docs(lean4): add Rust cross-references to formal specs
Add documentation comments linking Lean 4 specifications to their corresponding Rust implementations (tree_predict, mlp_predict_32, PackedNode). Reference TorchLean arXiv ID for future axiom replacement. Signed-off-by: Sienna Meridian Satterwhite <sienna@sunbeam.pt>
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@@ -2,13 +2,23 @@ import Sunbeam.Model.Basic
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namespace Sunbeam
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/-- A decision tree node (inductive = automatic termination for structural recursion). -/
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/-- A decision tree node (inductive = automatic termination for structural recursion).
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This is an abstract specification of the Rust packed-array representation:
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`type PackedNode = (u8, f32, u16, u16)` — `(feature_index, threshold, left, right)`
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Leaf nodes in Rust use `feature_index = 255`; the threshold encodes the decision:
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`< 0.25` → Allow, `> 0.75` → Block, otherwise → Defer.
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Here we use an inductive type so that structural recursion gives automatic termination. -/
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inductive TreeNode where
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| leaf (decision : Decision) : TreeNode
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| split (featureIdx : Nat) (threshold : Float) (left right : TreeNode) : TreeNode
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deriving Repr
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/-- Tree prediction by structural recursion (termination is automatic). -/
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/-- Tree prediction by structural recursion (termination is automatic).
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Corresponds to `ensemble::tree::tree_predict` in Rust, which loops over a flat
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packed-node array. The semantic behavior is identical: split nodes compare
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`input[featureIdx]` against `threshold` and branch left/right. -/
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def treePredictAux {n : Nat} (input : Fin n → Float) : TreeNode → Decision
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| .leaf d => d
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| .split idx thr left right =>
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