
Seventeenth Conference on Interactive Theorem Proving
Lisbon, Portugal, 2026
Cloud computing relies on hypervisors to enforce isolation between co-tenanted virtual machines. Hypervisors are therefore critical security infrastructure, and assurance of their correctness is paramount. Traditional engineering techniques—code review, testing, fuzzing—provide strong assurance but cannot exhaustively verify that isolation holds across all possible execution paths. Formal verification extends and complements these approaches by establishing mathematical guarantees about system behaviour.
This talk presents our experience applying interactive theorem proving to verify a production hypervisor component: the Nitro Isolation Engine. This is a trusted, minimalist computing base written in Rust, enforcing isolation between virtual machines on AWS Graviton5 EC2 instances. Designed for verification from inception, we have specified the intended behaviour of this component and verified correctness in the Isabelle/HOL interactive theorem prover, producing approximately 350,000 lines of machine-checked models and proofs, and establishing three key classes of property:
1) Functional correctness: The system behaves as specified for all operations including virtual machine creation, memory mapping, and abort handling. Our total verification approach additionally establishes memory-safety, termination, and absence of runtime errors.
2) Confidentiality: A noninterference-style property demonstrates that guest virtual machine state remains hidden from an expansive definition of observer monitoring system actions, formalised as indistinguishability preservation up to permitted declassification flows.
3) Integrity: Guest virtual machine private state is unaffected by operations on distinct virtual machines.
Currently, our proof coverage extends to verification of the core virtual machine-management hypercalls, guest power management, various utility hypercalls, and a subset of data, instruction, and asynchronous abort handling, and will continue to expand to cover more functionality including PCI device management and virtual GIC (Generic Interrupt Controller) handling.The talk will discuss the verification approach, key proof techniques, and challenges in applying formal methods to production systems. Note that this work builds on decades of academic research across interactive theorem proving, formal specification, separation logic and its automation, and programming language semantics.
We describe our experience developing qrhl-tool, a theorem prover for verifying quantum cryptographic protocols, both in the post-quantum and the full quantum setting. The tool is built around quantum relational Hoare logic (qRHL), a relational program logic for reasoning about pairs of quantum programs in the style of game-based cryptographic proofs. We discuss the design choices underlying the tool: in particular, a hybrid architecture that delegates ambient-logic reasoning to Isabelle/HOL while qrhl-tool itself handles qRHL judgments and the program language; an advanced memoization mechanism (hashed computations) that enables efficient incremental proof checking; and a deliberate path towards a foundational implementation. We walk through a small worked example (the hardness of inverting f∘︎f given a one-way permutation f) to illustrate how these pieces fit together in practice. Along the way we highlight what we got right, what we got wrong, and which limitations (procedure parameters, local variables, runtime reasoning) we would approach differently if starting over today.