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Polynomial Exact-3-SAT-Solving Algorithm

机译:多项式精确3-SAT求解算法

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This article describes an algorithm which is supposed by the author to be capable of solving any instance of a 3-SAT CNF in maximal O(n^15), whereby n is the variable index range within the 3-SAT CNF to solve. The presented algorithm imitates the proceeding of an exponential, fail-safe solver. This exponential solver stores internal data in m-SAT clauses, with 3 = m = n. The polynomial solver works similarly, but uses 3-SAT clauses only to save the same data. The paper explains how, and proves why this can be achieved. On the supposition the algorithm is correct, the P-NP-Problem would be solved with the result that the complexity classes NP and P are equal.
机译:本文介绍了一个算法,该算法由作者能够在最大O(n ^ 15)中求解3-SAT CNF的任何实例,由此N是用于解决3-SAT CNF内的可变索引范围。所提出的算法模仿指数,故障安全求解器的进行。该指数求解器将内部数据存储在M-SAT子句中,其中3 <= m <= n。多项式求解器类似地工作,但仅使用3-SAT子句来保存相同的数据。本文解释了如何,并证明为什么可以实现这一点。在假设算法是正确的情况下,P-NP问题将解决复杂性类NP和P等于的结果。

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