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.
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