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13 lines
955 B
Markdown
13 lines
955 B
Markdown
# Proofs
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Formal mathematical arguments for the key claims.
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> 📖 All proofs use standard mathematical methods. For background on the underlying research, see [REFERENCES.md](../REFERENCES.md).
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| File | Claim | Method |
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|------|-------|--------|
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| [`ternary-efficiency.md`](./ternary-efficiency.md) | Ternary is more computationally efficient than binary | Calculus / radix economy ([Knuth, 1980](https://en.wikipedia.org/wiki/Radix_economy)) |
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| [`self-reference.md`](./self-reference.md) | The QWERTY encoding is self-referential | Direct construction |
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| [`pure-state.md`](./pure-state.md) | The density matrix of the system is a pure state | Linear algebra / SVD ([von Neumann, 1932](https://en.wikipedia.org/wiki/Density_matrix)) |
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| [`universal-computation.md`](./universal-computation.md) | The ternary bio-quantum system is Turing-complete | Reaction network theory ([Turing, 1936](https://www.cs.virginia.edu/~robins/Turing_Paper_1936.pdf)) |
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