Conference paper Open Access

Synthesizing Invariants by Solving Solvable Loops

de Oliveira, Steven; Bensalem, Saddek; Prevosto, Virgile


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    <dct:title>Synthesizing Invariants by Solving Solvable Loops</dct:title>
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    <dcat:keyword>invariant generation</dcat:keyword>
    <dcat:keyword>linearization</dcat:keyword>
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    <dct:description>&lt;p&gt;Formal program verification faces two problems. The first&lt;br&gt; problem is related to the necessity of having automated solvers that are&lt;br&gt; powerful enough to decide whether a formula holds for a set of proof obli-&lt;br&gt; gations as large as possible, whereas the second manifests in the need of&lt;br&gt; finding sufficiently strong invariants to obtain correct proof obligations.&lt;br&gt; This paper focuses on the second problem and describes a new method&lt;br&gt; for the automatic generation of loop invariants that handles polynomial&lt;br&gt; and non deterministic assignments. This technique is based on the eigen-&lt;br&gt; vector generation for a given linear transformation and on the polynomial&lt;br&gt; optimization problem, which we implemented on top of the open-source&lt;br&gt; tool Pilat.&lt;br&gt;  &lt;/p&gt;</dct:description>
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    <dct:title>VERIFICATION ENGINEERING OF SAFETY AND SECURITY CRITICAL DYNAMIC INDUSTRIAL APPLICATIONS</dct:title>
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