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Dear All,

 Jul8 comment Sum set fixpoint, how many iterations? Remark for the interested reader, if the lemma holds for sets S_i, it would also hold for integer intervals I_i, since an interval is only a special case of a set. Jul8 comment Sum set fixpoint, how many iterations? Maybe an alternate proof could use monotonicity of Minkowsky sum, i.e. A subset B implies A + C subset B + C. Not sure. But I am already happy to see the question settled. Jul8 comment Sum set fixpoint, how many iterations? Ok I guess the argument runs along the following for a x_i in S^0_i \ S^1_i there was anyway no (x_j)_j<>i, so when "deleting" x_i from S^0_i it will not reduce any of the S^0_j for j<>i. Jul8 comment Sum set fixpoint, how many iterations? Was also hypothesizing once that the fixpoint is reached after maximal 1 iteration. Did not yet have time to produce a counter example. What is exactly the argument behind S^2_i = S^1_i in the general case? Jul6 revised Sum set fixpoint, how many iterations? deleted 188 characters in body Jul6 comment Sum set fixpoint, how many iterations? It looks the problem can be reduced to y_1 + .. + y_n + b = 0, by using y_i = a_i * x_i. We can also find sets T_i with y_i in T_i, by T_i = a_i * S_i. And then ask for fixpoint of (T_1,..,T_n). Jul4 comment Sum set fixpoint, how many iterations? In the case of n=2 a simple geometric argument shows that l=<1 is sufficient. Right? But for n>2, is there also a fixed bound? Jul4 comment Sum set fixpoint, how many iterations? I thought it is the other way around by construction of the mapping, i.e. S_i^k+1 subset S_i^k. But otherwise I agree, this is the worst case. But is it possible that it happens? Jul4 revised Sum set fixpoint, how many iterations? deleted 9 characters in body Jul4 revised Sum set fixpoint, how many iterations? added 2 characters in body Jul4 revised Sum set fixpoint, how many iterations? edited tags Jul4 asked Sum set fixpoint, how many iterations? Jun19 accepted Sum set estimates for cofinite integer sets Jun19 revised Sum set estimates for cofinite integer sets added 2 characters in body Jun19 revised Sum set estimates for cofinite integer sets added 36 characters in body Jun19 asked Sum set estimates for cofinite integer sets Jun16 accepted Minimal bivariate diophantine equation solution space Jun16 asked Minimal bivariate diophantine equation solution space Mar19 revised Is there an intuitionistic proof of $\lnot p(a) \rightarrow p(b) \vdash \exists x p(x)$, what would Herbrand's Theorem say? added 868 characters in body Mar18 revised Contradiction Theorem deleted 157 characters in body