Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/AVMRClassification.lean

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import Mathlib
import AVMRCore
/-! # AVMR Classification
Event classification to DNA bases.
Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).
-/
/-- The four axial generators correspond to DNA bases -/
inductive EventType | a | g | c | t
deriving Repr, BEq, DecidableEq
/-- Classification of shell positions to DNA bases.
These 4 special positions on each shell correspond to
the 4 nucleotide bases, mapping structural features
to biochemical properties:
- a (n = k²): Purine, 2 H-bonds (A)
- g (n = k² + k): Purine, 3 H-bonds (G)
- c (n = k² + k + 1): Pyrimidine, 3 H-bonds (C)
- t (n = (k+1)² - 1): Pyrimidine, 2 H-bonds (T)
-/
def classifyEvent (s : ShellState) : Option EventType :=
let k := s.k; let n := s.n
if n = k*k then some .a
else if n = k*k + k then some .g
else if n = k*k + k + 1 then some .c
else if n = (k+1)*(k+1) - 1 then some .t
else none