google-deepmind / google-deepmind/formal-conjectures

Conjecture: No finite superstable Game of Life configuration exists

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new conjecture
Dominant language
Lean
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Description

### What is the conjecture?

> A finite configuration is superstable if it can survive in any environment, no matter how hostile, meaning that if it should ever appear on the board, then it will definitely reappear later in exactly that same position, regardless of what else is happening on the board.

https://mathoverflow.net/questions/132687/is-there-any-superstable-configuration-in-the-game-of-life

### Prerequisites needed
Formalization of Game of Life dynamics

### [AMS categories](https://github.com/google-deepmind/formal-conjectures/labels?q=ams-)

(not sure)

### Choose either option
- [ ] I plan on adding this conjecture to the repository
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Contributor guide

Open the contributing guide

Research direction

Start with the linked MathOverflow discussion and the repository's existing formalizations of Game of Life dynamics. Formalize the stated superstable-configuration conjecture in Lean; done means the conjecture has been added to the repository in an appropriate formal statement.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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