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  1. Journal of Systems Science and Complexity
  2. Journal of Systems Science and Complexity : Volume 26
  3. Journal of Systems Science and Complexity : Volume 26, Issue 3, June 2013
  4. On invariant checking
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Journal of Systems Science and Complexity : Volume 30
Journal of Systems Science and Complexity : Volume 29
Journal of Systems Science and Complexity : Volume 28
Journal of Systems Science and Complexity : Volume 27
Journal of Systems Science and Complexity : Volume 26
Journal of Systems Science and Complexity : Volume 26, Issue 6, December 2013
Journal of Systems Science and Complexity : Volume 26, Issue 5, October 2013
Journal of Systems Science and Complexity : Volume 26, Issue 4, August 2013
Journal of Systems Science and Complexity : Volume 26, Issue 3, June 2013
A pinned network of Euler-Bernoulli beams under feedback controls
A note on the nestedness property for ordered median problems in tree networks
Reachability/controllability of high order mix-valued logical networks
Some inverse optimization problems on network
Transport costs and China’s exports: Some empirical evidences
Explaining the changes in ALPs by identifying ALPs-important coefficients: An empirical application of China
Pricing and hedging problem of foreign currency option with higher borrowing rate
The impact of warrants introduction: Sign effect or magnitude effect?
A new approach to model financial markets
Semiparametric analysis of isotonic errors-in-variables regression models with randomly right censored response
Summation of absolute value test for multiple outcome comparison with moderate effect
On invariant checking
On nodal line of the second eigenfunction of the Laplacian over concave domains in ℝ$^{2}$
Journal of Systems Science and Complexity : Volume 26, Issue 2, April 2013
Journal of Systems Science and Complexity : Volume 26, Issue 1, February 2013
Journal of Systems Science and Complexity : Volume 25
Journal of Systems Science and Complexity : Volume 24
Journal of Systems Science and Complexity : Volume 23
Journal of Systems Science and Complexity : Volume 22
Journal of Systems Science and Complexity : Volume 21
Journal of Systems Science and Complexity : Volume 20
Journal of Systems Science and Complexity : Volume 19

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On invariant checking

Content Provider SpringerLink
Author Zhang, Zhihai Kapur, Deepak
Copyright Year 2013
Abstract Checking whether a given formula is an invariant at a given program location (especially, inside a loop) can be quite nontrivial even for simple loop programs, given that it is in general an undecidable property. This is especially the case if the given formula is not an inductive loop invariant, as most automated techniques can only check or generate inductive loop invariants. In this paper, conditions are identified on simple loops and formulas when this check can be performed automatically. A general theorem is proved which gives a necessary and sufficient condition for a formula to be an invariant under certain restrictions on a loop. As a byproduct of this analysis, a new kind of loop invariant inside the loop body, called inside-loop invariant, is proposed. Such an invariant is more general than an inductive loop invariant typically used in the Floyd-Hoare axiomatic approach to program verification. The use of such invariants for program debugging is explored; it is shown that such invariants can be more useful than traditional inductive loop invariants especially when one is interested in checking extreme/side conditions such as underflow, accessing array/collection data structures outside the range, divide by zero, etc.
Starting Page 470
Ending Page 482
Page Count 13
File Format PDF
ISSN 10096124
Journal Journal of Systems Science and Complexity
Volume Number 26
Issue Number 3
e-ISSN 15597067
Language English
Publisher Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Publisher Date 2013-06-28
Publisher Place Beijing
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Assertion Floyd-Hoare logic invariant invariant generation Systems Theory, Control Operations Research/Decision Theory Mathematics of Computing Statistical Physics, Dynamical Systems and Complexity Statistics
Content Type Text
Resource Type Article
Subject Information Systems
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