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In the first part of this contribution, we will present, as a starting point for the following discussions, a simple formal language P containing one stative predicate. We will then discuss, on an intuitive level, how a treatment of predicates of change could be conceived, and how the progressive could be rendered in a formal language.
We will then give a formal definition of a language, TP1, based on P, and we will construct a semantics for TP1, which incorporates the ideas discussed.
On valence-binding grammars
(1978)
The valence of a verb determines the number, and the syntactic class, of those expressions that must co-occur with it in a sentence. Definitions of "valence-term" and "valence-boundness" are provided whereby the precise conditions are formulated that a valence-binding grammar must satisfy. These conditions are exemplified in the framework of a simple categorial grammar, in which various reductions of the general notions can be carried out.