Palgrave Macmillan · Forthcoming 2026

A Structural Ontology
of the Law

David R. Koepsell
SEAL Lab · Texas A&M University

Law is the architecture of social being — sustained through recognition, obligation, and institutional repair. SOoL provides the formal tools to diagnose when that architecture holds, and when it fails.

Minimum Legal Chain (MLC) — 8-Node Validity Test
AUTHORITY
1
Source of Authority
2
Norm
3
Actor in Role
EFFECT
4
Triggering Facts
5
Legal Act / Omission
RECOGNITION
6
Target
7
Legal Effect
REPAIR
8
Remedy
Contradiction Debt (CD) — Structural Instability Measure
0 · Stable3 · Unstable7+ · Collapse
What is SOoL?

Jurisprudence
made structural

Traditional jurisprudence asks whether law is just (natural law), whether a rule is valid (positivism), or what courts will do (realism). Each framework describes one surface of legal life while leaving the underlying architecture unexamined.

SOoL asks a different, more foundational question: does the legal chain close without structural self-defeat? Drawing on Basic Formal Ontology (BFO), it treats legal entities — obligations, roles, institutions, rights — as specifically dependent continuants: real, persistent, and structured by relations of recognition and repair.

"Law is the architecture of being-with — the most visible scaffold of human coexistence."

When the architecture holds, a legal system is structurally coherent, regardless of its moral content. When it accumulates contradiction debt, instability follows — predictably, diagnosably, and in ways that standard legal analysis cannot locate or measure.

I
Recognition
Legal entities depend on acts of mutual recognition between agents. A right, an obligation, a role — none exist without the relational network that sustains them.
II
Obligation
Obligations are specifically dependent continuants — they arise from recognition events and persist as real structural constraints on action, independent of coercion.
III
Repair
Legal systems persist through institutional repair. When contradiction debt accumulates without discharge, structural collapse follows. Repair is the architecture's immune system.
COHERENCE VS. CONTRADICTION — KEY DISTINCTION
COHERENT
MLC closes at all 8 nodes without structural self-defeat. Coherence is structural — not moral.
CONTRADICTORY
One or more contradiction types active. CD accumulates. If unresolved, collapse follows.
Nazi Germany's racial laws (1935) closed at Nodes 1–5 before collapsing at 6–8. SOoL can locate exactly where and why.
Operational Tools

The framework, made usable

Six tools spanning analysis, simulation, teaching, and empirical research — each freely available, each designed to be used without prior knowledge of formal ontology.

§
Interactive · Browser
MLC Chain Auditor
Walk any legal scenario through all 8 MLC nodes. Assess closure status, identify active contradiction types, record analytical notes, and generate a structured SOoL audit report with CD stability rating. Six pre-loaded example cases included.
Simulation · Browser
SimLex
Structural Simulation of Law
Rule of Law Liberal Authoritarian Collapsed
Agent-based simulation of legal systems as MLC populations. Watch agents form and resolve obligations across eight architectural types — from Rule of Law to Collapsed. Track Contradiction Debt, Institutional Resilience Index, and IAT scores in real time. The Science Hub runs formal hypothesis tests (Welch t-tests, lag correlation) to verify SOoL's structural predictions computationally.
Empirical · Browser
Corpus Query Tool
SOoL Empirical Validation · 4,931 Cases
4,931
Annotated cases
14.8×
CD ratio
8
Domains
Interactive query and analysis interface for the SOoL empirical validation corpus — 4,931 federal appellate opinions (1990–2024) across 8 doctrinal domains, annotated with full MLC node closures and contradiction type codes. Eight analysis tabs: Dashboard, Browse, Structural Query, Temporal CD, Node Topology, Structural Analysis, Precedent Impact, and Corpus Quality.
PDF · Printable
Quick-Reference Card
Two-sided A4 landscape reference card. Side A covers the full framework: 8-node MLC with cluster groupings, all 13 contradiction types indexed to chain links, the CD stability scale, the full IAT with five conditions, and SOoL mapped against standard jurisprudence. Side B is a step-by-step auditor guide with all six example cases annotated.
OWL/RDF · Turtle
Unified OWL Ontology
The canonical SOoL kernel ontology in OWL/Turtle format. BFO-grounded: 8 MLC nodes typed as BFO continuants and occurrents, 13 contradiction types as named individuals with CD weights and indexed MLC links, Hohfeldian legal effect hierarchy, IAT agency layer, and system-level coherence diagnostics. 458 triples. Load into Protégé or any OWL reasoner.
DOCX · Teaching
Teaching Package
A self-contained 2–3 hour classroom module for jurisprudence, international law, legal history, or AI & law courses. Includes learning objectives, conceptual overview, structured exercises using the auditor tool, discussion questions calibrated by difficulty, and an assignment brief. Designed for zero-prep adoption.
EMPIRICAL VALIDATION — PHASE III FINDINGS · n = 4,931 Federal Appellate Opinions · 1990–2024
14.8×
CD ratio: protection denied vs. granted
5.89×
Upstream vs. cross-cluster phi ratio
0.933
N7→N8 cascade integrity (phi)
8 / 8
Domains with stable CD rank order
CD predicts case outcomes at a 14.8:1 ratio across 4,931 federal appellate opinions. The domain CD ranking is completely stable across three corpus sizes. The empirical co-occurrence topology of node failures matches the MLC theoretical dependency graph. Explore the full corpus in the Query Tool →
Applied Cases

SOoL at work — six cases

Each case is pre-loaded in the auditor with full node assessments, contradiction selections, and analytical notes. Together they span the full range from structural coherence to collapse-imminent.

