Sure.
In late March 2016 I was working out a problem in Openstack that had the appearance of a race condition. It had to do with the vif_unplugged_event sent from Nova to Neutron. In certain situations when the L2 service component in Neutron was behind on its work it would fail to respond to the event before Nova carried on with its work leaving the network in a bad state. We'd ultimately found a solution to the problem but while I was in the middle of it I was talking about it to someone who would graciously introduce me to the idea of modelling the system and using a model checker to find the race condition for me. I had heard about TLA+ from somewhere, once, so I listened.
I had been an enthusiastic enough student that this someone would become a good friend. Together we decided to work on some models of some underlying components in Openstack. Driven by the Amazon paper on their use of TLA+ on the AWS services it seemed like a worthwhile cause: see if we could convince open source projects to adopt these tools and techniques in the critical parts of their systems. Improve the reliability and safety of infrastructure projects like Openstack which continue to be used as components in applications such as Yahoo! Japan's earthquake notification service.
We haven't published our models yet but we started with a model of the semaphore lock in greenlet. It started as a high-level model using sets, simple actions, and some invariants in pure TLA+. We then added a model of the greenlet implementation in TLA's PlusCal algorithm language and used the model checker to prove the invariant in the higher-level specification still held when refined by the implementation model. We then refined the specification and the model in TLA+ until we came quite close to a representative implementation of the semaphore in PlusCal that was very close to how the Python code was written. We didn't find any errors which I think was satisfying.
We decided to take our little project to the Openstack design summit in Austin. My enthusiastic partner in maths and I found a handful of naive souls to come to an open discussion about formal methods, software specifications, and Openstack. It went quite well. We unfortunately haven't been able to expand on that effort as I'd lost my employment and he had to focus on his PhD thesis.
Needless to say though I've since used verification tools like TLA+ to model design ideas and I continue my studies in predicate calculus and logic-based proofs. I just don't talk about it too much at work. Tends to frighten the tender souls.
Update I should clarify that the errors we were particularly interested in were deadlocks in the implementation of the semaphore.