Least solutions of equations over N

  • Helmut Seidl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 820)


We consider the problem of computing the least solution X i , i=1,..., n, of a system of equations xi=fi, i=1,..., n, over N, i.e., the naturals (extended by ∞), where the right hand sides fi are expressions built up from constants and variables by operations taken from some set Ω. We present efficient algorithms for various subsets Ω of the operations minimum, maximum, addition and multiplication.


Abstract Interpretation Tree Automaton Ascend Chain Condition Random Access Machine Complete Partial Order 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Helmut Seidl
    • 1
  1. 1.Fachbereich InformatikUniversität des SaarlandesSaarbrückenGermany

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