Objective The complexity of Constraint Satisfaction Problems (CSPs) has become a major common research focus of graph theory, artificial intelligence, and finite model theory. A recently discovered connection between the complexity of CSPs on finite domains to central problems in universal algebra led to additional activity in the area.The goal of this project is to extend the powerful techniques for constraint satisfaction to CSPs with infinite domains. The generalization of CSPs to infinite domains enhances dramatically the range of computational problems that can be analyzed with tools from constraint satisfaction complexity. Many problems from areas that have so far seen no interaction with constraint satisfaction complexity theory can be formulated using infinite domains (and not with finite domains), e.g. in phylogenetic reconstruction, temporal and spatial reasoning, computer algebra, and operations research. It turns out that the search for systematic complexity classification in infinite domain constraint satisfaction often leads to fundamental algorithmic results.The generalization of constraint satisfaction to infinite domains poses several mathematical challenges: To make the universal algebraic approach work for infinite domain constraint satisfaction we need fundamental concepts from model theory. Luckily, the new mathematical challenges come together with additional strong tools, such as Ramsey theory or results from model theory. The most important challgenges are of an algorithmic nature: finding efficient algorithms for significant constraint languages, but also finding natural classes of problems that can be solved by a given algorithm. Fields of science natural sciencescomputer and information sciencesartificial intelligencenatural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theory Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-SG-PE6 - ERC Starting Grant - Computer science and informatics Call for proposal ERC-2010-StG_20091028 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Host institution TECHNISCHE UNIVERSITAET DRESDEN EU contribution € 223 951,60 Address HELMHOLTZSTRASSE 10 01069 Dresden Germany See on map Region Sachsen Dresden Dresden, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Administrative Contact Bertram Skibinski (Mr.) Principal investigator Manuel Bodirsky (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all TECHNISCHE UNIVERSITAET DRESDEN Germany EU contribution € 223 951,60 Address HELMHOLTZSTRASSE 10 01069 Dresden See on map Region Sachsen Dresden Dresden, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Administrative Contact Bertram Skibinski (Mr.) Principal investigator Manuel Bodirsky (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Participation ended France EU contribution € 606 364,40 Address RUE MICHEL ANGE 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Administrative Contact Julie Zittel (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data