  The categorical compositional distributional model of Coecke, Sadrzadeh and
Clark provides a linguistically motivated procedure for computing the meaning
of a sentence as a function of the distributional meaning of the words therein.
The theoretical framework allows for reasoning about compositional aspects of
language and offers structural ways of studying the underlying relationships.
While the model so far has been applied on the level of syntactic structures, a
sentence can bring extra information conveyed in utterances via intonational
means. In the current paper we extend the framework in order to accommodate
this additional information, using Frobenius algebraic structures canonically
induced over the basis of finite-dimensional vector spaces. We detail the
theory, provide truth-theoretic and distributional semantics for meanings of
intonationally-marked utterances, and present justifications and extensive
examples.
