Computing sampling points in a semi-algebraic set defined by non-strict inequalities, application to Pattern-Matching Problems

نویسندگان

  • Colas Le Guernic
  • Fabrice Rouillier
  • Mohab Safey El Din
چکیده

We focus on the problem of computing sampling points in a semi-algebraic set defined by equations and non-strict inequalities. This problem is reduced to computing sampling points in several real algebraic varieties, represent these points by rational parametrizations and decide the sign of some polynomials at the real solutions of these parametrizations. We show how these tasks can be deduced from existing algorithms and proceed to a complexity analysis. Then, we study a pattern-matching problems and show how our implementation can solve some instances of these problems.

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تاریخ انتشار 2004