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<p>The authors present three algorithms for solving linear constraint systems with integer coefficients over the set {0, 1}. The first algorithm has an exponential time complexity estimate, but is parallelizable. The second algorithm finds solutions by reducing the problem of solving the system of constraints to solving a single linear equation. The third algorithm is a parallel combination of the first and second algorithms. The paper also provides experimental results of the implemented algorithms.</p>

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Algorithms for Solving Linear Constraints Over the Set {0, 1}

  • 期刊论文

  • 发表日期：

    2025年11月28日

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  • S. L. Kryvyi,
  • O. V. Chugaenko,
  • S. M. Krasnitskiy

摘要

The authors present three algorithms for solving linear constraint systems with integer coefficients over the set {0, 1}. The first algorithm has an exponential time complexity estimate, but is parallelizable. The second algorithm finds solutions by reducing the problem of solving the system of constraints to solving a single linear equation. The third algorithm is a parallel combination of the first and second algorithms. The paper also provides experimental results of the implemented algorithms.