Schmerl decompositions in first order arithmetic

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Annals of Pure and Applied Logic 170 (12):102717 (2019)
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10.1016/j.apal.2019.102717

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Subsystems of Second Order Arithmetic.Stephen G. Simpson - 1999 - Studia Logica 77 (1):129-129.
Reverse Mathematics and Grundy colorings of graphs.James H. Schmerl - 2010 - Mathematical Logic Quarterly 56 (5):541-548.

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