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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Precise Fixpoint Computation Through Strategy Iteration
verfasst von : Thomas Gawlitza, Helmut Seidl
Erschienen in: Programming Languages and Systems
Verlag: Springer Berlin Heidelberg
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We present a practical algorithm for computing least solutions of systems of equations over the integers with addition, multiplication with positive constants, maximum and minimum. The algorithm is based on strategy iteration. Its run-time (w.r.t. the uniform cost measure) is independent of the sizes of occurring numbers. We apply our technique to solve systems of interval equations. In particular, we show how arbitrary intersections as well as full interval multiplication in interval equations can be dealt with precisely.