Memo 01 — Political Systems as Norm-Generating Machines

Series: The Landscape of Normative Systems (LNS) Series ID: LNS Memo number: 01 Primary JD questions: Q6 (how political systems generate law), Q7 (relations among Politics/Law/Power/Legitimacy/Authority). Secondary: Q1, Q2, Q4. Status of D0: Immutable. Referenced as a frozen interface; not modified, criticized, or defended in this memo.

Scope note

This memo treats the political system as a norm-generating machine: a device that takes some set of inputs (proposals, preferences, claims of authority) and emits norms — primarily the class of norms called law — through a characteristic aggregation/decision function, on a characteristic update cadence, under a characteristic legitimacy claim, and with a characteristic enforcement path and mutation mechanism. The memo compares ten families of political system (democracy, constitutional republic, authoritarian systems, communism/one-party states, monarchy, theocracy, tribal systems, federations, the European Union, and international organizations) along computational dimensions, provides a comparison table, and develops the Politics -> Constitution -> Law sub-graph that Memo 12 extends. It applies the six-part per-source analysis (origin / legitimacy / enforcement / mutation / hierarchy / conflicts / computational implications) to political authority as a source. It is strictly descriptive: it characterizes computational behavior and refrains from ranking systems or expressing political preference, per §0.7 of the conventions. Deeper treatment of international organizations and the EU continues in Memo 08; jurisprudential machinery (Hart, Dworkin) is in Memo 02; mutation dynamics and feedback loops in Memo 09.

1. Framing: the political system as a machine

We adopt a deliberately mechanical vocabulary. This is a modeling choice under M4 (natural language is presentation; we seek computational objects beneath it), not a metaphysical claim that political systems are nothing but machines.

A norm-generating machine NGM is characterized by the tuple:

$$\text{NGM} = \langle\, I,\ S,\ A,\ C,\ L,\ E,\ M,\ H \,\rangle$$

INFERENCE Every political system can be described by instantiating this tuple. This is an organizing hypothesis for the memo, not a proven completeness result; its adequacy is stress-tested in Memo 10 (taxonomy) and Memo 11 (threats).

Three cross-cutting distinctions from the shared vocabulary (§0.6) are load-bearing throughout:

• Validity — formal membership of a norm in the system (did A fire correctly?).
• Legitimacy — subjects treat the output as binding independent of immediate coercion (L).
• Efficacy — actual compliance in the world (a property of E plus society).

FACT These three can dissociate: a norm can be valid but not efficacious (dead-letter law), efficacious but not legitimate (compliance from fear), or legitimate but invalid (a widely accepted practice not yet formalized). The tri-partite distinction is standard in general jurisprudence and is developed in Memo 02. INFERENCE For a compiler, these are three separate observables that must not be collapsed into one "is-in-force" bit.

1.1 What "generate a law" means here

INFERENCE "Generating a law" is the event in which the machine's aggregation function A fires and commits a new norm (or repeals/edits one) into state S with a validity stamp. The content of the law lives above the kernel (Memo 08, JD Q8); what this memo characterizes is the production process — the control flow of the machine — which is comparatively more content-neutral and therefore of direct interest to D1/D2.

2. Established consensus

Claims in this section are broadly agreed within comparative politics, constitutional theory, and general jurisprudence. They are tagged individually; consensus does not upgrade a claim past what its evidence supports.

2.1 On sources and law-production

• FACT Modern states produce law through a small number of recurring organs: a constituent power (which makes/changes the constitution), a legislative function (which makes ordinary law), an executive function (which applies and issues subordinate norms), and an adjudicative function (which resolves disputes and, in many systems, interprets norms). The separation of these into distinct organs is a design variable, not a universal.
• FACT The distinction between constituent power (the power to make a constitution) and constituted power (powers created by the constitution) is standard in constitutional theory. INFERENCE Computationally this is the distinction between editing the machine's own definition (M acting on A) versus running the machine (A acting on S).
• FACT Most functioning legal systems exhibit a hierarchy of norms (constitution > statute > regulation > individual act), a structure most explicitly associated with the position of Hans Kelsen (the Stufenbau / hierarchy of norms). Kelsen's further claim of a presupposed Grundnorm (basic norm) grounding validity is more contested and is treated in Memo 02.
• FACT The idea that a legal system rests on accepted secondary rules (rules about how to make, change, and adjudicate rules), distinct from primary rules (rules of conduct), is the position associated with H. L. A. Hart. INFERENCE Hart's "rule of recognition" is, computationally, the system's validity predicate — the function that decides whether a candidate norm is a member of the system.

2.2 On legitimacy, authority, and power (JD Q7 primitives)

• FACT A widely used typology of legitimate authority distinguishes traditional, charismatic, and legal-rational grounds; this typology is associated with Max Weber. INFERENCE These correspond to three different L values (authority-because-it-has-always-been, authority-because-of-this-person, authority-because-the-rules-were-followed).
• FACT Weber's influential characterization of the modern state includes the claim to a monopoly on the legitimate use of physical force within a territory. INFERENCE This is a statement about E (enforcement path): the state claims to be the root of a single enforcement tree over a territory.
• INFERENCE Power, authority, legitimacy, and trust are distinct: power is the capacity to affect outcomes; authority is a recognized standing to issue binding norms; legitimacy is the property that makes authority accepted without per-instance coercion; trust is an expectation about future behavior that lowers enforcement cost. They are related but not reducible to one another (dependency sketch in §7). This decomposition is broadly shared though the exact definitions are contested (Memo 06, Memo 09).

