Complement domain

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.

Example

In the example, YP is the complement domain of X (and H).

      XP1
      /\
     /  \
    UP  XP2
       /\
      /  \
    ZP1    X'
   /\      /\
  /  \    /  \
 WP  ZP2  X1  YP
         /\
        /  \
       H   X2

Link

Utrecht Lexicon of Linguistics