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@CoolRmal CoolRmal commented Jan 6, 2026

Closes #389

Some remarks:

  1. In the paper [ESS94] On Sum Sets of Sidon Sets, the authors formulate this conjecture by using limit, which will be equivalent to the formulation on the website. The limit formulation is easier to formalize and this is why I defined the function f. This definition of f also makes it easier to talk about the growth rate.
  2. For the conjecture related to infinite Sidon sets, one needs the results in the PR feat: functions of elementary growth #1481, so I left it as a TODO.
Screenshot 2026-01-06 at 1 40 26 AM

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Thanks, looks good
Please use latex markdown for the docstrings!

@mo271 mo271 added the erdos-problems Erdős Problems label Jan 6, 2026
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Thanks!

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mo271 commented Jan 6, 2026

  1. For the conjecture related to infinite Sidon sets, one needs the results in the PR feat: functions of elementary growth #1481, so I left it as a TODO.

Perhaps actually add a TODO in the file, so it is not forgotten

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There already is a TODO

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mo271 commented Jan 6, 2026

Ah, great, I just didn't see it at the top of the file (because I usually put it at the bottom), now I see it...

@YaelDillies YaelDillies added the awaiting-author The author should answer a question or perform changes. Reply when done. label Jan 6, 2026
Co-authored-by: Moritz Firsching <firsching@google.com>
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CoolRmal commented Jan 6, 2026

@mo271 Is it a convention to use $$ instead of backticks in this repository? I am always using backticks in all my PRs to this repo, but I am happy to change it.

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You should use $$ for latex and ` for lean. Whether you write the docstring in latex or in Lean depends on how far the formal and informal statements are

@YaelDillies YaelDillies removed the awaiting-author The author should answer a question or perform changes. Reply when done. label Jan 6, 2026
@YaelDillies YaelDillies enabled auto-merge (squash) January 6, 2026 17:55
@YaelDillies YaelDillies merged commit 0712197 into google-deepmind:main Jan 6, 2026
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@CoolRmal CoolRmal deleted the Erdos152 branch January 6, 2026 22:55
jdhruv555 pushed a commit to jdhruv555/formal-conjectures that referenced this pull request Jan 7, 2026
Closes google-deepmind#389

Some remarks:

1. In the paper [ESS94] On Sum Sets of Sidon Sets, the authors formulate
this conjecture by using limit, which will be equivalent to the
formulation on the website. The limit formulation is easier to formalize
and this is why I defined the function `f`. This definition of `f` also
makes it easier to talk about the growth rate.
2. For the conjecture related to infinite Sidon sets, one needs the
results in the PR google-deepmind#1481, so I left it as a TODO.
<img width="1052" height="413" alt="Screenshot 2026-01-06 at 1 40 26 AM"
src="https://github.com/user-attachments/assets/28b211a9-0c66-4089-972e-a722939ffc45"
/>

---------

Co-authored-by: Moritz Firsching <firsching@google.com>
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Erdős Problem 152

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