2.3 On aggregation and its limits

• FACT Arrow's impossibility theorem shows that no aggregation function from individual rankings over three or more alternatives to a social ranking can simultaneously satisfy unanimity (Pareto), independence of irrelevant alternatives, non-dictatorship, and unrestricted domain. This is a formal (proven) result.
• FACT The Gibbard–Satterthwaite theorem shows that any non-dictatorial, onto voting rule over three or more alternatives is manipulable (strategy-proofness fails). Formal result.
• FACT The Condorcet paradox: majority preference can be cyclic (A > B > C > A) even when individual preferences are transitive. Formal result.
• FACT May's theorem: for two alternatives, majority rule is the unique rule satisfying anonymity, neutrality, and positive responsiveness. Formal result. INFERENCE Two-option aggregation is well-behaved; the pathologies are a property of three-or-more-option domains.
• INFERENCE Therefore any political system whose A is a preference-aggregation vote inherits these limits: its output is not guaranteed to be a coherent social ordering, is manipulable, and may be intransitive. This is a structural property of the machine, independent of ideology, and is one of the most important facts this memo hands to D1/D2.

2.4 On feasibility of computing the whole thing

• FACT The position associated with Friedrich Hayek (the "knowledge problem") holds that the information required to coordinate a society is dispersed, local, and often tacit, so no central computer can in principle assemble it. Whether this refutes computable governance is contested and is argued in Memo 11; here it is logged as a consensus-level constraint on any centralizing design. OPEN The exact boundary between "coordinable by explicit computation" and "only coordinable by distributed process" is unresolved.

3. The ten families of political system

Each subsection instantiates the NGM tuple. Descriptions are of idealized types; FACT real states are hybrids and rarely instantiate one type purely. Tags apply to the descriptive claims; normative/ranking claims are deliberately absent (§0.7).

3.1 Democracy (direct / representative)

• Input set I. FACT In the idealized type, standing to trigger norm production is distributed across the enfranchised population (directly, or via elected representatives). Standing to propose is usually narrower (elected legislators, sometimes citizens via initiative) than standing to select among proposals (the electorate).
• Aggregation A. FACT Majority or plurality voting, at two levels: (i) periodic election of representatives, (ii) legislative voting on bills. INFERENCE A is a preference-aggregation function and therefore inherits Arrow/Gibbard–Satterthwaite/Condorcet limits (§2.3).
• Cadence C. FACT Mixed: periodic at the electoral layer (fixed or bounded terms), event-driven at the legislative layer (bills fire when tabled and scheduled).
• Legitimacy L. FACT Legal-rational in Weber's typology, grounded in a claim of popular sovereignty / consent of the governed. INFERENCE The binding-ness claim is procedural: "the correct procedure was followed by representatives you selected."
• Enforcement E. FACT Executive and judicial branches under law; ultimately the state's coercive apparatus. INFERENCE Enforcement is nominally subordinate to the same norm hierarchy it enforces (self-referential control).
• Mutation M. FACT Election (replaces personnel and thus the input weighting), legislation (edits ordinary norms), amendment (edits the constitution), judicial reinterpretation (edits meaning without editing text). INFERENCE Democracy is distinctive in having a scheduled, non-violent mutation channel (election) built into M.
• Hierarchy H. FACT Constitution > statute > regulation > individual act; the electorate sits structurally "above" the legislature via the election edge.
• Computational signature. INFERENCE Non-deterministic output (same inputs, different coalitions → different law); moderate-to-high latency; high reversibility (later majorities can repeal); veto structure varies (unicameral vs bicameral, presidential veto). Its defining feature is a periodic, low-violence error-correction channel (throw the authors out).

3.2 Constitutional republic

Treated separately from bare democracy because the distinguishing feature is computational, not merely nominal.

• Input set I. FACT As in representative democracy, but with entrenched constraints that remove certain outputs from the reach of ordinary A.
• Aggregation A. FACT Legislative voting plus a validity filter: a constitutional-review function (judicial review in many, but not all, republics) that can reject an otherwise validly-passed statute for inconsistency with the higher norm. INFERENCE This is a type-checker layered on top of the vote: A = vote, then validate_against(constitution).
• Cadence C. FACT Legislation event-driven; constitutional amendment on a deliberately slower, higher-threshold cadence (supermajorities, multi-stage ratification, sometimes time delays).
• Legitimacy L. FACT Legal-rational plus constitutional entrenchment: some norms are claimed to bind even transient majorities.
• Enforcement E. FACT As democracy, plus courts empowered to void invalid norms. INFERENCE Adds an internal enforcement path against the legislature itself.
• Mutation M. FACT Two-speed: fast (statute) and slow (amendment). Judicial reinterpretation is a third, text-preserving channel.
• Hierarchy H. FACT Sharpened constitution > statute ordering with an active organ policing the boundary.
• Computational signature. INFERENCE The key difference from §3.1 is an explicit two-tier mutation rate and a validity predicate with teeth. Reversibility is asymmetric: ordinary law is easily reversible, entrenched norms deliberately are not. This is the clearest real-world instance of the constituent/constituted (edit-the-machine vs run-the-machine) split.

