roadmap_id,roadmap_name,cluster,desired_status,actual_status,source_deliverable,coq_theorem_name,lean_theorem_name,proof_status,notes,next_action
1,Claim-boundary classification invariant,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
2,Formal claim scope preservation,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
3,Triple-kernel wording correction,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
4,Theorem-to-runtime non-substitution,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
5,White-paper redundancy elimination rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
6,Six-face terminology consistency rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
7,88.9% boundary-site precision rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
8,CAISI non-mandate rewrite rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
9,CAISI backdoor boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
10,CAISI prompt-injection boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
11,CAISI misalignment boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
12,CAISI traditional vulnerability boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
13,Goodput claim non-universality rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
14,TPU-economics rewrite rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
15,NVLink non-interposition rewrite rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
16,Quantum future-work boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
17,Attention-shape future-theorem boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
18,Hot-path no semantic judge rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
19,OpenVINO product boundary rule,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
20,NVLink boundary non-interposition,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
21,Raw TPU-parity non-claim,Claim discipline and terminology guardrails,abstract_passable_proof_obligation,OUT_OF_SCOPE,,,,N/A,"Cluster 0 rows are claim-boundary guardrails, not theorems.",Editorial review of claim classification.
22,Recursive Cubie size theorem,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
23,Side-state propagation theorem,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
24,Boundary incidence coupling theorem,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
25,Parent-child propagation theorem,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
26,Local update closure theorem,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
27,Disjoint update closure commutativity,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
28,Overlapping closure non-commutativity,Cubie primitive geometry,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
29,Context-valid Plus authorization theorem,Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
30,Typed monotone access theorem,Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
31,Geometry beats cardinality theorem,Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
32,"Same density, different authorization theorem",Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
33,Color-valid access theorem,Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
34,Seam product conjunction theorem,Base geometric access,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
35,Golden Path scaling theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
36,Recursive Crowd failure theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
37,Depth-3 structural breakpoint theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
38,Geometric renormalization flow theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
39,Distributional state necessity theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
40,Independent OR-of-Plus success theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
41,Recursive noise amplification theorem,Recursive Cubie access and noise growth,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
42,Frame beats geometry theorem,"Context, frame, lineage, and unified Golden Path",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
43,Lineage-valid Golden Path theorem,"Context, frame, lineage, and unified Golden Path",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
44,Context-color-frame-lineage Golden Path theorem,"Context, frame, lineage, and unified Golden Path",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
45,Seam-string composition theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
46,Seam failure localization theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
47,Non-commutative seam ordering theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
48,Corner consensus theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
49,Corner topology expansion theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
50,Nonce-uniqueness replay-resistance theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
51,Explainable denial certificate theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
52,Denial-count zero iff authorized theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,VERIFIED_EXACT,V1.19.2,RamenCornerConsensusV1192.denial_count_zero_iff_authorized,RamenCornerConsensusV1192.denial_count_zero_iff_authorized;CubieTrustCompilerV1_50.denial_count_zero_iff_request_clean,PASS,Denial count zero iff authorized / clean.,
53,Denial-count positive iff denied theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,VERIFIED_EXACT,V1.19.2,RamenCornerConsensusV1192.denial_count_positive_iff_denied,RamenCornerConsensusV1192.denial_count_positive_iff_denied,PASS,Denial count positive iff denied.,
54,Predicate non-vacuity theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,VERIFIED_EXACT,V1.19.2,RamenCornerConsensusV1192.good_corner_exists;RamenCornerConsensusV1192.bad_corner_exists,RamenCornerConsensusV1192.good_corner_exists;RamenCornerConsensusV1192.bad_corner_exists,PASS,Predicate non-vacuity (good and bad corners exist).,
55,Edge-seam decomposition theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
56,Surface-only monitor insufficiency theorem,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
57,Denial certificate completeness,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
58,Denial certificate soundness,"Seam strings, corners, and explainable denial",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
59,Surface-spoofing separation theorem,Surface spoofing and face promotion,abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
60,"Same face projection, different seam assignment theorem",Surface spoofing and face promotion,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
61,CubieRequest face-promotion theorem,Surface spoofing and face promotion,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.50,CubieTrustCompilerV1_50.cubie_request_substrate,CubieTrustCompilerV1_50.cubie_request_substrate,PASS,CubieRequest face-promotion substrate.,