For Educators

A module ready to teach

SOoL Teaching Package
Self-contained · 2–3 hours · Zero prep overhead
Conceptual Overview
Framework introduction requiring no prior ontology knowledge. Bridges from standard IRAC to IRAC+.
Guided Exercises
Three structured exercises using the auditor tool. Progresses from closed chain to high-CD failure modes.
Discussion Questions
15 questions at three difficulty levels. Calibrated for JD seminars and undergraduate legal theory courses.
Assignment Brief
Graded assignment: full SOoL audit of a student-selected case, with evaluation rubric.
Suitable for
Jurisprudence International Law Legal History AI & Law Legal Theory Philosophy of Law Constitutional Law
Why it works in the classroom

Jurisprudence courses face a persistent problem: the frameworks feel abstract and disconnected from the doctrinal questions students encounter in every other class. Natural law debates about legitimacy, Hart's rule of recognition, Dworkin's Hercules — these feel like philosophy happening above the law rather than inside it.

SOoL is jurisprudence that is operational. The MLC chain audit asks exactly the questions lawyers already ask — was authority properly conferred? Is the norm determinate? Does the actor have standing? — but gives those questions a formal architecture and a typology of failure modes.

The result is that students don't just learn about jurisprudence. They use it. A student who runs the Nazi Racial Laws through the auditor and watches Nodes 6–8 collapse while Nodes 1–5 close has learned something that no amount of Hart or Dworkin lecture delivers: that the positivist account is insufficient, the natural law account imprecise, and that the real analytic work happens at the structural level.

The teaching package is designed so that a professor can assign it as a standalone module — one reading, one tool session, one discussion — without restructuring an existing syllabus. The auditor generates a report that can be submitted as a graded assignment.

Professors interested in a guest lecture or workshop on SOoL are welcome to reach out directly.

The Book

A Structural Ontology of the Law

A Structural Ontology
of the Law
David R. Koepsell
Palgrave Macmillan
Forthcoming 2026
Resources

The book develops a comprehensive formal ontology of legal systems, drawing on Basic Formal Ontology (BFO), the philosophy of Reinach, Hart, and Dworkin, and the methods of applied ontology used in the biological and information sciences. It argues that law's entities — obligations, roles, institutions, rights — are specifically dependent continuants whose persistence depends on structural coherence rather than moral legitimacy or political authority alone.

Ch. 1
Toward a Structural Ontology of Law
The foundational question
Ch. 2
The Crisis of Jurisprudence
Why existing frameworks fall short
Ch. 3
Structure, Recognition, and Social Reality
BFO + Reinach + structural realism
Ch. 4
Obligation as Dependent Continuant
The ontological core
Ch. 5
Institutions as Role Networks
Courts, legislatures, authority
Ch. 6
Roles and Legal Agency
The IAT framework
Ch. 7
From Brute Fact to Legal Fact
Status functions and recognition
Ch. 8
Property as Relational Continuant
Ownership vs. possession
Ch. 9
Evidence and Epistemic Mediation
Truth in legal proceedings
Ch. 10
Contradiction and Structural Debt
The 13-type typology + CD
Ch. 11
Law, Technology, and AI
OWL/RDF · computational law
Ch. 12
Modeling Legal Systems
IRAC+ · applied SOoL
Concl.
Law as the Architecture of Being-With
Justice and structural coherence
About

David R. Koepsell

David R. Koepsell is a philosopher and attorney whose work spans the philosophy of law, applied ontology, and the ethics of technology. He holds a joint JD and PhD in Philosophy from the University at Buffalo, where he worked under Prof. Barry Smith, one of the founders of Basic Formal Ontology.

He is currently on the faculty of Texas A&M University. His previous books include The Ontology of Cyberspace (Open Court, 2000) and Who Owns You? (Wiley-Blackwell, 2009). He has held positions at Yale Center for Bioethics, Delft University of Technology, and the Universidad Autónoma de México.

A Structural Ontology of the Law grew from a course on Legal Ontology he developed at Texas A&M — and from the conviction that what jurisprudence has always lacked is not another moral or linguistic theory, but an account of law's being.

InstitutionTexas A&M University · SEAL Lab
For Educators & Researchers

If you are considering adopting SOoL in a course, writing about the framework, or interested in applying the ontology in a legal technology context, please reach out directly.

Guest lectures and workshops are available for jurisprudence, legal theory, international law, and AI & law courses.

Contact for Teaching Inquiries
Cite This Work
Koepsell, D.R. (2026). A Structural Ontology of the Law. Palgrave Macmillan.
Ontology IRI: http://seal.tamu.edu/legal-kernel