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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Reasoning Algebraically About P-Solvable Loops
verfasst von : Laura Kovács
Erschienen in: Tools and Algorithms for the Construction and Analysis of Systems
Verlag: Springer Berlin Heidelberg
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We present a method for generating polynomial invariants for a subfamily of imperative loops operating on numbers, called the P-solvable loops. The method uses algorithmic combinatorics and algebraic techniques. The approach is shown to be complete for some special cases. By completeness we mean that it generates a set of polynomial invariants from which, under additional assumptions, any polynomial invariant can be derived. These techniques are implemented in a new software package
Aligator
written in
Mathematica
and successfully tried on many programs implementing interesting algorithms working on numbers.