62,Face-localized denial theorem,Surface spoofing and face promotion,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.50,CubieTrustCompilerV1_50.face_localized_denial_who;CubieTrustCompilerV1_50.face_localized_denial_what;CubieTrustCompilerV1_50.face_localized_denial_when;CubieTrustCompilerV1_50.face_localized_denial_where;CubieTrustCompilerV1_50.face_localized_denial_why;CubieTrustCompilerV1_50.face_localized_denial_how,CubieTrustCompilerV1_50.face_localized_denial,PASS,One denial theorem per face (6 total).,
63,Admit implies every required face passed,Surface spoofing and face promotion,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.50,CubieTrustCompilerV1_50.admit_implies_who_pass;CubieTrustCompilerV1_50.admit_implies_what_pass;CubieTrustCompilerV1_50.admit_implies_when_pass;CubieTrustCompilerV1_50.admit_implies_where_pass;CubieTrustCompilerV1_50.admit_implies_why_pass;CubieTrustCompilerV1_50.admit_implies_how_pass,CubieTrustCompilerV1_50.admit_implies_all_pass,PASS,Admit implies every required face passed.,
64,Denial count bounded by 54,Surface spoofing and face promotion,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.50,CubieTrustCompilerV1_50.denial_count_bounded_54,CubieTrustCompilerV1_50.denial_count_bounded_54,PASS,Denial count bounded by 54 oriented facelets.,
65,Head-shape spoofing separation theorem,Surface spoofing and face promotion,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
66,Indirect prompt-injection surface-seam separation theorem,Surface spoofing and face promotion,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
67,Delegated permission composition algebra,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
68,Subagent permission attenuation theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
69,Recursive depth bound theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
70,Depth-ceiling liveness/safety theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
71,Depth ceiling rejection theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
72,Parent-signed child Cubie theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
73,Cryptographic subagent chaining theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
74,Proof-carrying delegation chain,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
75,Symmetric fast-path capability chain theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
76,Symmetric fast-path constraint theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
77,Parent capability HMAC binding theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
78,Capability HMAC binding theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
79,Parent request hash continuity,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
80,Parent chain hash continuity,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
81,Delegation depth consistency,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
82,No privilege escalation along seam-string theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
83,Context-loop denial theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
84,Linear lease anti-runaway theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
85,Runaway agent bounded-authority theorem,Agentic recursion and delegated permissions,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
86,Request-to-Cubie totality theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
87,Request-to-Cubie rejection theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
88,CubieRequest determinism theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
89,Output-state exhaustiveness theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
90,Output-state exclusivity theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
91,Payload hash restoration theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
92,Telemetry epoch type-width theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
93,Lease nonce capability binding theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
94,Rust runtime struct completeness theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
95,Rust type coherence theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
96,Parse envelope field completeness theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
97,Pseudocode/struct synchronization theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
98,Appendix A algorithmic consistency theorem,Request-to-Cubie construction and struct integrity,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
99,Two-corner admission decomposition theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.40,CubieBridgeV1_40.admit_decomposition,CubieBridgeV1_40.admit_decomposition,PASS,WriteOK two-corner decomposition; axiom-free in Lean.,
100,GPU failure implies denial theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.40,CubieBridgeV1_40.gpu_failure_implies_denial,CubieBridgeV1_40.gpu_failure_implies_denial,PASS,GPU corner failure implies denial.,
101,Deployment failure implies denial theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.40,CubieBridgeV1_40.deployment_failure_implies_denial,CubieBridgeV1_40.deployment_failure_implies_denial,PASS,Deployment corner failure implies denial.,
102,Cross-corner independence witness theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,VERIFIED_EXACT,V1.40,CubieBridgeV1_40.gpu_only_pass_witness;CubieBridgeV1_40.deployment_only_pass_witness,CubieBridgeV1_40.gpu_only_pass_witness;CubieBridgeV1_40.deployment_only_pass_witness,PASS,Independence witnesses for GPU/deployment corners.,
103,Runtime trust compiler soundness theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
104,Runtime trust compiler completeness theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
105,Proof-carrying admission theorem,Two-corner runtime admission core,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
106,Secure workload identity seam theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
107,Provenance seam theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
108,Runtime attestation seam theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
109,Attested key release theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
110,Policy drift denial theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
111,Signed policy bundle activation theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
112,Theorem-to-runtime hash binding theorem,"Identity, provenance, attestation, and policy seams",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
113,Runtime bytecode soundness theorem,Policy compiler and bytecode VM,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
114,Runtime bytecode completeness theorem,Policy compiler and bytecode VM,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
115,OPA/Rego-to-Cubie bytecode equivalence theorem,Policy compiler and bytecode VM,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
116,Sub-millisecond hot-path invariant,Policy compiler and bytecode VM,abstract_passable_proof_obligation,EMPIRICAL_CLAIM,,,,N/A,Has formal component but requires empirical validation first.,Implement benchmark harness; record measurement.
