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  - equivalence
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  ---
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- # tiny-BiImplies-prover
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  Formally verified biconditional gate (if and only if). Two-layer threshold network computing logical equivalence with 100% accuracy.
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@@ -97,9 +97,9 @@ BiImplies(x,y) = OR(NOR(x,y), AND(x,y)) = (x ↔ y)
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  ```bibtex
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  @software{tiny_biimplies_prover_2025,
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- title={tiny-BiImplies-prover: Formally Verified Biconditional Gate},
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  author={Norton, Charles},
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- url={https://huggingface.co/phanerozoic/tiny-BiImplies-prover},
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  year={2025}
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  }
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  ```
 
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  - equivalence
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  ---
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+ # tiny-BiImplies-verified
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  Formally verified biconditional gate (if and only if). Two-layer threshold network computing logical equivalence with 100% accuracy.
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  ```bibtex
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  @software{tiny_biimplies_prover_2025,
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+ title={tiny-BiImplies-verified: Formally Verified Biconditional Gate},
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  author={Norton, Charles},
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+ url={https://huggingface.co/phanerozoic/tiny-BiImplies-verified},
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  year={2025}
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  }
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  ```