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Titlebook: Static Analysis; 19th International S Antoine Miné,David Schmidt Conference proceedings 2012 Springer-Verlag Berlin Heidelberg 2012 complil

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Inference of Polynomial Invariants for Imperative Programs: A Farewell to Gröbner Bases backwards semantics, and computes pre-conditions for equalities like . = 0 to hold at the end of execution. A distinguishing feature of the technique is that it computes polynomial loop invariants without resorting to Gröbner base computations. The analysis uses remainder computations over paramete
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A New Abstract Domain for the Representation of Mathematically Equivalent Expressionsrs in numerical programs. Because the floating-point arithmetic is not intuitive, these errors are very difficult to detect and to correct by hand and we consider the problem of automatically synthesizing accurate formulas. We consider that a program would return an exact result if the computations
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Making Abstract Interpretation Incomplete: Modeling the Potency of Obfuscationation. In particular, it is well known that completeness corresponds to exactness of a given analysis for a fixed program semantics, hence incompleteness implies the imprecision of an analysis with respect to the program semantics. In code protection, if the analysis corresponds to attacker capabili
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When the Decreasing Sequence Failss a correct solution, then computing a decreasing sequence of correct solutions without widening. It is generally admitted that, when the decreasing sequence reaches a fixpoint, it cannot be improved further. As a consequence, all efforts for improving the precision of an analysis have been devoted
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Loop Leaping with Closuresop and proceeding in a bottom-up fashion considering one more loop at a time. Loop leaping contrasts with classical approaches to finding loop invariants that are iterative; loop leaping is compositional requiring each stratum in the nest of loops to be considered exactly once. The approach is attra
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