Robotics problem reproductions

• Path smoothing selects the wrong arclength point
• Reject a path that already crosses an inflated obstacle
• Choose a five-state EKF for velocity-scale correction
• EKF covariance must be symmetric positive definite
• Check planar IK target reachability before solving
• Forward kinematics needs one angle per link
• Use positive state costs for this bounded LQR example
• Ruckig requires positive per-axis motion limits
• Ruckig state and limit vectors must share an axis count
• Reject a path handoff between different coordinate frames

Ten authored CPU input/contract checks. Not autonomous agent discovery or hardware verification.

Agent contract | All cases