117,Admission lease integrity theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,VERIFIED_EXACT,V2.0,CubieTrustCompilerV2_0.lease_integrity,CubieTrustCompilerV2_0.lease_integrity,PASS,Admission lease integrity theorem.,
118,Lease issuance after capacity decrement theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
119,Deny-on-decrement-failure theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
120,Bypass-no-lease theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,VERIFIED_EXACT,V2.0,CubieTrustCompilerV2_0.bypass_no_lease,CubieTrustCompilerV2_0.bypass_no_lease,PASS,Bypass-no-lease: no bypass without verified lease.,
121,Host-side verifier soundness theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
122,Scheduler lease contract theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
123,Target binding theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
124,Topology safety theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
125,Lease linear consumption theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
126,Replay attack rejection theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
127,Payload tampering rejection theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
128,Epoch monotonicity theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,VERIFIED_EXACT,V2.0,CubieTrustCompilerV2_0.epoch_advance_strictly_increases;CubieTrustCompilerV2_0.epoch_advance_no_rollback,CubieTrustCompilerV2_0.epoch_monotonicity,PASS,Epoch monotonicity — no rollback.,
129,Telemetry epoch freshness theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
130,Cached-telemetry safety theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
131,DCGM non-oracle boundary theorem,"Lease, replay, host verifier, and epoch lifecycle",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
132,Kinetic halting at MAX_CAYLEY_DEPTH theorem,Execution physics and target routing,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
133,Target manifold split exclusivity theorem,Execution physics and target routing,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
134,High-severity tarpit isolation theorem,Execution physics and target routing,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
135,Safe physical VRAM dispatch theorem,Execution physics and target routing,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
136,Goodput firewall containment theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
137,Deny-late waste theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
138,Pre-prefill gate necessity theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
139,Roofline goodput predicate theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
140,KV-cache byte upper-bound theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
141,Context-length pessimistic bound theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
142,L_ctx pessimistic bound theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
143,Output-cap resource-stranding theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
144,Q/KV attention-shape match theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
145,Context-bomb denial theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
146,Retry-storm containment theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
147,Useful-output goodput theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
148,Exact-zero-SM waiter detection predicate,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
149,NVLink waiter safe predicate correction,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
150,Adapter swap safety theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
151,Adapter swap OK predicate theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
152,LoRA adapter digest binding theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
153,Adapter swap starvation theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
154,Combined waste_ok decomposition theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
155,Goodput economics theorem,GPU goodput and waste predicates,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
156,Optimistic capacity decrement theorem,Capacity accounting and TOCTOU protection,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
157,"Optimistic capacity decrement theorem, runtime version",Capacity accounting and TOCTOU protection,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
158,Capacity shard non-negativity theorem,Capacity accounting and TOCTOU protection,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
159,TOCTOU burst safety theorem,Capacity accounting and TOCTOU protection,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
160,OpenVINO cold-path restraint theorem,"OpenVINO, cold path, and risk integers",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
161,OpenVINO cold-path exclusivity theorem,"OpenVINO, cold path, and risk integers",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
162,Risk-integer snapshot safety theorem,"OpenVINO, cold path, and risk integers",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
163,Risk integer freshness theorem,"OpenVINO, cold path, and risk integers",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
164,HA split-brain fail-closed theorem,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,VERIFIED_EXACT,V2.0,CubieTrustCompilerV2_0.ha_split_brain_fail_closed,CubieTrustCompilerV2_0.ha_split_brain_fail_closed,PASS,HA split-brain must fail closed on high-impact requests.,
165,Deterministic active-active decision theorem,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
166,Degraded local epoch tick theorem,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
167,"Degraded local epoch tick theorem, implementation version","HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
168,Degraded epoch safety bound,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
169,Nonce filter flush safety theorem,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
170,Host Bloom saturation prevention theorem,"HA, split-brain, and degraded availability",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
171,Append-only audit ledger integrity theorem,"Audit, privacy, and proof-ledger integrity",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
172,Dual-ledger non-disclosure theorem,"Audit, privacy, and proof-ledger integrity",abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieDualLedger.dual_ledger_non_disclosure,CubieDualLedger.dual_ledger_non_disclosure,PASS,US11956363B2 Claims 1-3 7-8. Public ledger hides identity; anon ID linkage; consent required.,CUB-0734 through CUB-0740. Coq+Lean proofs complete.
