08/12/2007, 09:30 PM

bo198214 Wrote:I believe that you have a lot of good ideas, but actually I can not quite follow your explanations. Most of your formulas comes without any justifications nor proofs.Sorry, I thought it was implicit in the formula, but I've been looking at this for several days, so perhaps I just took it for granted:

That your formula

yields a proper tetration the resulting must at least satisfy the identities

andif satisfies them. Can you verify this first?

The base case is guaranteed by the definition of . If you run the formula and you don't get , then your constant needs to be adjusted.