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Precise Fixpoint Computation Through Strategy Iteration

  • Thomas Gawlitza
  • Helmut Seidl
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4421)

Abstract

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.

Keywords

Feasible Solution Complete Lattice Interval Analysis Full Multiplication Strategy Iteration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Thomas Gawlitza
    • 1
  • Helmut Seidl
    • 1
  1. 1.TU München, Institut für Informatik, I2, 85748 MünchenGermany

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