173,Denial certificate privacy theorem,"Audit, privacy, and proof-ledger integrity",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
174,Surface projection minimality theorem,"Audit, privacy, and proof-ledger integrity",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
175,Cubie-to-Omega projection refinement theorem,Cubie/Omega substrate bridge and witness boundaries,abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
176,Omega witness completeness theorem,Cubie/Omega substrate bridge and witness boundaries,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
177,Per-witness denial theorem family,Cubie/Omega substrate bridge and witness boundaries,abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
178,Hardware-key boundary condition theorem,Cubie/Omega substrate bridge and witness boundaries,abstract_passable_proof_obligation,ENGINEERING_INVARIANT,,,,PENDING,Runtime invariant with formal analogue — Verus bridges the gap.,Write Verus spec; escalate to Coq/Lean if formal proof needed.
179,Session-state freshness theorem,Cubie/Omega substrate bridge and witness boundaries,abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
180,CAISI RFI alignment theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
181,CAISI vector mapping table completeness theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
182,Traditional vulnerability coverage theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
183,Prompt-injection seam denial theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
184,Backdoor side-effect containment theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
185,Supply-chain backdoor provenance gate theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
186,Misaligned objective pre-execution negation theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,DERIVED_CANDIDATE,,,,PENDING,Likely derivable from verified stack — needs formal proof.,Identify parent theorems in source stack; write formal derivation.
187,Rollback is late theorem,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,REWRITE_RULE,,,,PENDING,Has documentation guardrail component + formal obligation.,Rewrite doc claim; then formalize supporting theorem.
188,Empirical replication requirement,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,EMPIRICAL_CLAIM,,,,N/A,Empirical measurement + spec cleanup required.,Define benchmark target; clean up rewrite guardrail.
189,Gross-vs-net recovery separation rule,"Regulatory, CAISI, and governance alignment",abstract_passable_proof_obligation,REWRITE_RULE,,,,N/A,Terminology / spec guardrail — no formal proof required.,Audit documented claim; update whitepaper section.
190,Conditional QEC realization theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.conditional_qec_realization,CubieQuantumConsentAdvanced.conditional_qec_realization,PASS,US20240195628A1 Claim 1. NFT hierarchy = consent hierarchy; stabilizer = smart contract.,CUB-0741. Coq+Lean+Verus proofs complete.
191,Stabilizer validity theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.stabilizer_validity,CubieQuantumConsentAdvanced.stabilizer_validity,PASS,US20240195628A1 Claim 2. Zero code distance = no enforcement power.,CUB-0742. Coq+Lean+Verus proofs complete.
192,Holevo-bounded extraction theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.holevo_bounded_extraction,CubieQuantumConsentAdvanced.holevo_bounded_extraction,PASS,US20240195628A1 Claim 3. Sub-policy data bounded by parent capacity (Holevo bound).,CUB-0743. Coq+Lean+Verus proofs complete.
193,Measurement-collapse consent theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.measurement_collapse_consent,CubieQuantumConsentAdvanced.measurement_collapse_consent,PASS,US20240195628A1 Claim 4. Parent revoke cascades to all children (measurement collapse).,CUB-0744. Coq+Lean+Verus proofs complete.
194,Entanglement-induced correlation theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
195,Context-dependent measurement basis theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
196,Non-commutative consent algebra theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
197,Quantum consent channel theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
198,Contextual entanglement-wedge reconstruction theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
199,Information-percolation threshold theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
200,Consent capacity theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
201,Contextual consent kernel threshold theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
202,Dynamic consent mixing theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.
203,Arbitrary-graph consent threshold complexity theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.

-194,Entanglement-induced correlation theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.

+194,Entanglement-induced correlation theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.entanglement_grant_correlation,CubieQuantumConsentAdvanced.entanglement_grant_correlation,PASS,US20240195628A1 Claim 5. Grant/revoke patterns are deterministic correlations.,CUB-0745. Coq+Lean+Verus proofs complete.


Edit

195,Context-dependent measurement basis theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,FUTURE_OBLIGATION,,,,PENDING,Requires new formal definitions — no proof possible yet.,Define new types/predicates; formalize in Lean 4 or Coq.

195,Context-dependent measurement basis theorem,Conditional quantum and advanced research path,abstract_passable_proof_obligation,VERIFIED_EXACT,V2.5,CubieQuantumConsentAdvanced.context_dependent_access,CubieQuantumConsentAdvanced.context_dependent_access,PASS,US20240195628A1 Claim 6. Access outcome depends on hierarchy relationship depth.,CUB-0746. Coq+Lean+Verus proofs complete.