Pegasus: sound continuous invariant generation

Andrew Sogokon, Stefan Mitsch, Yong Kiam Tan, Katherine Cordwell, André Platzer
2021 Formal methods in system design  
AbstractContinuous invariants are an important component in deductive verification of hybrid and continuous systems. Just like discrete invariants are used to reason about correctness in discrete systems without having to unroll their loops, continuous invariants are used to reason about differential equations without having to solve them. Automatic generation of continuous invariants remains one of the biggest practical challenges to the automation of formal proofs of safety for hybrid
more » ... There are at present many disparate methods available for generating continuous invariants; however, this wealth of diverse techniques presents a number of challenges, with different methods having different strengths and weaknesses. To address some of these challenges, we develop Pegasus: an automatic continuous invariant generator which allows for combinations of various methods, and integrate it with the KeYmaera X theorem prover for hybrid systems. We describe some of the architectural aspects of this integration, comment on its methods and challenges, and present an experimental evaluation on a suite of benchmarks.
doi:10.1007/s10703-020-00355-z fatcat:6bzcbvszcfbedifbtuezu6xzuq