Objective This is a project in the area of Theoretical Computer Science, particularly discrete algorithms and computational complexity. Many Constraint Satisfaction Problems (`CSPs') such as Boolean satisfiability or graph coloring are well-known to be NP-hard, i.e. the worst-case computation time to solve these problems is exponential in the size of the problem instance. To illuminate the conceptual origins of the computational hardness of these problems, a major research effort over the past 30 years has been the study of Random instances of CSPs. Over the past decade, motivated by problems in statistical mechanics, physicists have developed stunningly detailed hypotheses on the structural and conceptual nature of random CSPs, based on ingenious but highly non-rigorous techniques. These hypotheses have led to a new class of Message Passing Algorithms, as well as to evidence that certain natural types of random CSPs may be computationally intractable. The goal of this project is to study these ideas rigorously and comprehensively from the perspective of the theory of computing. Fields of science natural sciencescomputer and information sciencescomputational sciencenatural sciencesphysical sciencesclassical mechanicsstatistical mechanics 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-2011-StG_20101014 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Coordinator JOHANN WOLFGANG GOETHE-UNIVERSITAET FRANKFURT AM MAIN Address Theodor w adorno platz 1 60323 Frankfurt am main Germany See on map Region Hessen Darmstadt Frankfurt am Main, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Principal investigator Amin Coja-Oghlan (Prof.) Administrative Contact Kristina Wege (Ms.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all JOHANN WOLFGANG GOETHE-UNIVERSITAET FRANKFURT AM MAIN Germany EU contribution € 1 023 040,42 Address Theodor w adorno platz 1 60323 Frankfurt am main See on map Region Hessen Darmstadt Frankfurt am Main, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Principal investigator Amin Coja-Oghlan (Prof.) Administrative Contact Kristina Wege (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data THE UNIVERSITY OF WARWICK Participation ended United Kingdom EU contribution € 76 535,06 Address Kirby corner road - university house CV4 8UW Coventry See on map Region West Midlands (England) West Midlands Coventry Activity type Higher or Secondary Education Establishments Administrative Contact Peter Hedges (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data