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zeekayandHanzo Dev 3626b96b68 lean: prove the ten files that did not compile
Every library is a default target, so any one of these failing takes the
whole build down. What each was:

Compute/Billing.lean, Gateway/RateLimit.lean, CRDT/Anchor.lean — `simp [f]
at h` already turns the guard into a conjunction, so the `split at h` after
it had nothing left to split. Destructure the conjunction and state the
reduced goal for omega. In `rate_limited` the simp closed the goal, so the
line after it ran on none.

Compute/ConfidentialCompute.lean — `a == b = true` does not parse: `==` and
`=` are both precedence 50 and non-associative. State the propositional
equality, which is the stronger claim anyway.

Compute/PoAI.lean — `reward_bounded` was false as stated. qualityScore is
unbounded in the type, so `rate ≤ 1000` alone does not bound
computeUnits * rate * quality / 1000000 by computeUnits; quality = 10^9
breaks it. Added the range hypothesis on qualityScore that the 1000000
divisor normalizes against, and proved it. `canonical_root` was false of an
arbitrary AISupply — nothing stops a record from teleporting more than was
minted — so the bridge invariant it needs is now stated as `wellFormed`.
`low_quality_no_mining` closed at the simp.

Compute/Swarm.lean, KMS/Secrets.lean — trailing `omega` after a simp that
had already closed the goal. AccessPolicy also needed `deriving Repr`,
which SecretMeta's own Repr derivation requires of it.

CRDT/Privacy.lean — `seal ` is a Lean command token, so a structure field
named `seal` cannot parse. Backend fields take the names the Go interface
uses (encrypt / decrypt) and the envelope layer is wrap / unwrap.
`wrong_tag` needed the tag inequality in the direction the guard tests it,
and both message theorems needed mapM' so the goal did not unfold into
List.mapM.loop.

Gateway/Auth.lean — checkAuth calls the axiomatized verifyToken, so it has
no code to compile: noncomputable.

Platform/SBOM.lean — simp had already pushed the negation inward, leaving
push_neg nothing to do, and `List.all_cons` left a goal in ∀-form that the
Bool-form hypothesis does not close.

Three statements compiled while asserting nothing, and now carry a claim:
enclave_isolation and attestation_constant_size stated `True`, and
derived_key_isolation returned its own hypothesis. Isolation is now
non-interference over a host view — two attested tasks differing only in
enclave payload look identical from outside — and derived_key_isolation
derives the master's confinement from hsm_boundary, which until now no
theorem used.

lake build exits 0. vacuity.py: 0 vacuous declarations, down from 2, and no
theorem rests on sorryAx.

Co-authored-by: Hanzo Dev <[email protected]>
2026-07-29 11:47:14 -07:00

73 lines
2.2 KiB
Lean4

/-
Rate Limiting Fairness
Token bucket rate limiting. Fair across tenants.
No single tenant can starve others.
Maps to:
- hanzo/gateway: rate limiting middleware
- hanzo/iam: tenant-level quotas
Properties:
- Fairness: each tenant gets their quota
- No starvation: below-quota requests always pass
- Burst: allows short bursts up to bucket size
- Recovery: bucket refills over time
Author: Woo Bin
-/
import Mathlib.Data.Nat.Defs
import Mathlib.Tactic
namespace Gateway.RateLimit
structure TokenBucket where
tokens : Nat -- current tokens
capacity : Nat -- max tokens (burst size)
refillRate : Nat -- tokens per second
def tryConsume (b : TokenBucket) (cost : Nat) : Option TokenBucket :=
if cost ≤ b.tokens then some { b with tokens := b.tokens - cost }
else none
def refill (b : TokenBucket) (seconds : Nat) : TokenBucket :=
{ b with tokens := min (b.tokens + seconds * b.refillRate) b.capacity }
/-- FAIRNESS: If you have tokens, request passes -/
theorem has_tokens_passes (b : TokenBucket) (cost : Nat)
(h : cost ≤ b.tokens) :
(tryConsume b cost).isSome = true := by
simp [tryConsume, h]
/-- RATE LIMITED: No tokens → blocked -/
theorem no_tokens_blocked (b : TokenBucket) (cost : Nat)
(h : cost > b.tokens) :
tryConsume b cost = none := by
simp [tryConsume, Nat.not_le.mpr h]
/-- BURST: Bucket never exceeds capacity -/
theorem refill_capped (b : TokenBucket) (seconds : Nat) :
(refill b seconds).tokens ≤ b.capacity := by
simp [refill]
/-- RECOVERY: Refill never loses tokens, for any bucket at or under
capacity. The cap is what makes the bound need `hb`: a bucket already
over capacity would be clamped down by a refill. -/
theorem refill_increases (b : TokenBucket) (seconds : Nat)
(hb : b.tokens ≤ b.capacity) :
(refill b seconds).tokens ≥ b.tokens := by
simp only [refill]
exact le_min (Nat.le_add_right _ _) hb
/-- CONSUMPTION DECREASES: Using tokens reduces count -/
theorem consume_decreases (b b' : TokenBucket) (cost : Nat)
(h : tryConsume b cost = some b') (hc : cost > 0) :
b'.tokens < b.tokens := by
simp [tryConsume] at h
obtain ⟨hcost, rfl⟩ := h
show b.tokens - cost < b.tokens
omega
end Gateway.RateLimit