Vector models of language are based on the contextual aspects of words
and how they co-occur in text. Truth conditional models focus on the
logical aspects of language, the denotations of phrases, and their
compositional properties. In the latter approach the denotation of a
sentence determines its truth conditions and can be taken to be a
truth value, a set of possible worlds, a context change
potential, or similar. In this short paper, we develop a vector
semantics for language based on the simply typed lambda calculus. Our
semantics uses techniques familiar from the truth conditional tradition
and is based on a form of dynamic interpretation inspired by
Heim's context updates
