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⇓ Download
or try Online or read Book or list Documents or consult API Doc or study Source |
Announcements
- Upcoming tutorial: FM 2019 Tutorial on KeYmaera X: Modular Formal Verification of Cyber-Physical Systems with KeYmaera X
- New textbook: Logical Foundations of Cyber-Physical Systems, Springer, 2018
Overview
Self-driving cars, autonomous robots, modern airplanes, or robotic surgery: we increasingly entrust our lives to computers and therefore should strive for nothing but the highest safety standards - mathematical correctness proof. Proofs for such cyber-physical systems can be constructed with the KeYmaera X prover. As a hybrid systems and hybrid games theorem prover, KeYmaera X analyzes the control program and the physical behavior of the controlled system together.
KeYmaera X features a minimal core of just 1700 lines of code that isolates all soundness-critical reasoning. Such a small and simple prover core makes it much easier to trust verification results. Pre-defined and custom tactics built on top of the core drive automated proof search. KeYmaera X comes with a web-based front-end that provides a clean interface for both interactive and automated proving, highlighting the most crucial parts of a verification activity.
- Download KeYmaera X to use it on your computer
- Try KeYmaera X Online for first impressions (but reduced speed)
Summary
KeYmaera X is a theorem prover for
KeYmaera X is built up from a small trusted core. The core contains a finite list of locally sound dL axioms that are instantiated using a uniform substitution proof rule. Isolating all soundness-critical reasoning in this axiomatic core obviates the otherwise intractable task of ensuring that proof search algorithms are implemented correctly. This enables advanced proof search features---such as aggressive, speculative proof search and user-defined tactics built using a flexible tactic language---without correctness concerns that could undermine the usefulness of automated analysis. KeYmaera X demonstrates tactics on top of the axiomatic core provide a rich language for implementing novel and highly sophisticated automatic proof procedures.
Case Studies
These are a few of the many other case studies that have been verified in KeYmaera X:![]() |
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More case studies are also reported in corresponding publications.
Quick Usage
Also get quick usage help any time with the ? menu button in KeYmaera X.
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Any opinions, findings, and conclusions or recommendations expressed are those of the author(s) and do not necessarily reflect the views of any sponsoring institution.