Complements and adjuncts are clause components which depend on another component which is their head. The distinction applies primarily to naked and cased noun phrases and adpositional phrases, secondarily to other kinds of syntagmas with the same distribution as these. It is based on grammatical properties of such dependents, viz.:

  1. the grammatical subcategory of the dependent (mass vs. count, ...)
  2. the syntactic function of the dependent (subject, direct object ...)
  3. the morphological marking associated with this syntactic function (case, adposition ...)
  4. the omissibility of the dependent (optional vs. obligatory).

A complement is a dependent whose grammatical properties are determined by its head.

An adjunct is a dependent whose grammatical properties are independent from its head.

As an example, consider the ambiguity of John decided on the boat: