Propositional proof systems, the consistency of first order theories and the complexity of computations

Propositional proof systems, the consistency of first order theories and the complexity of computations
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DOI:
10.2307/2274765
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发表时间:
1989-09
影响因子:
0.6
通讯作者:
J. Krajícek;P. Pudlák
J. Krajícek;P. Pudlák
中科院分区:
数学3区
文献类型:
--
作者:
J. Krajícek;P. Pudlák

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本文研究了长度小于n的S中没有矛盾证明的句子的证明长度问题。我们展示了这个问题与有关命题证明系统的一些问题的关系。
Abstract We consider the problem about the length of proofs of the sentences saying that there is no proof of contradiction in S whose length is < n. We show the relation of this problem to some problems about propositional proof systems.