Uniform versions of some axioms of secon
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Nobuyuki Sakamoto; Takeshi Yamazaki
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Article
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2004
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John Wiley and Sons
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English
β 132 KB
## Abstract In this paper, we discuss uniform versions of some axioms of second order arithmetic in the context of higher order arithmetic. We prove that uniform versions of weak weak KΓΆnig's lemma WWKL and Ξ£^0^~1~ separation are equivalent to (β^2^) over a suitable base theory of higher order arit