On Intersection Problems for Polynomially Generated Sets

  • Wong Karianto
  • Aloys Krieg
  • Wolfgang Thomas
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4052)


Some classes of sets of vectors of natural numbers are introduced as generalizations of the semi-linear sets, among them the ‘simple semi-polynomial sets.’ Motivated by verification problems that involve arithmetical constraints, we show results on the intersection of such generalized sets with semi-linear sets, singling out cases where the non-emptiness of intersection is decidable. Starting from these initial results, we list some problems on solvability of arithmetical constraints beyond the semi-linear ones.


Quadratic Equation Polynomially Generate Intersection Problem Acceptance Condition Pushdown Automaton 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Wong Karianto
    • 1
  • Aloys Krieg
    • 2
  • Wolfgang Thomas
    • 1
  1. 1.Lehrstuhl für Informatik 7RWTH AachenGermany
  2. 2.Lehrstuhl A für MathematikRWTH AachenGermany

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