User blog comment:Boboris02/Breakthrough! Traditional OCF definition for TON/@comment-30754445-20180414193201/@comment-30118230-20180415085709

Yeah the problem is that my C can't be proven to be the same as Taranovsky's C in weak theories, but I think this need not be formally proven in some ridiculously strong theory since it has all the basic properties like built from below and standardness to it, just that it's all defined without the mention of the lexicographic ordering of strings.