# Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation

*Source* · `src-miotti-2025-difflogic-ca` · status: **n/a**

| field | value |
|---|---|
| kind | Technical report / blog |
| authors | Pietro Miotti, Eyvind Niklasson, Ettore Randazzo, Alexander Mordvintsev |
| venue | Google Paradigms of Intelligence |
| date | 2025-03-03 |
| url | https://google-research.github.io/self-organising-systems/difflogic-ca/ |
| arxiv | 2506.04912 |
| accessed | 2026-10-24 |

## Notes

Learned binary logic-gate circuits as NCA rules; learns Game of Life from all 512 3x3 configurations with 336 active gates; lizard pattern 577 gates; self-healing and asynchronous variants.

## Backlinks (computed)

**cited by:** [Neural cellular automata](../technique/neural-cellular-automata.md)

## Citation

Pietro Miotti, Eyvind Niklasson, Ettore Randazzo, Alexander Mordvintsev (2025-03-03). *Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation*. Google Paradigms of Intelligence https://google-research.github.io/self-organising-systems/difflogic-ca/

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Provenance: created in run `2026-10-24-techniques-sim-math`.