Back, R. J. R. (1992) Refinement Calculus, Lattices and Higher Order Logic. Computer Science Technical Reports, California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechCSTR:1992.cs-tr-92-22
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Abstract
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) | ||||
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| Additional Information: | © 1992 California Institute of Technology. I would like to thank Robert Barta, Ulla Binau, Marcel van de Groot, Peter Hofstee, Rustan Leino, Carroll Morgan, Jan van de Snepscheut and Joakim von Wright for very helpful discussions on the topics treated here. | ||||
| Group: | Computer Science Technical Reports | ||||
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| Series Name: | Computer Science Technical Reports | ||||
| DOI: | 10.7907/Z99021X8 | ||||
| Record Number: | CaltechCSTR:1992.cs-tr-92-22 | ||||
| Persistent URL: | https://resolver.caltech.edu/CaltechCSTR:1992.cs-tr-92-22 | ||||
| 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 | ||||
| Collection: | CaltechCSTR | ||||
| Deposited By: | Imported from CaltechCSTR | ||||
| Deposited On: | 25 Apr 2001 | ||||
| Last Modified: | 03 Oct 2019 03:17 |
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