Koepsell · SEAL Lab · Texas A&M University · Palgrave Macmillan, forthcoming
A Structural Ontology of Law
The Minimum Legal Chain · Thirteen Contradiction Types · Four Structural Clusters
"Law is the architecture of social being — sustained through recognition, obligation, and institutional repair.
A legal effect is valid only when each node of the Minimum Legal Chain closes without structural self-defeat."
Contradictions
0.15
CF
Conferral Failure
N1 → N3
Authority fails to vest the actor in their legal role. Ground of norm-issuance is broken.
0.12
AI
Authority Inflation
N1 → N2
Decision-maker's will displaces the norm. The structural Rule of Law violation.
0.10
JC
Jurisdictional Contradiction
N2 → N6
Two competing normative regimes govern the same situation without a priority rule.
0.07
NI
Norm Indeterminacy
N2
Governing rule too vague for determinate closure. The structural basis of vagueness doctrine.
0.14
RC3
Role Contradiction
N3
Same bearer holds roles generating incompatible obligations for the same act or omission.
0.11
FM
Fact Manipulation
N4
Triggering facts fabricated, suppressed, or rendered indeterminate. Epistemic failure.
0.08
TC
Temporal Contradiction
N2 ↔ N4
Norm and triggering facts in bidirectional temporal misalignment. Retroactive application.
0.09
PC
Procedural Contradiction
N2 → N5
Required act cannot be performed through the norm's own procedure. Structural catch-22.
Authority Cluster · Nodes 1–3
NODE 1
Source of Authority
The constitutional, statutory, or institutional ground of norm-issuance
BFO: Realizable Dependent Continuant
NODE 2
Norm
The specific rule or standard issued; must be determinate and non-contradictory
BFO: Specifically Dependent Continuant
NODE 3
Actor in Role
The agent properly vested in the norm-governed capacity; bearer of the obligation
BFO: Role (Specifically Dependent Continuant)
· · ·
Effect Cluster · Nodes 4–5
NODE 4
Triggering Facts
Circumstances activating the norm; must be established and determinate
BFO: Process + Information Artifact
NODE 5
Legal Act / Omission
The conduct that instantiates the trigger; procedurally valid performance
BFO: Process
· · ·
Recognition Cluster · Nodes 6–7
NODE 6
Target
The party upon whom the legal effect is directed; must retain legal subjecthood
BFO: Specifically Dependent Continuant
NODE 7★ PIVOTAL
Legal Effect
The normative consequence — right, duty, power, liability — that attaches. Primary failure node in 67% of reversals.
BFO: Realizable Dependent Continuant
· · ·
Repair Cluster · Node 8
NODE 8
Remedy
The mechanism for restoring structural coherence on breach; must be accessible and effective
BFO: Process + Realizable Dependent Continuant
Contradictions
0.11
RF
Recognition Failure
N6 / N7
Target or legal effect denied required recognition. The asserted right is not acknowledged.
0.18
RCL
Recognition Collapse
N6 → N8
Subjecthood stripped while enforcement of obligations continues. Civil death. Highest CD weight.
0.14
CC
Correlativity Contradiction
N7
Right claimed without the Hohfeldian correlative duty honored by the obligated party.
0.10
SE
Self-Undermining Effect
N7
Legal effect destabilizes the structural conditions required for its own persistence.
0.13
RPF
Repair Procedure Failure
N8
Remedy structurally available but blocked, inaccessible, or procedurally foreclosed.
Diagram Key
Connection Type
Primary connection — CT fires directly at this node
Secondary connection — CT spans or propagates across nodes
Cluster Colour
Authority — Nodes 1–3: Source, Norm, Actor
Effect — Nodes 4–5: Facts, Act/Omission
Recognition — Nodes 6–7: Target, Legal Effect
Repair — Node 8: Remedy
Node Closure
closed — node fully satisfied; chain continues
failed — node not satisfied; chain breaks here
partial — node under structural stress
indeterminate — cannot be determined from text
Reading the Chain
The chain is read top to bottom. Each CT on the left column attaches to nodes via lines running right. Each CT on the right column attaches via lines running left. A CT fires when its indexed node(s) fail or partially close, adding its weight to the CD score.
Contradiction Debt
CD is SOoL's quantitative measure of structural ontological instability — a scalar sum of weighted contradiction type activations. CD is diagnostic, not moral: a clean chain may produce an unjust outcome; a contradictory chain may pursue just ends.
CD = Σ w(CTᵢ) for all active CTᵢ
Theoretical max CD ≈ 1.52
AUC (CD → outcome) = 0.9985 civil
CD ratio denied / granted = 16.9×
Rule of Law as Structural Condition
The Rule of Law is the structural condition under which N2 (Norm) maintains ontological independence from N1 (Source of Authority). When N1 displaces N2, Authority Inflation fires. Regimes violating this condition have diseased law — high unresolvable CD — not an absence of law.
Rule of Law ≡ N2 ⊥ N1
AI fires when N1 absorbs N2
Authoritarian signature: AI + RCL + RPF
Structural diagnosis, not moral verdict
Irreversible Accountability Test (IAT)
The IAT assesses genuine normative agency via five conditions: standing in a legally recognised role; attributable breach; enduring non-resettable residue; repair capacity; and counterfactual control. Current AI systems satisfy neither the residue nor the counterfactual conditions.
IAT: standing ∧ attribution
∧ residue ∧ repair ∧ control
Grounded in OWL / RDF / BFO
seal.tamu.edu/legal-kernel