Infusion pumps operate at the nexus of firmware and pharmacology. Software glitches that cause uncontrolled free-flow or dosage spikes have resulted in fatal overdoses and massive recalls. This research applies model checking with TLA+ and formal mathematical proofs in Coq to verify zero-defect control logic in closed-loop automated insulin and vasopressor delivery.
By formally specifying motor stepper pulses, encoder feedback, and pressure sensor thresholds in temporal logic, mathematical proof checkers verify that free-flow states are mathematically impossible across all reachable state spaces.
Proven mathematical specifications are translated into MISRA-compliant C source code, ensuring that the deployed firmware precisely implements verified theoretical properties.