Methodology

Corpus and inclusion criteria

A systematic search of arXiv and OpenAlex, extended by three rounds of citation chaining, screened 62,940 records against written inclusion criteria. The 3,056 records that meet them form the corpus that the paper counts, and 1,033 of them are methods. The site shows the records that we annotate in depth: every eligible record of our curated collection, plus every eligible record cited at least 50 times a year. This way, no heavily cited work in scope is missing. 79 curated records fall outside the criteria. They are listed as background and are not counted.

Contribution kinds

Each record has exactly one kind, and only methods count toward a regime. A method is a technical intervention specified precisely enough to reimplement and shown working by its own authors. Both conditions are required, so a governance scheme counts as a proposal until somebody builds and runs it. The grid counts the methods of the corpus, as Figure 2 of the paper does. Of the 192 records annotated here, 80 are methods. Benchmarks, analyses, applications, resources, proposals, and precedents from other disciplines stay indexed, searchable, and attached to their approach, but they are not counted.

Build-out and adherence

We measure two things for each regime and keep them apart: how much of the regime is built, and how much of its tradition the built work carries over. The two are negatively correlated. For example, every approach in Constitutionalism has a working method, but together they carry over only about a fifth of the concepts of Hart, Fuller, and Raz.

Shortfalls and omissions

Each approach is read against the concepts of its tradition, one concept at a time. Each reading also records whether the approach claims the concept. A concept that the approach claims but does not carry over is a shortfall. A concept that it neither claims nor carries over is an omission, which marks a gap in the field rather than a failure of the work.

Checked references

Whether a reference resolves is recorded for each record as a separate field, not inferred from a free-text note. All 192 records are verified against an index.

Sources, concepts, and readings

Behind the 15 regimes are 56 source works from law, political theory, and philosophy, 73 named concepts drawn from them, and 198 readings of an approach against one of those concepts.

Terms

Normative theory

Tradition
A body of theory within a discipline.For example: Constitutionalism; deliberative democracy; legal pluralism
Concept
One constituent of a tradition.For example: Contestability; rule of recognition; amendment
Institution
A real-world arrangement that realizes a tradition’s concepts.For example: Courts; amendment procedures; elections
Function
The role that a concept plays within its institution.For example: Appeal keeps decisions answerable to those affected by them

AI systems

System
The AI system whose behavior is being governed.For example: A deployed LLM assistant
Case
A specific situation in which the system needs to act.For example: A request where being helpful would risk harm
Mechanism
A single technical component of a method.For example: A reward model or a critique-and-revision loop
Method
A concrete technical intervention consisting of one or more mechanisms.For example: Constitutional AI (Bai et al., 2022)
Approach
A group of records that share the same design.For example: Debate before an under-informed judge
Regime
A combination of one locus of norms and one disposition of normative conflict.For example: Contestatory constitutionalism or adversarial proceduralism
Authority over norms
Who may write, interpret, and change a system’s norms. This is the third dimension of our property space. We code it by who supplies the norms in a paper’s experiments.For example: The developer, an external institution, the affected public, or the system itself

Norms

Norm
Any standard guiding a system’s behavior, regardless of its form.For example: Rules, principles, precedents, or character traits
Rule
A norm that is explicitly stated ahead of time.For example: “Do not give instructions for building weapons.”
Principle
A general norm that is part of a written specification.For example: “Choose the most helpful and honest response.”

Normative translation

Normative translation
How a method carries over the concepts of a tradition it draws on.For example: Constitutional AI as a translation of constitutionalism
Preserved / partially preserved / omitted
The degree to which a method carries over a concept: fully, partly, or not at all (coded Present, Partial, and Absent).For example: Constitutional AI preserves codification but omits amendment
Addition
Anything a method contributes beyond what its tradition provides.For example: Self-critique by the model
Shortfall
A concept the method claims to draw on but does not carry over.For example: Claiming contestability without offering any route to appeal
Omission
A concept the method neither claims nor carries over.For example: Amendment in Constitutional AI
Translation gap
A concept of a tradition that is not carried over by the methods drawing on it.For example: Appeal in Constitutional AI
Coverage gap
A regime where there are few or no technical methods.For example: Contested custom