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welcome to this meow seminar combinatorial solving with provably correct results so we have a trio of speakers today and before starting the seminar well just uh quickly introduce ourselves hi Im uh bardogart from the Freya University at Bristol Im interested in how logic is used in computer science to solve various types of problems Im Kieran mccrish from the University of Glasgow Im interested in constraint programming and finding little graphs inside big graphs and Im Jacob Nordstrom at the University of Copenhagen and Lund University Ive been working on computational complexity in particular computational complexity of combinatorial problems and thats the topic that brings us here today the revolution that weve seen since the turn of the Millennium in uh combinatorial solvers for problems such as Boolean satisfiability sat constraint programming mixed into your linear programming despite our best efforts at uh as complexity theorists as proving and that these problems are