Paper IX · Lean source

InvalidJointParameterSign.lean

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polynomial_joint_motion/controls/InvalidJointParameterSign.lean9 lines

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1 module
2 public import PolynomialJointMotionControls
3 @[expose] public section
4 open Komorebi.PolynomialJointMotionControls
5 
6 -- Invalid: in the same actual joint deformation, replacing H(a)+K v with
7 -- H(a)-K v predicts zero and leaves an error not divisible by 2^4.
8 example : (2 : ℤ_[2]) ^ 4 ∣ (-8 : ℤ_[2]) - (-(2 : ℤ_[2]) ^ 2 * (1 - 1)) := by
9   exact reversed_parameter_sign_fails

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Back to Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation