Cryptography July 2026

Formal Proofs of Leakage Bounds in Isolation Environments

By AANSC Research Laboratory

Abstract

This paper introduces a mathematically verified framework for bounding side channel information leakage within hardware isolated systems. By modeling state transitions under differential analysis, we prove zero information leaks for target workloads, establishing a robust security paradigm for high integrity compute enclaves.

Methodology & Proofs

Our approach uses interactive theorem proving tools to model cache behaviors, instruction level timing paths, and bus sharing variables under strict security bounds. By defining entropy transfer functions, we bound information leaks, validating enclaves mathematically.

[Theorem 1: Leakage Upper Bound]

ℋ(𝒳 | 𝒴) ≥ ℋ(𝒳) - 𝓘(𝒳 ; 𝒴) - 𝜺

Where 𝓘(𝒳 ; 𝒴) ≤ 𝜺 represents the maximum mutual information leakage over timing channels.
Isolation Proof Workflow State Trace Entropy Model Zero Leak Proof