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In generative syntax, a complement domain is a notion in checking theory. The complement domain is the subset of a domain reflexively dominated by a complement.
In the example, YP is the complement domain of X (and H).
XP1 /\ / \ UP XP2 /\ / \ ZP1 X' /\ /\ / \ / \ WP ZP2 X1 YP /\ / \ H X2