3.3 Authoritarian systems

• Input set I. FACT Narrow: a ruler, ruling clique, junta, or dominant party holds effective standing to propose and decide. Formal channels (legislatures, courts) may exist but are subordinate. INFERENCE I is small and not derived from a broad selection procedure.
• Aggregation A. FACT Decree / command; where a legislature exists it typically ratifies rather than deliberates. INFERENCE A approximates a single-writer function: low aggregation cost, no cyclic-majority pathology (§2.3 does not bite because there is effectively one preference order).
• Cadence C. FACT Event-driven and fast: a decree can issue at will. No mandatory periodic reselection of the top input node.
• Legitimacy L. INFERENCE Variable: may claim performance/order, nationalism, tradition, or charismatic grounds; the legal-rational claim is weaker because the procedure does not constrain the top input.
• Enforcement E. FACT Coercive apparatus directed by the ruler; courts as instruments rather than checks in the idealized type.
• Mutation M. INFERENCE Lacks a scheduled non-violent turnover channel; the characteristic mutation events are succession crises, coup, purge, or negotiated transition — i.e., mutation is often out-of-band and higher variance.
• Hierarchy H. FACT Formally a norm hierarchy may be published; in practice the ruler's will can override any level. INFERENCE The effective top of H is a person/clique, not a document.
• Computational signature. INFERENCE Low latency, high determinism given the ruler's preference, low reversibility through legal channels, weak or absent internal error-correction (few institutional feedback edges that can overrule the top node). Failure modes are concentrated: the machine is only as reliable as its single writer.

3.4 Communism / one-party states

Kept distinct from generic authoritarianism because the architecture of the input node differs. Described structurally, not evaluatively.

• Input set I. FACT A single party holds a constitutionally or practically guaranteed leading role; standing to propose norms runs through party organs. INFERENCE I is the party's internal selection process, which may itself be competitive inside the party while closed to the outside.
• Aggregation A. FACT The organizing principle often invoked is democratic centralism (debate internally, then bind all to the decided line). INFERENCE Computationally: internal aggregation (possibly a vote or consensus among cadres) followed by a broadcast with mandatory downstream compliance — an aggregate-then-lock pattern.
• Cadence C. FACT Party congresses and plenums on a periodic schedule; directives event-driven between them. INFERENCE Two cadences: slow doctrinal updates (congress) and fast operational directives.
• Legitimacy L. INFERENCE Grounded in a claim to represent a class, historical direction, or vanguard role — a substantive (outcome/telos) claim rather than a procedural-consent claim.
• Enforcement E. FACT State apparatus plus party discipline over its members; a dual enforcement tree (state law + party rules).
• Mutation M. INFERENCE Line changes via congress decisions and leadership succession within the party; constitutional text may be stable while the interpretive line mutates. Out-of-band mutation (factional struggle) also occurs.
• Hierarchy H. FACT Party stands above or fused with state organs; where fused, the party's decisions are the effective apex of H.
• Computational signature. INFERENCE Medium latency for doctrine, low for directives; high determinism once the line is set; error-correction is internal to the party rather than via public reselection, giving a different (not necessarily weaker per se) feedback topology than §3.3 — the key variable is whether the party's internal channel can overrule its own apex.

3.5 Monarchy (absolute and constitutional)

• Input set I. FACT In absolute monarchy, standing concentrates in the monarch; in constitutional monarchy, the monarch's law-making standing is largely ceremonial and the effective I is a parliament. INFERENCE The two sub-types are computationally closer to §3.3 (absolute) and §3.1–3.2 (constitutional) respectively; the distinguishing constant is the succession rule.
• Aggregation A. FACT Absolute: royal decree. Constitutional: legislative vote with royal assent as a (usually non-blocking) formal step.
• Cadence C. FACT Decree event-driven; the office itself updates on a hereditary/lifetime cadence rather than an electoral one.
• Legitimacy L. FACT Traditional in Weber's typology; historically often supplemented by a divine-right claim (revelation-adjacent; see §3.6 and Memo 04).
• Enforcement E. FACT Crown's officers and courts; in constitutional monarchy, the ordinary state apparatus under law.
• Mutation M. FACT Hereditary succession is the defining mutation channel for the office; abdication, regency, and (out-of-band) deposition are variants. Norm content mutates by decree or, in constitutional forms, by statute.
• Hierarchy H. FACT Absolute: monarch at apex. Constitutional: constitution/ parliament at apex, crown as a constituted (often symbolic) organ.
• Computational signature. INFERENCE The salient feature is a deterministic, low-latency succession function (a rule mapping a death/ abdication event to the next office-holder) that removes the "who decides next" question from contestation — trading electoral error-correction for succession-predictability. Reversibility and internal error-correction track whichever sub-type applies.

