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A Recursive Approach to Solving Parity Games in Quasipolynomial Time

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 نشر من قبل Pawe{\\l} Parys
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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Zielonkas classic recursive algorithm for solving parity games is perhaps the simplest among the many existing parity game algorithms. However, its complexity is exponential, while currently the state-of-the-art algorithms have quasipolynomial complexity. Here, we present a modification of Zielonkas classic algorithm that brings its complexity down to $n^{mathcal{O}left(logleft(1+frac{d}{log n}right)right)}$, for parity games of size $n$ with $d$ priorities, in line with previous quasipolynomial-time solutions.

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