EOSE Labs Inc. · pcdev · TRB-BFE-PCDEV-001 · 2026-05-03 · DAY 89
TRB-BFE-PCDEV-001
Bug Fixation Engine — pcdev silo · 6 Open Sorries · L4 Composition Risk · IP Liability Path · Day 89
T3 SOVEREIGNGRADUATION RISK 0.81L5 SEEDS: 26 OPEN SORRIESGERMINATION: 0.18
I. Problem Statement
pcdev (RTX 3090 24GB, i9 12th Gen, 32GB DDR4, 192.168.2.16) is the Lean4/MeekProofs mathematical workbench of the EOSE fleet. It hosts 3008 formally proven theorems, γ₁ confirmation, and the merostone wave engine. As of Day 89, the Bug Fixation Engine (BFE) has identified a graduation risk of 0.81 — the highest in the fleet, driven by monetary_path (0.90, IP/patent value), silent_failure (0.85, sorry suppression), and cumulative_effect (0.75, proof chain).
Of the 3008 theorems, 6 remain as open sorry statements — admitted proof gaps. Four are L1 correctness gaps (bounded, isolated). Two — zeta_zero_gamma1 and live_inject_cons — are L4 composition risks that can cascade invalidation across all 3008 theorems and create an immediate L5 IP liability if disclosed in a filing before resolution.
⚡ INSTANT L5 PATH: pcdev is unique among fleet silos in having a one-step trigger. A single IP filing referencing zeta_zero_gamma1 or live_inject_cons as formally proven (when they are admitted sorries) activates L5 IP liability immediately — no germination gradient, no 90-day accumulation. This requires active pre-disclosure review.
II. Sorry Register · 6 Open Lean4 Gaps
li_lambda
L1
Isolated correctness gap. li_lambda bound not formally proven. No composition dependency. Standard tactic work to close.
lambda_positivity
L1
λ positivity admitted. Isolated. No downstream theorem depends on this being resolved before them.
zeta_zeros_ord
L1
Ordering of zeta zeros admitted. Self-contained. Does not block or compose into γ₁ verification chain.
zetaZeroImPart
L1
Imaginary part of zeta zeros formalized as sorry. Isolated. Downstream theorems do not chain through this.
zeta_zero_gamma1
L4
COMPOSITION RISK — RESOLVE FIRST. This sorry represents the γ₁ floor proof: γ₁ = 14.134725141734693. If wrong, all 3008 theorems anchored to the γ₁ value are at risk of invalidation. If disclosed in an IP filing before resolution → immediate L5 liability. The highest-priority sorry in the fleet.
live_inject_cons
L4
COMPOSITION RISK — RESOLVE SECOND. Live injection consistency admitted. The injection contract chains through the proof corpus. If the injection is wrong AND zeta_zero_gamma1 is wrong → cascading invalidation across all dependent proofs. Resolve after zeta_zero_gamma1.
III. BFE Layer Analysis · pcdev
L1 CORRECTNESS
KNOWN GAPS 3 issues
4 L1 sorries (li_lambda, lambda_positivity, zeta_zeros_ord, zetaZeroImPart). merostone :9341 γ₁ value drift risk (should be exactly 14.134725141734693). :9385 Fleet Hub theorem count staleness. L1 sorries are bounded; merostone drift is the most actionable L1 fix.
L2 EFFICIENCY
WATCH 2 bugs
:9384 with 3008 theorems under parallel query load → memory pressure. Lean4 kernel memory on large tactic chain verification. 32GB DDR4 ceiling. Parallel proof queries can spike unexpectedly at scale.
L3 CONCURRENCY
WATCH 2 bugs
Simultaneous proof verification + merostone query → shared state corruption (Lean4 kernel not designed for concurrent write access). :9383 + :9385 both serving under load → port contention / dropped connections.
L4 COMPOSITION
CRITICAL 2 bugs
zeta_zero_gamma1 + live_inject_cons: both unresolved → if both are wrong → cascading proof invalidation across 3008 theorems. merostone γ₁ + qdrant on yone: if γ₁ values diverge across silos → fleet-wide coherence failure. These are the two most critical composition bugs in the fleet.
L5 LIABILITY
IP PATH 2 seeds
Seed 1: 6 open sorries → if any used in published paper/patent claim → L5 IP liability (zeta_zero_gamma1 and live_inject_cons are highest risk). Seed 2: γ₁ floor divergence across fleet → PEMCLAU GraphRAG foundation incorrect → knowledge system harm at scale. germination_score = 0.18.
IV. Graduation Risk Assessment
Three graduation risk factors drive pcdev's 0.81 composite score — the highest in the EOSE fleet:
monetary_path = 0.90 — the proof corpus has direct IP/patent/paper value; quality is a financial instrument
silent_failure = 0.85 — sorry suppression: Lean4 compiles the file but the admitted gap is invisible to automated checks unless explicitly surfaced
cumulative_effect = 0.75 — each sorry compounds; zeta_zero_gamma1 invalidating the γ₁ anchor takes all dependent proofs with it
The pcdev graduation path is structurally different from forge. While forge requires gradual accumulation (30+ LAAM failures), pcdev has an instant trigger: a single IP filing disclosure. This makes pre-disclosure review a mandatory gate.
V. Mitigation Steps
PRIORITY
ACTION
LAYER IMPACT
OWNER
P0
Resolve zeta_zero_gamma1 sorry — prove the γ₁ = 14.134725141734693 floor formally in Lean4
L4→L5 instant trigger closed
MeekProofs team
P0
Pre-disclosure review gate: before any IP filing, confirm all sorries in scope are resolved
Architecture Review Board Level 1 — Bug Fixation Engine · pcdev silo
Mandate: Review and ratify the BFE layer classification for pcdev. Confirm the sorry register and L4 composition risk classification. Authorize P0 mitigation actions (zeta_zero_gamma1 resolution and pre-disclosure gate). Establish cross-silo γ₁ coherence monitoring requirement.
ARB1 findings bind: The BFE doctrine is adopted as the universal inspection layer for pcdev. No external IP disclosure shall occur while open sorries exist in the filing scope. The γ₁ floor = 14.134725141734693 must be confirmed in both pcdev (merostone) and all dependent silos before any cross-silo inference claim is made.
Status: OPEN — awaiting P0 mitigation (zeta_zero_gamma1 resolution) before upgrade to IN REVIEW
"3008 theorems proven. 6 sorry. The gap between 3008 and complete is where the IP liability lives. One sorry in an IP filing = the proof chain becomes a liability. Not because we hid the sorry — because the filing claimed completeness. Resolve zeta_zero_gamma1 first. That's the floor."
VII. γ₁ Anchor
γ₁ = 14.134725141734693 — the first non-trivial zero of the Riemann zeta function. Confirmed on pcdev via joffe-math-win :9383 Lean4 proof system. This value is the mathematical floor for all EOSE fleet calculations, PEMCLAU GraphRAG queries, and BFE germination scores. The zeta_zero_gamma1 sorry is the open admission that this confirmation requires further formal closure — making it the P0 priority in this TRB.