Bounded arithmetic, collection principle, weak pigeonhole principle. ## MSC (2000) 03F30 We show that for each n โฅ 1, if T n 2 does not prove the weak pigeonhole principle for ฮฃ b n functions, then the collection scheme Bฮฃ1 is not finitely axiomatizable over T n 2 . The same result holds with S n
โฆ LIBER โฆ
Note on a Proposed Addition to the Vocabulary of Ordinary Arithmetic1
โ Scribed by SYLVESTER, J. J.
- Book ID
- 109416000
- Publisher
- Nature Publishing Group
- Year
- 1887
- Tongue
- English
- Weight
- 235 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0028-0836
- DOI
- 10.1038/037152b0
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