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This paper formalizes an incremental approach to design flow-control oriented hardware devices described by Moore machines. The method is based on successive additions of new behaviors to a simple device in order to build a more complex one. The new behaviors added must not override the previous ones. A set of CTL formulae is assigned to each step of the design. The links between the formulae of two consecutive design steps are formalized as a set of formula-transformations F , stating that : adoi:10.1016/j.entcs.2005.04.016 fatcat:pk7srk3g7rdhrnfmm5uqfyvq4a