This paper discusses extensions to the language Eiffel, required to write more comprehensive software specifications, where a specification in Eiffel is a collection of class interfaces with features specified using an assertion language (i.e. a BON static model). The focus of the paper is the extension of the assertion language with quantification. Two forms of quantification are identified, which are distinguished according to whether the quantified variable is of reference or expanded type. A semantics for each of the two forms is described, and the consequences for assertion checking at run-time considered
