Compositionality is a principle in semantics that says that the meaning of a complex expression is a function of the meanings of its parts and its mode of composition. This principle has played a central role in linguistics and philosophy of language, and its correctness and importance is still a matter of dispute. Nevertheless, the understanding of what compositionality really amounts to is limited. The purpose of the new project is twofold: a) to extend earlier research on compositionality into new applications, and b) to revise earlier research and presentations in the light of the new research and combine it all into a monograph on compositionality. The new research concerns six areas:

i) The history of concepts of compositionality, fromantiquity onwards.

ii) The application of compositionality in logic, in particular the method of achieving compositionality by abstraction in non-classical logics such as IF Logic and Dependence Logic.

iii) In connection with ii), an application to QuantumMechanics of the method of abstraction, possibly leading to new interpretations.

iv) The uniform application of compositionality across different grammatical frameworks, especially some that lack explicit constituent structure.

v) The status of compositionality in dynamic semantics for natural language, and the nature of compositional dynamic meaning.

vi) The phenomenon of presupposition projection in natural language semantics in the light of a general framework for compositionality.