Before revision:  We further show how the k-set canalizing proportions connect the concept of canalization and the well-studied concept of the average sensitivity of a Boolean function  .
After revision:  We further show how the k-set canalizing proportions connect the concept of canalization and the well-studied concept of the average sensitivity of a Boolean function . The relationship between Boolean functions and the dynamics of the networks they form is important in a wide range of applications beyond biology, such as computer science, and has been studied with statistical and simulation-based methods. But the rich relationship between structure and dynamics remains largely unexplored, and this paper is intended as a contribution to its mathematical foundation .