Is Adjunction Compositional?

The idea of adjunction can be traced back to the beginnings of generative syntax. Already Zellig Harris used adjunction and in [Harris, 1979] even exposes the idea that sentence meanings can be derived from kernel sentences via adjunction. Today, TAGs and the somewhat lesser known contextual grammars ([Marcus, 1967]) still use adjunction as a major syntactic operation. Recently, [Kallmeyer and Joshi, 2003] have provided a semantics for TAGs they claim to be compositional. However, this semantics contains a partial record of the derivation, thus adding detail that is of no semantic relevance.