3.6 Theocracy

• Input set I. FACT Standing to propose/validate norms is held by religious authorities or is claimed to derive from a sacred text or divine will. INFERENCE I includes a non-human "author" (the divine source) whose will is mediated by interpreters; the human input set is the class of authorized interpreters (clergy, jurists, councils).
• Aggregation A. FACT Revelation-mediated: norms are derived by interpreting authoritative sources (scripture, tradition) via a scholarly or clerical method. INFERENCE Computationally this is closer to derivation from a fixed corpus than to aggregation of present preferences — an inference engine over a canonical knowledge base, not a vote over options. See Memo 04.
• Cadence C. INFERENCE The source corpus is typically treated as closed/ fixed (slow-to-immutable); the interpretation updates event-driven as new questions arise (rulings, fatwas, responsa).
• Legitimacy L. FACT Grounded in divine authority / sacred mandate — a substantive-transcendent claim distinct from both consent and tradition, though Weber would file charismatic and traditional elements here.
• Enforcement E. FACT Religious courts and/or the state acting as the religion's enforcement arm; also strong internalized enforcement (conscience, community sanction). INFERENCE Enforcement blends coercive and internalized channels more heavily than secular types.
• Mutation M. INFERENCE The text is hard to mutate (canon closure); change enters through reinterpretation, new authoritative rulings, or schism. This makes theocracy's mutation profile distinctive: near-immutable base layer, mutable interpretation layer.
• Hierarchy H. FACT Sacred source at apex, then authoritative interpretation, then derived rules; where fused with a state, religious norm outranks or constrains secular statute.
• Computational signature. INFERENCE The base corpus behaves like a read-only root of the hierarchy; the system's dynamics live in an interpretation layer. This is the political-system instance of the "revelation" generator that Memo 04 and Memo 10 formalize.

3.7 Tribal systems

• Input set I. FACT Standing is distributed by kinship, seniority, earned standing, or council membership; forms vary enormously across societies. INFERENCE I is defined by social position rather than by a formal enfranchisement rule.
• Aggregation A. FACT Frequently consensus or elder/council deliberation rather than counted majority voting; some systems use a chief's decision bounded by custom. INFERENCE A is often a consensus-detection process (continue deliberating until no sustained objection) rather than a threshold vote — different failure modes (deadlock/exit rather than cyclic majorities).
• Cadence C. INFERENCE Event-driven, convened when a dispute or decision arises; no fixed legislative calendar in the idealized type.
• Legitimacy L. FACT Traditional/customary; norms bind because "this is how it has always been done" and because the community recognizes the deciders.
• Enforcement E. FACT Social sanction, reciprocity, restitution, ostracism, kin-group responsibility; often restorative rather than centrally coercive. INFERENCE Enforcement is decentralized across the community, not monopolized.
• Mutation M. INFERENCE Slow customary drift plus occasional explicit reform by councils; norms change as practice changes (desuetude/new custom).
• Hierarchy H. INFERENCE Often flat or shallow; custom is the apex and is not obviously "below" any written document. Where embedded in a modern state, tension arises between customary and state hierarchies (§5, and Memo 06).
• Computational signature. INFERENCE Consensus aggregation, high legitimacy-per-norm (buy-in is built into production), low throughput, strong reliance on internalized/decentralized enforcement, mutation by drift. This is the clearest political instance of the "convention/custom" generator (Memo 06).

3.8 Federations

Federations are not a fourth branch but a composition operator: they compose multiple NGMs (member units) with a shared one (the federal level).

• Input set I. FACT Two or more orders of government each with their own I, plus a rule allocating competences (which order may legislate on what).
• Aggregation A. FACT Each order runs its own A; a conflict rule (e.g., federal-supremacy-within-enumerated-powers, or the reverse presumption) resolves overlaps. INFERENCE The distinctive computational object is the competence-allocation function plus a conflict-resolution predicate, not the vote itself.
• Cadence C. INFERENCE Each order has its own cadence; the composition adds a slower cadence for altering the division of powers (often constitutional amendment requiring member-unit consent).
• Legitimacy L. FACT Dual: legitimacy claimed at both the federal and member level, sometimes with the members as the original constituent parties.
• Enforcement E. FACT Each order enforces its own norms; an umpire (often a constitutional court) polices the boundary. INFERENCE Adds a jurisdiction-routing step before enforcement.
• Mutation M. FACT Ordinary mutation within each order; structural mutation (re-allocating competences) via constitutional amendment, secession (out-of-band), or accretion of practice.
• Hierarchy H. FACT Partial order, not a total order: federal norm outranks member norm within federal competence, and vice versa outside it. INFERENCE H is a scoped/partial ordering — a key structural fact for D1/D2 because it breaks the single-total-hierarchy assumption.
• Computational signature. INFERENCE Federations demonstrate that norm hierarchy is not globally total; conflict resolution is scope-dependent; and error-correction can occur at the boundary (courts) as well as within each order. This is the bridge to §3.9–3.10 and Memo 08.

3.9 The European Union (supranational, sui generis)

• Input set I. FACT Multiple: the Commission (near-monopoly on proposing most legislation), the Council (member-state governments), the European Parliament (directly elected), plus the member states as treaty masters. INFERENCE Standing to propose and standing to decide are split across distinct organs more sharply than in a typical state.
• Aggregation A. FACT The ordinary legislative procedure couples Council and Parliament as co-legislators on a Commission proposal; Council voting uses qualified-majority in many areas and unanimity in others. INFERENCE A is a multi-body co-decision with area-dependent thresholds — a mixture of qualified-majority aggregation and unanimity vetoes.
• Cadence C. FACT Ordinary legislation event-driven; treaty change on a much slower cadence requiring unanimous member ratification.
• Legitimacy L. FACT Dual/contested: derived both from member-state consent (treaties) and from the directly elected Parliament. OPEN The adequacy of EU democratic legitimacy is a live scholarly debate (the "democratic deficit" literature); this memo logs the dispute without adjudicating it (§0.7).
• Enforcement E. FACT Primarily indirect: member states implement and enforce; the Court of Justice ensures uniform interpretation and can find member states in breach; EU law has primacy over conflicting national law and, for regulations, direct effect. INFERENCE Enforcement is a two-layer path: supranational norm → national implementation → national coercion, with a supranational court policing conformity.
• Mutation M. FACT Ordinary legislation, plus treaty amendment (unanimity + ratification), plus judicial development by the Court. Accession and withdrawal change the member set. INFERENCE The member set itself is a mutable input.
• Hierarchy H. FACT EU primary law (treaties) > EU secondary law (regulations/directives) > national law within conferred competences; the principle of conferral limits the EU to competences the members granted. INFERENCE Like a federation, H is scoped, but the enforcement layer is more heavily delegated to members.
• Computational signature. INFERENCE A sui-generis hybrid: multi-writer co-decision, area-dependent veto structure (unanimity vs QMV), scoped hierarchy with primacy inside scope, and delegated enforcement. It is the richest real-world example of composing sovereign NGMs without a single coercive root. Continued in Memo 08.

3.10 International organizations and international law

• Input set I. FACT States are the primary norm-authors (via treaties and, more slowly, custom); some organizations admit other actors. Standing to bind is generally grounded in consent — a state is typically bound by what it has agreed to.
• Aggregation A. FACT Several distinct generators coexist: (i) treaty (contract-like mutual consent), (ii) custom (general and consistent state practice accepted as law — opinio juris), (iii) general principles, and (iv) organizational decisions (e.g., a security body's binding resolutions in narrow domains). INFERENCE Computationally these are different generators: contract, convention/custom, and authority-decision — the same generators catalogued in Memo 10, here operating between states.
• Cadence C. INFERENCE Treaties event-driven (negotiate/ratify); custom very slow (accretes over time); organizational decisions event-driven.
• Legitimacy L. FACT Consent-based for treaties; for custom, grounded in general practice plus acceptance-as-law. INFERENCE Legitimacy is thinner than domestic legitimacy because there is no overarching sovereign.
• Enforcement E. FACT Characteristically weak and decentralized: reciprocity, reputation, countermeasures, dispute-settlement bodies with consent-based jurisdiction, and (rarely) collective enforcement. No general world police. INFERENCE E is the defining limitation — validity/legitimacy can be high while efficacy depends on self-help.
• Mutation M. FACT New treaties, treaty amendment/withdrawal, evolving custom, reinterpretation by tribunals. INFERENCE Slow and consent-gated.
• Hierarchy H. FACT Largely flat/horizontal among sovereign equals, with narrow exceptions (peremptory norms — jus cogens — claimed to override conflicting agreements; certain charter obligations claimed to prevail). INFERENCE Mostly no vertical hierarchy; conflict handled by consent and specialized priority rules rather than a supremacy clause.
• Computational signature. INFERENCE Consent-gated inputs, multiple generators, near-flat hierarchy, and weak enforcement — the limiting case where a norm system has validity and (some) legitimacy but structurally thin efficacy. This makes it the best stress-test of any assumption that norms come with enforcement attached. Continued in Memo 08.

4. Comparison table along computational dimensions

Dimensions: Input set (breadth of standing), Aggregation function, Determinism (same inputs → same output?), Latency (input-to-committed-norm), Reversibility (ease of repeal through in-band channels), Veto structure, Error-correction (in-band channel to overrule a bad output/author).

INFERENCE All cells describe the idealized type and are relative, ordinal judgments about mechanism, not measurements and not evaluations of merit (§0.7). Real systems are hybrids (§3 preamble).

Notes:

INFERENCE Reading the table structurally rather than politically, three orthogonal axes emerge:

1. Width of the input set (single-writer → multi-writer → whole-population).
2. Aggregation type (decree / vote / consensus / revelation-mediated / consent-contract) — these are genuinely different functions, not points on one scale.
3. Presence and speed of an in-band error-correction channel (from "none, only coup/succession" to "scheduled election + judicial review").

HYPOTHESIS These three axes may be closer to the "computational primitives" of political norm-generation than the traditional regime-type labels are, because regime labels bundle content (ideology) with mechanism, whereas the axes isolate mechanism. This is offered for the taxonomy work in Memo 10, not asserted.

5. The Politics -> Constitution -> Law sub-graph

This is the core dependency structure JD Q4 asks the series to build; Memo 12 extends it downward (Regulation → Procedure → JD → KPI) and Memo 09 adds the feedback edges. Here we give the upper sub-graph with its edge semantics.

