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Refinement Calculus, Lattices and Higher Order Logic

Back, R.J.R. (1992) Refinement Calculus, Lattices and Higher Order Logic. California Institute of Technology . (Unpublished)

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We show how to describe refinement calculus in a lattice theoretic framework. The predicate transformer lattice is built by pointwise extensions from the truth value lattice. A simple but very powerful statement language characterizes the monotonic predicate transformer lattice. We show how to formalize the calculus in higher order logic. We also show how to express data refinement in this framework. A theorem of data refinement with stuttering is proved, to illustrate the algebraic nature of reasoning in this framework.

Item Type:Report or Paper (Technical Report)
Group:Computer Science Technical Reports
Record Number:CaltechCSTR:1992.cs-tr-92-22
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Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26761
Deposited By: Imported from CaltechCSTR
Deposited On:25 Apr 2001
Last Modified:26 Dec 2012 14:04

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