Being and Change: Reasoning About Invariance

We introduce a new way of reasoning about invariance in terms of foot-prints in a Hoare logic for recursive programs with (unbounded) arrays. A foot-print of a statement is a predicate that describes that part of the state that can be changed by the statement. We define invariance of an assertion wi...

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Bibliographic Details
Published inCorrect System Design pp. 191 - 204
Main Authors de Boer, Frank S., de Gouw, Stijn
Format Book Chapter
LanguageEnglish
Published Cham Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Adaptation Rule
Array Variable
Correctness Formula
Invariant Property
Separation Logic
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Summary:We introduce a new way of reasoning about invariance in terms of foot-prints in a Hoare logic for recursive programs with (unbounded) arrays. A foot-print of a statement is a predicate that describes that part of the state that can be changed by the statement. We define invariance of an assertion with respect to a foot-print by means of a logical operation. This new Hoare logic is applied in a new simpler and modular proof of correctness of the well-known Quicksort sorting algorithm.
ISBN:9783319235059
3319235052
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-319-23506-6_13