Edge semantics (the load-bearing part for D1/D2):

• INFERENCE CONSTITUTES is the only edge that edits the machine itself (M on A, I, H). Everything else runs the machine. Distinguishing these two edge types — edit-the-rules vs apply-the-rules — is the single most important structural invariant in this sub-graph.
• FACT /INFERENCE AUTHORIZES/CONSTRAINS carries two signs at once: it grants a power (Hohfeldian power) and simultaneously imposes a disability outside the granted scope. A faithful representation must carry both the positive grant and its boundary; dropping the boundary is a common informal error.
• INFERENCE LEGISLATES is the firing of A; its output is valid iff it passed the authorized procedure — validity is a property of the edge traversal, not of the content.
• INFERENCE The validity-check edge (constitutional review) is a feedback arrow within the production pipeline: it lets the system reject its own outputs. Systems lacking it (some in §3) have no in-pipeline type-checker.

FACT Not every system instantiates every node: pure §3.3/§3.5-absolute systems collapse ELECTORATE and much of CONSTITUTION into the ruler node; §3.6 replaces CONSTITUENT POWER with a sacred source treated as read-only; §3.8–3.10 replicate the LAW node across multiple scoped hierarchies joined by conflict rules. INFERENCE The graph is therefore a template; each regime type is a specific wiring (or short-circuit) of it.

6. Six-part analysis: political authority as a source

Per JD Q2 and the conventions, each source treated in the series receives the six-part analysis. Here the source is political authority — the general capacity of a political system to emit binding norms. (Constitutions, legislation, and treaties are specific instruments of this source; other sources — revelation, contract, custom, science — are the subject of Memos 04–06.)

6.1 Origin

• FACT Political authority is claimed to originate in a constituent act: founding, revolution, conquest, negotiated settlement, or gradual accretion of recognized practice. INFERENCE Whatever the historical trigger, the computational origin is the establishment of a rule of recognition (Hart) / an accepted validity predicate — the moment a population begins treating outputs of some procedure as binding.
• OPEN Whether the first rule of recognition can be given any non-circular ground (the Grundnorm problem, Memo 02) is unresolved. For D1/D2 the origin can be treated as a given axiom of the instance, not something the compiler derives.

6.2 Legitimacy

• FACT Legitimacy claims fall into recurring families (Weber: traditional / charismatic / legal-rational; plus consent-based and outcome/telos-based claims seen in §3). INFERENCE Legitimacy is an observable about subjects' dispositions, not a property derivable from the norm's text — a norm can be valid without being legitimate.
• INFERENCE Legitimacy is what lets E (enforcement) run cheaply: high legitimacy ⇒ high voluntary compliance ⇒ lower coercion cost. This links L and E quantitatively (developed as a feedback loop in Memo 09).
• OPEN There is no agreed metric for legitimacy; it is inferred from compliance, survey, and revealed behavior, all imperfect. D1/D2 must treat legitimacy as an exogenous, measured input, not a computed output.

6.3 Enforcement mechanism

• FACT The characteristic enforcement claim of the modern state is a territorial monopoly on legitimate force (Weber). INFERENCE Enforcement is a tree rooted at the state's coercive apparatus, with detection (courts, agencies, reporting) and consequence (sanction) stages.
• FACT Enforcement strength varies by regime (§3): strong-centralized (state types), dual (party + state), decentralized-social (tribal), delegated (EU), and weak-horizontal (international). INFERENCE Enforcement is therefore not intrinsic to a norm; it is a separate subsystem that a given norm may or may not be wired to. This is a central invariant for the interface (Memo 12).

6.4 Mutation mechanism

• FACT Political authority mutates through: election (personnel/weights), legislation (ordinary norms), amendment (higher norms), judicial reinterpretation (meaning without text), coup/revolution (out-of-band replacement of the machine), and succession (hereditary/office transfer).
• INFERENCE These divide cleanly into in-band mutations (authorized by the current rule of recognition: election, legislation, amendment, interpretation) and out-of-band mutations (revolution, coup — which install a new rule of recognition). The in-band/out-of-band line is exactly the constituted/constituent line of §5. INFERENCE A compiler can model in-band mutation; out-of-band mutation is a discontinuity that resets the instance rather than a transition within it.

6.5 Hierarchy

• FACT Political-authority norms are typically ordered constitution > statute > regulation > individual act (§2.1, Kelsen). FACT In federations, the EU, and international law the order is partial/scoped, not total (§3.8–3.10).
• INFERENCE Two hierarchy facts must survive to D1/D2: (i) hierarchy is a conflict-resolution ordering (it tells you which norm wins when two collide), and (ii) it is not always total — scoped/partial orders and peremptory-norm exceptions exist. Assuming a single global total order is a modeling error the survey specifically warns against.

6.6 Conflicts

• FACT Conflicts among political-authority norms are resolved by standard priority rules: lex superior (higher beats lower), lex posterior (later beats earlier, same level), lex specialis (specific beats general). INFERENCE These are deterministic tie-break functions over the norm set — among the most directly formalizable objects in the whole survey.
• FACT Conflicts between systems (federal/member, EU/national, international/ domestic) are resolved by scope + supremacy/primacy rules, or left genuinely unresolved where sovereigns disagree (§3.10). OPEN Cross-system conflict without a shared apex (e.g., two sovereigns each claiming priority) has no algorithmic resolution; it is settled by power, negotiation, or not at all. This is a hard limit any honest compiler must expose rather than paper over.
• INFERENCE Conflicts also arise between validity and legitimacy (a valid norm the population rejects) and validity and efficacy (a valid norm nobody obeys). These are not resolvable by priority rules; they are signals that must be surfaced, not silently collapsed.

