Defines an ω-ary strictly monotone operation on ordinals and characterizes it as the rank of sequences in a well-founded order and as a mixed sum of the ordinals under boundedness restrictions.
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Monotone infinitary operations on ordinals (extended version)
Defines an ω-ary strictly monotone operation on ordinals and characterizes it as the rank of sequences in a well-founded order and as a mixed sum of the ordinals under boundedness restrictions.