Intuitionistic provability versus uniform provability in RCA

Intuitionistic provability versus uniform provability in RCA
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RCA 中的直观可证明性与一致可证明性

DOI:
10.1007/978-3-319-20028-6_19
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发表时间:
2015
期刊:
Lecture Notes in Computer Science
影响因子:
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通讯作者:
Makoto Fujiwara
Makoto Fujiwara
中科院分区:
--
文献类型:
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作者:
坪井祐司;山本博之;山口元樹;野中葉;篠崎香織;Makoto Fujiwara and Ulrich Kohlenbach;Makoto Fujiwara and Takashi Sato;Makoto Fujiwara

文献摘要

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我们提供了一致可证明性的精确形式化,并证明对于某种句法形式的任何句子,当且仅当它一致可证明时,它才是直观可证明的。
We provide an exact formalization of uniform provability inand show that for anysentence of some syntactical form, it is intuitionistically provable if and only if it is uniformly provable in.