Martin's stratification:
genre, register, discourse semantics, lexicogrammar, phonology
Martin's cline of instantiation:
system, genre/register, text type, text, reading.
On this model,
(A)
(1) genre is simultaneously more abstract than register (in terms of stratification), and a sub-potential of register (in terms of the latter stratum's instantiation) — which is logically incoherent;
(2) register is simultaneously more abstract than discourse semantics (in terms of stratification) and a sub-potential of discourse semantics (in terms of the latter stratum's instantiation) — which is logically incoherent;
(B)
(1) genre is simultaneously a stratal system and a sub-potential of itself (in terms of that stratum's instantiation) — which is logically incoherent;
(2) register is simultaneously a stratal system and a sub-potential of itself (in terms of that stratum's instantiation) — which is logically incoherent;
etc …