Exploring the Limits of Subadditive Approaches: Parallels between Optimization and Complexity Theory

抄録

In this paper, we review subadditive approaches which arise in the theory of mathematical programming and computational complexity. In particular, we explain the duality theorem of integer programming and techniques to prove formula-size lower bounds as fundamental subjects in mathematical programming and computational complexity, respectively. We discuss parallel visions of these two different areas by showing some connections between them.