Found:
Complement domain
SYNTAX: Notion in checking theory. The complement domain is the subset of a domain reflexively dominated by a complement. EXAMPLE: In (i), YP is the complement domain of X (and H).
(i) XP1 /\ / \ UP XP2 /\ / \ ZP1 X' /\ /\ / \ / \ WP ZP2 X1 YP /\ / \ H X2