Horn formulas, directed hypergraphs, lattices and closure systems: related formalisms and applications (Dagstuhl Seminar 14201)

This report documents the program and the outcomes of Dagstuhl Seminar 14201 "Horn formulas, directed hypergraphs, lattices and closure systems: related formalisms and applications". The seminar brought together researchers working in various areas of mathematics and computer science, mostly in algebra, logic, date base theory, artificial intelligence and data mining. A key objective of the seminar has been to bring together a critical mass of researchers and to provide a platform for personal contacts and scientific interchange between the different disciplines in an atmosphere that will stimulate collaboration and lead to new partnerships. The goal was to crystallize the main research directions and to disseminate challenging open problems across the different research areas