Linear duality provides a correspondence between differentials on free tensor algebras and A-infinity algebras. Under this correspondence, what is the A-infinity counterpart of "stable, tame isomorphism" of dgas, a notion prevalent in Legendrian knot theory?

(I recall that "tame" refers to an automorphism which shifts a single generator by a combination of other generators -- or the composition thereof -- while "stable" means up to adding some pairs of generators a and b obeying da=b.)