme HORIZON-ERC - HORIZON ERC Grants Coordinator FACULDADE DE CIENCIAS DA UNIVERSIDADE DE LISBOA Net EU contribution € 1 039 809,18 Address Campo grande c5 piso 3 1749-016 Lisboa Portugal See on map Region Continente Área Metropolitana de Lisboa Área Metropolitana de Lisboa Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Participants (2) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Third-party Legal entity other than a subcontractor which is affiliated or legally linked to a participant. The entity carries out work under the conditions laid down in the Grant Agreement, supplies goods or provides services for the action, but did not sign the Grant Agreement. A third party abides by the rules applicable to its related participant under the Grant Agreement with regard to eligibility of costs and control of expenditure. FCIENCIAS.ID - ASSOCIACAO PARA A INVESTIGACAO E DESENVOLVIMENTO DE CIENCIAS Portugal Net EU contribution € 458 854,82 Address Campo grande, edificio c1, piso 3 1749 016 Lisbon See on map Region Continente Área Metropolitana de Lisboa Área Metropolitana de Lisboa Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 UNIVERSIDADE DO PORTO Participation ended Portugal Net EU contribution € 0,00 Address Praca gomes teixeira 4099-002 Porto See on map Region Continente Norte Área Metropolitana do Porto Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
