(2008, 2011 formally prove that sequences of steps in the edgefactored GBDP (Eisner, 1996) can be used to emulate any individual step in the arc-hybrid system (Yamada and Matsumoto, 2003) and the Eisner and Satta (1999, Figure 1d) version.
they did not draw an explicitly direct connection between Eisner and Satta (1999) and TBDPs.