The maximal linear extension theorem in second order arithmetic

Details The maximal linear extension theorem in second order arithmetic The maximal linear extension theorem in second order arithmetic

2010-09-08

arxiv.org/abs/1009.1528v2

Archive for Mathematical Logic, Volume 50 (2011), Numbers 5-6, 543-564

Mathematics

Logic

18 pages. New proof of the maximal chain theorem in ATR_0

Scientific paper

10.1007/s00153-011-0231-1

We show that the maximal linear extension theorem for well partial orders is
equivalent over RCA_0 to ATR_0. Analogously, the maximal chain theorem for well
partial orders is equivalent to ATR_0 over RCA_0.

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