Numerical Software Verification: 9th International Workshop, by Sergiy Bogomolov, Matthieu Martel, Pavithra Prabhakar

By Sergiy Bogomolov, Matthieu Martel, Pavithra Prabhakar

This booklet constitutes the refereed complaints of the ninth InternationalWorkshop on Numerical software program Verification, NSV 2016, held in Toronto, ON, Canada in July 2011 - colocated with CAV 2016, the twenty eighth foreign convention on desktop Aided Verification.

The NSV workshop is devoted to the improvement of logical and mathematical recommendations for the reasoning approximately programmability and reliability.

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Extra resources for Numerical Software Verification: 9th International Workshop, NSV 2016, Toronto, ON, Canada, July 17-18, 2016, Revised Selected Papers (Lecture Notes in Computer Science)

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Thus, we consider the following optimization problem: sup(x1 ,x2 )∈R x22 . 3094. 3094. Moreover, it seems that the maximum is reached in the cell X 3 and in the cell X 4 . A random property. 5y ≤ 6}. 5y. 2936. 2936. This results validates the property. Proving Properties on PWA Systems Using Copositive 4 29 Conclusion and Future Works The paper presents an implementable method to prove automatically that the reachable values set of a PWA is contained in an ellipsoid. In this case, to check the property is equivalent to solve a maximization problem.

In the above formalization, pi and zi are continuous complex functions. In the following sections, we present the formal analysis of two engineering systems namely z-source impedance network and PANDA Vernier resonator. , the branch between the nodes 10 and 5). Furthermore, the SFG of the zsource impedance network is directed, however, its transpose is undirected. 5 Z-Source Impedance Network The z-source is an impedance-source power converter that is considered to be more efficient than other commonly used power converters [19].

A perspective is to be able to compute an error bound on a given rounding, using only this given rounding. The formula will probably need to be modified, for example suppressing the addition when rounding towards +∞, negating twice the values when using rounding towards −∞. But this needs to be worked out in depth and formally proved to get correct algorithms. A harder perspective is to deal with radix 10. Then the multiplication should not be by 2−p , but by 5 × 10−p , and this multiplication is not always exact with big numbers, as was the case here with radix 2.

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