A Calculus of Re nements : its class of models

نویسندگان

  • Francesc Esteva
  • Jordi Levy
چکیده

The Calculus of Reenements (COR) presented here takes this idea of types as spec-iications and subtyping as reenement and pushes it to an extreme. Types and values are no longer distinguished; in COR we consider a unique hierarchy of objects. A good way to deal with the hierarchy of objects is to structure it as a complete lattice. And if functions are to be considered as rst class citizens in the hierarchy then the lattice must be reeexive: it must have the space of functions (some of them) as a sublattice. To represent reeexive lattices, the most simple language is an extension of the-calculus with lattice operators: this is the language of COR. The aim of this communication is to show that the results about the soundness and the completeness of-calculus can be extended without problems to COR.

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تاریخ انتشار 1992