Being and Change: Reasoning About Invariance

Frank S. de Boer; Stijn de Gouw

doi:10.1007/978-3-319-23506-6_13

Being and Change: Reasoning About Invariance

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

Abstract

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.

Original language	English
Title of host publication	Correct System Design
Subtitle of host publication	Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings
Editors	Roland Meyer , André Platzer , Heike Wehrheim
Place of Publication	Cham
Publisher	Springer
Pages	191-204
Number of pages	14
Edition	1
ISBN (Electronic)	978-3-319-23506-6
ISBN (Print)	978-3-319-23505-9
DOIs	https://doi.org/10.1007/978-3-319-23506-6_13
Publication status	Published - 2015
Externally published	Yes

Publication series

Series	Lecture Notes in Computer Science
Volume	9360
ISSN	0302-9743

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10.1007/978-3-319-23506-6_13

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Boer, F. S. D., & Gouw, S. D. (2015). Being and Change: Reasoning About Invariance. In R. M., A. P., & H. W. (Eds.), Correct System Design: Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings (1 ed., pp. 191-204). Springer. Lecture Notes in Computer Science Vol. 9360 https://doi.org/10.1007/978-3-319-23506-6_13

Boer, Frank S. de ; Gouw, Stijn de. / Being and Change : Reasoning About Invariance. Correct System Design: Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings. editor / Roland Meyer ; André Platzer ; Heike Wehrheim. 1. ed. Cham : Springer, 2015. pp. 191-204 (Lecture Notes in Computer Science, Vol. 9360).

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abstract = "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.",

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doi = "10.1007/978-3-319-23506-6_13",

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Boer, FSD & Gouw, SD 2015, Being and Change: Reasoning About Invariance. in RM, AP & HW (eds), Correct System Design: Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings. 1 edn, Springer, Cham, Lecture Notes in Computer Science, vol. 9360, pp. 191-204. https://doi.org/10.1007/978-3-319-23506-6_13

Being and Change : Reasoning About Invariance. / Boer, Frank S. de; Gouw, Stijn de.

Correct System Design: Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings. ed. / Roland Meyer; André Platzer; Heike Wehrheim. 1. ed. Cham : Springer, 2015. p. 191-204 (Lecture Notes in Computer Science, Vol. 9360).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

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AB - 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.

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Boer FSD, Gouw SD. Being and Change: Reasoning About Invariance. In RM, AP, HW, editors, Correct System Design: Symposium in Honor of Ernst-Rüdiger Olderog on the Occasion of His 60th Birthday, Oldenburg, Germany, September 8-9, 2015, Proceedings. 1 ed. Cham: Springer. 2015. p. 191-204. (Lecture Notes in Computer Science, Vol. 9360). https://doi.org/10.1007/978-3-319-23506-6_13

Being and Change: Reasoning About Invariance

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