A self-timed implementation of Boolean functions

In this paper, we discuss Three-Rail coded 2-phase signaling self-timed implementation of Boolean functions by feedback-free gate networks. Delays in operating Three-Rail gates and signals associated with inputs and outputs of gates are assumed to be arbitrary but finite. We implement some Three-Rail gates by binary Boolean gates. In implemented Three-Rail gates we assume isochronic forks or equipotential regions. We show that Three-Rail gates are the smallest gates, such that the feedback-free gate networks are self-timed under 2-phase protocol. Designing Three-Rail feedback-free gate networks is as hard as designing corresponding synchronous feedback-free gate networks.