Verifying while loops with invariant relations Online publication date:: Tue, 21-Oct-2014
by Asma Louhichi; Wided Ghardallou; Khaled Bsaies; Lamia Labed Jilani; Olfa Mraihi; Ali Mili
International Journal of Critical Computer-Based Systems (IJCCBS), Vol. 5, No. 1/2, 2014
Abstract: Traditionally, invariant assertions are used to verify the partial correctness of while loops with respect to pre/post specifications. In this paper we discuss a related but distinct concept, namely invariant relations, and show how invariant relations are a more potent tool in the analysis of while loops: whereas invariant assertions can only be used to prove partial correctness, invariant relations can be used to prove total correctness; also, whereas invariant assertions can only be used to prove correctness, invariant relations can be used to prove correctness and can also be used to prove incorrectness; finally, where traditional studies of loop termination equate termination with iterating a finite number of times, we broaden the definition of termination to also capture the condition that each individual iteration proceeds without raising an exception.
Online publication date:: Tue, 21-Oct-2014
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Critical Computer-Based Systems (IJCCBS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email email@example.com