6.7 Computational implications (of political authority as a source)

• INFERENCE Political authority contributes to the interface: a validity predicate (rule of recognition), a set of generators (A: vote / decree / consensus / revelation-mediated / consent-contract), a cadence, a conflict-resolution ordering (possibly partial), separable enforcement and legitimacy channels, and a distinction between in-band and out-of-band mutation.
• INFERENCE The generators are heterogeneous: a vote and a decree and a consensus process are different functions with different determinism, manipulability, and failure modes. A representation that models only "a norm was enacted" and discards which generator produced it loses information D1/D2 needs (e.g., to know whether Arrow-type instability applies).
• OPEN Whether all political generators can be reduced to one canonical generator with parameters, or whether they are irreducibly distinct, is an open taxonomy question for Memo 10.

7. Relations among Politics / Power / Legitimacy / Authority / Trust / Law (JD Q7, political slice)

JD Q7 asks for the relations among a larger set (Politics, Law, Ethics, Religion, Culture, Economics, Markets, Technology, Organizations, Power, Legitimacy, Authority, Trust, Incentives). This memo owns the political core of that graph; Ethics→Memo 03, Religion→Memo 04, Economics/Markets→Memo 05, Culture/Society→Memo 06, Organizations→Memo 07, and the full merged graph→Memo 12.

Political core dependency sketch (arrows read "contributes to / conditions"):

Read-outs (all INFERENCE unless noted):

• Power vs authority. INFERENCE Power is pre-normative capacity; authority is power that is recognized as entitled. Power without legitimacy can enforce but must pay full coercion cost; authority is power made cheap by legitimacy.
• Legitimacy vs validity vs efficacy. FACT , per §0.6 Three distinct properties; the diagram shows legitimacy feeding compliance (efficacy) and compliance feeding back into trust and thus into future legitimacy — a loop (formalized in Memo 09).
• Trust as an enforcement discount. INFERENCE Higher trust ⇒ lower expected enforcement cost for the same efficacy. Trust is thus an economic parameter of the enforcement subsystem, not a free-floating virtue.
• Law as output, Politics as producer. INFERENCE Law is the committed output; Politics is the process; the constitution is the program that configures the process (§5).

HYPOTHESIS The political core reduces to four separable observables — a capacity channel (power), a standing predicate (authority = power + legitimacy recognition), an acceptance measure (legitimacy/trust), and a production function (politics → law). If separable, D1/D2 can model each with a distinct type. Offered for Memo 12, not asserted.

8. Competing theories (presented without adjudication)

Per §0.5, live disagreements are logged, not resolved. Attribution follows §0.4 (name a position only when safe).

• What law fundamentally is. FACT that the dispute exists The position associated with legal positivism (law is a matter of social fact / sources) versus the position associated with Ronald Dworkin (law includes principles and a dimension of interpretation, so it is not exhausted by source-based rules). INFERENCE Computationally this is the question of whether the validity predicate is decidable from sources alone or requires an open-ended interpretive step. Developed in Memo 02; flagged here because it determines whether A's output is a closed-form commit or an interpretation-dependent one.
• Where sovereignty/decision ultimately sits. FACT that the dispute exists The position associated with Carl Schmitt (sovereignty reveals itself in the decision on the exception — the case the rules do not cover) versus rule-of-law positions that seek to bind even the exception with prior norms. INFERENCE This bears directly on whether the machine is closed (every case has a rule-determined answer) or has an irreducible residual discretion node. This is a threat to computability and is escalated to Memo 11.
• Whether social order can be centrally computed at all. FACT that the dispute exists The Hayekian knowledge-problem position (dispersed tacit knowledge defeats central computation) versus positions holding that large-scale coordination is achievable by explicit institutions/rules. INFERENCE Bears on how much of governance can live in a compiler versus must remain distributed. Escalated to Memo 11; logged here because it constrains the ambition of the whole NGM framing.
• Whether legitimacy is procedural or substantive. FACT that the dispute exists Consent/procedure-based accounts versus outcome/justice-based accounts (e.g., the position associated with Rawls that principles of justice condition legitimacy). INFERENCE Determines whether L is a function of how a norm was produced or of what it says — a fork the compiler cannot decide and must leave configurable.
• Whether the "regime type" is even the right unit. HYPOTHESIS , this memo The §4 axes suggest mechanism (input width / aggregation type / error-correction) may be a better decomposition than regime labels. Competing with the traditional comparative-politics taxonomy. Unsettled; handed to Memo 10.

9. Open questions

Per §0.5 / §0.4, problems this memo cannot resolve and that D1/D2 must treat as unresolved.

