NDLI: Invariant diagrams with data refinement

Content Provider	Springer Nature Link
Author	Preoteasa, Viorel Back, Ralph Johan
Copyright Year	2011
Abstract	Invariant based programming is an approach where we start to construct a program by first identifying the basic situations (pre- and post-conditions as well as invariants) that could arise during the execution of the algorithm. These situations are identified before any code is written. After that, we identify the transitions between the situations, which will give us the flow of control in the program. Data refinement is a technique of building correct programs working on concrete data structures as refinements of more abstract programs working on abstract data types. We study in this paper data refinement for invariant based programs and we apply it to the construction of the classical Deutsch–Schorr–Waite graph marking algorithm. Our results are formalized and mechanically proved in the Isabelle/HOL theorem prover.
Starting Page	67
Ending Page	95
Page Count	29
File Format	PDF
ISSN	09345043
Journal	Formal Aspects of Computing
Volume Number	24
Issue Number	1
e-ISSN	1433299X
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-08-21
Publisher Place	London
Access Restriction	Subscribed
Subject Keyword	Invariant based programming Data refinement Mechanical verification Graph marking Computational Mathematics and Numerical Analysis Theory of Computation Math Applications in Computer Science
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Software

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Invariant diagrams with data refinement