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Nov 5, 2022 at 12:20 vote accept Doriano Brogioli
Nov 5, 2022 at 12:18 comment added Doriano Brogioli After the answer of Fedor Pakhomov, I proposed a slightly weaker version of Prop. 1 here : mathoverflow.net/questions/433954/… .
Nov 5, 2022 at 12:16 history edited Doriano Brogioli CC BY-SA 4.0
link to new question
Nov 4, 2022 at 14:32 answer added Fedor Pakhomov timeline score: 5
Nov 4, 2022 at 9:24 history edited Doriano Brogioli CC BY-SA 4.0
added 34 characters in body
Nov 4, 2022 at 9:23 comment added Doriano Brogioli Yes! The binary representations of $n$ and $m$ are part of the input. If we used the unary representation, Prop. 1 would become easy to prove. I will edit the question.
Nov 4, 2022 at 9:15 history edited YCor
edited tags
Nov 4, 2022 at 9:07 comment added Fedor Pakhomov When you talk about the polynomial dependency on $n$ and $m$ do you mean that they are represented as binary expansions and the algorithms are working in polynomial time of their lengths?
Nov 4, 2022 at 8:54 history edited Doriano Brogioli CC BY-SA 4.0
notation f^a
Nov 4, 2022 at 8:51 comment added Doriano Brogioli The expression $f^a$ means: $f$ applied $a$ times, like $f(f(f(...(x))))$. I will edit the question to clarify the notation.
Nov 4, 2022 at 6:34 comment added Emil Jeřábek What exactly do you mean by $h^a$ and $h^b$? Are they taken modulo something? Or how else do you make it a length-preserving function?
Nov 3, 2022 at 20:42 history asked Doriano Brogioli CC BY-SA 4.0