The consistency, the composition and the causality of the asynchronous flows

Let ϕ : {0,1}n → {0,1}n the asynchronous flows are (discrete time and real time) functions that result by iterating the coordinates ϕi  i ∈ {1,....,n} independently on each other. The purpose of the paper is that of showing that the asychronous flows fulfill the properties of consistency, composition and causality that define the dynamical systems. The origin of the problem consists in modeling the asynchronous circuits from the digital electrical engineering