KAKENHI(S) Discrete Structure Manipulation System Project (Hokkaido Univ.)

Discrete structures are foundational material for computer science and mathematics. Many problems solved by computers can be decomposed into discrete structures using simple primitive algebraic operations. It is very important how to represent large-scale discrete structural data and to execute their operations efficiently. The project leader has been leading "JST ERATO Minato Discrete Structure Manipulation System Project" for six years. In this project, he has studied discrete structure manipulation systems using Zero-suppressed Binary Decision Diagrams (ZDDs) and their practical applications. As the results of the project, they developed novel techniques for enumerating, compressing and indexing large-scale data based on ZDDs, and they are very effective for real-life problems. Many researchers are now interested in these techniques, and several number of related research projects has been started. This research project focus on the core algorithms of discrete structure manipulation, and we will continue to maintain a firm research community in the center of the other related research projects.