🤖 AI Summary
This work addresses the fundamental challenge that cross-platform nondeterminism undermines the reliability of AI system verification, thereby eroding the foundation of trustworthy AI. We propose the “Determinism Thesis,” asserting that deterministic inference is both necessary and sufficient for achieving key trustworthiness properties—including fairness, robustness, privacy, security, and alignment. To realize this, we develop a pure integer inference engine that eliminates nondeterminism inherent in IEEE 754 floating-point arithmetic and introduce “trust entropy” to quantify the cost of nondeterminism. Implemented in Rust, our system integrates hash-consistency validation with on-chain blockchain proofs. Across 82 cross-architecture (ARM/x86) tests—using models up to 6.7B parameters—it achieves zero hash mismatches, perfect output consistency across four geographically distributed nodes, and successful verification via 356 on-chain transactions.
📝 Abstract
We prove that platform-deterministic inference is necessary and sufficient for
trustworthy AI. We formalize this as the Determinism Thesis and introduce trust
entropy to quantify the cost of non-determinism, proving that verification failure
probability equals 1 - 2^{-H_T} exactly. We prove a Determinism-Verification
Collapse: verification under determinism requires O(1) hash comparison; without it,
the verifier faces an intractable membership problem. IEEE 754 floating-point
arithmetic fundamentally violates the determinism requirement. We resolve this by
constructing a pure integer inference engine that achieves bitwise identical output
across ARM and x86. In 82 cross-architecture tests on models up to 6.7B parameters,
we observe zero hash mismatches. Four geographically distributed nodes produce
identical outputs, verified by 356 on-chain attestation transactions. Every major
trust property of AI systems (fairness, robustness, privacy, safety, alignment)
presupposes platform determinism. Our system, 99,000 lines of Rust deployed across
three continents, establishes that AI trust is a question of arithmetic.