• OPEN Grounding of the first rule. The regress behind the rule of recognition / Grundnorm (§6.1) has no non-circular termination. D1/D2 must accept the base validity predicate as an axiom of the instance.
• OPEN Aggregation coherence. Given Arrow/Gibbard–Satterthwaite/Condorcet (§2.3), vote-generated norm sets need not be coherent, stable, or non-manipulable. There is no aggregation function that escapes all the pathologies. How D1/D2 should represent an incoherent-but-valid output is open.
• OPEN The exception / residual discretion. Whether every case can be brought under a rule, or whether a Schmitt-style irreducible decision node remains (§8), is unresolved and directly threatens closure/computability (Memo 11).
• OPEN Cross-system conflict without a shared apex. Two sovereigns each asserting priority (§6.6, §3.10) has no algorithmic resolution. Any claim to "resolve" it computationally would be false.
• OPEN Measuring legitimacy, trust, efficacy. No agreed metrics (§6.2); they are inferred, noisy, and possibly not cardinal. D1/D2 cannot treat them as clean numeric inputs without acknowledging this.
• OPEN In-band vs out-of-band boundary in practice. The clean split of §6.4 blurs in reality (e.g., "legal" self-coups, constitutional hardball). Where the boundary actually lies is empirically and conceptually contested.
• OPEN Whether generators are reducible. Vote / decree / consensus / revelation-mediated / consent-contract — one parameterized generator or many irreducible ones? (§6.7). Deferred to Memo 10.

10. Research opportunities (for D1/D2)

Per §0.5, where the compiler work could contribute or must decide.

• INFERENCE Model the generator, not just the enactment. Represent which A produced a norm (vote/decree/consensus/revelation/consent) as a first-class attribute, so downstream reasoning can know when Arrow-type instability, single- writer fragility, or consent-gating applies.
• INFERENCE Separate the three observables. Carry validity, legitimacy, and efficacy as three independent fields, never one "in-force" flag. Their dissociation is normal, not exceptional.
• INFERENCE First-class edit-vs-apply distinction. Represent constituent (edit-the-machine) operations as a different operation type from constituted (run-the-machine) operations. Conflating them loses the amendment/legislation boundary.
• INFERENCE Support scoped/partial hierarchies. Do not hard-code a single total norm order; federations, the EU, and international law require scoped orderings plus conflict-resolution predicates (lex superior/posterior/ specialis, primacy-within-scope).
• INFERENCE Make enforcement a separate, attachable subsystem. A norm may be wired to strong, weak, delegated, dual, or no enforcement. Enforcement is not intrinsic to a norm and must be a distinct, optional binding.
• INFERENCE Expose the residual-discretion and no-shared-apex cases as explicit "undecidable here" outputs rather than forcing a fabricated resolution — this is required for honesty under M1/M6.
• HYPOTHESIS Prefer the mechanism axes (§4) over regime labels as the taxonomy backbone, pending Memo 10, because they isolate content-neutral structure from ideology (relevant to JD Q8 exclusions).

11. Handoff to D1/D2

Concrete implications for the compiler architects (all INFERENCE unless noted):

1. Norm provenance. Every norm object should record its generator (vote | decree | consensus | revelation_mediated | consent_contract | custom), because determinism, manipulability, and failure modes follow from the generator, not the content.
2. Three-field status. Replace any single "in force" boolean with { validity, legitimacy, efficacy }; treat legitimacy and efficacy as exogenous, measured, noisy inputs (no agreed metric — §6.2/§9).
3. Two operation classes. Provide distinct operations for constituted changes (legislate/regulate — run the machine) and constituent changes (amend/replace — edit the machine). Out-of-band mutation (coup/revolution) is a discontinuity that resets the instance, not a modeled transition.
4. Conflict resolution as pluggable predicate. Implement lex superior / posterior / specialis as deterministic tie-breakers over a partial order; allow scope-restricted supremacy (federation/EU primacy) and a first-class UNRESOLVED result for no-shared-apex conflicts (§6.6/§9).
5. Enforcement as an attachable subsystem with strength/topology metadata (centralized / dual / delegated / decentralized-social / weak-horizontal / none), never assumed present.
6. Cadence and veto as machine parameters. Model update cadence (event-driven / periodic / continuous) and veto structure (single-point / chamber / member-unanimity / distributed-consensus) explicitly; they determine latency and reversibility.
7. Error-correction channel as an explicit edge. Record whether an in-band channel exists to overrule an author/output (election, judicial review, internal-party, referendum) or whether correction is only out-of-band. This is the sharpest structural discriminator among §3 systems.
8. Honesty constraints (M1/M6). The compiler must be able to represent an incoherent-but-valid aggregation output, an undecidable exception, and an unresolved cross-system conflict — surfacing them rather than fabricating resolution.

FACT , per §0.2 D0 is treated as a frozen interface throughout; nothing above prescribes changes to the kernel. These are inputs the layer above the kernel must supply and the interface (Memo 12) must be able to receive.

End of Memo 01. Cross-references: Memo 02 (validity/interpretation, Hart/Dworkin/ Kelsen), Memo 08 (EU and international organizations in depth), Memo 09 (mutation dynamics and feedback loops), Memo 10 (generator taxonomy), Memo 11 (Schmitt/ Hayek threats to computability), Memo 12 (merged Q7 graph and the invariant interface).