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WE COMPLETE ALGORITHM FOR AUTOMATED THEOREM PROVING
几何定理机器证明的WE完全方法

Keywords: Ascending chain,Wu's division,Euclid's algorithm
机器证明,完全方法,辗转伪除法

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Abstract:

In this paper, we propose an algorithm, which need not do decomposition of an algebraic set into the union of its irreducible varieties, to overcome the so-called "reducibility difficulty" in automated theorem proving. Employing Wu's division and Euclid's algorithm, we call it WE algorithm.

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