학술논문

Towards verification of hybrid systems in a foundational proof assistant
Document Type
Conference
Source
2015 ACM/IEEE International Conference on Formal Methods and Models for Codesign (MEMOCODE) Formal Methods and Models for Codesign (MEMOCODE), 2015 ACM/IEEE International Conference on. :248-257 Sep, 2015
Subject
Components, Circuits, Devices and Systems
Computing and Processing
Software
Safety
Cognition
Computer architecture
Upper bound
Sensors
Differential equations
Language
Abstract
Unsafe behavior of hybrid systems can have disastrous consequences, motivating the need for formal verification of the software running on these systems. Foundational verification in a proof assistant such as Coq is a promising technique that can provide extremely strong, foundational, guarantees about software systems. In this paper, we show how to apply this technique to hybrid systems. We define a TLA-inspired formalism in Coq for reasoning about hybrid systems and use it to verify two quadcopter modules: the first limits the quadcopter's velocity and the second limits its altitude. We ran both of these modules on an actual quadcopter, and they worked as intended. We also discuss lessons learned from our experience foundationally verifying hybrid systems.