Library / First Principles Framework (FPF) - Core Conceptual Specification
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A.6.REL:4.1 - Apply the relation-object architecture discipline

Relation-object architecture discipline names the rule set in this subsection. Conforming prose keeps the objects around one direct relation distinct, names the direct relation between adjacent objects, and uses a recoverable name for each current object. A.6.5 specializes only the SlotSpec part of this rule set.

Short use rule. State the world-side relation and its actual participants first. Add another named object from the relation-object architecture only when the current receiving use depends on that exact object, and state its direct relation to the object already in view. The tables below help select that additional object and relation; they are not a mandatory form for ordinary relation prose.

The world-side relation comes first. An actual relation participant is one exact U.Entity participating in one obtaining relation occurrence under one relation-participant meaning. Participation leaves the entity under its independently governed intrinsic kind. A relation occurrence is the obtaining U.Relation occurrence itself. The direct relation obtains when the actual participants satisfy the obtaining predicate; the occurrence-identity rule provides the criteria for reidentification, continuity, and distinction from another occurrence. Signatures, assertions, names, references, and representations retain their separate identities.

A.6.REL:4.1.1 - World-side objects
Canonical FPF nameWhat this object isDirect relation to preserveNaming ruleSubject pattern
actual relation participantone exact U.Entity; this is a relation-qualified use of the entity, not a new kindthe entity participates in this relation occurrence under one relation-participant meaninguse the entity’s direct kind and current name; use a governed designator only when naming or reference is current; in relation prose add the domain participant meaning, as in Robot-7 as the holder systemthe participant’s direct pattern and the direct relation pattern
relation occurrenceone obtaining occurrence admitted under U.Relationthe occurrence has the actual participants and is classified by the direct relation kind; it obtains when those participants satisfy the relation obtaining predicate within its applicabilityuse the readable direct relation sentence until stable occurrence reference is needed; then use a relation-occurrence designator assigned after the identity rule is applicablethe direct relation pattern and A.6.REL

The phrase actual relation participant therefore never replaces the entity’s own name. It says how that entity participates in this occurrence. Likewise, the readable sentence Robot-7 is assigned as inspector through InspectionAssignment-17 can state the direct assignment without first creating a relation-occurrence description episteme.

A.6.REL:4.1.2 - Relation-kind settlement

The relation kind is a classificatory distinction over relation occurrences. Every admitted direct or derived relation kind has one direct subject settlement that states relation-participant meanings, an obtaining predicate, applicability, and an occurrence-identity rule as semantic and rule content. A derived kind additionally names its base-definition and substrate dependencies. Ordinary use may omit explicit individuation when no receiver needs it; that omission does not mean the identity rule is absent. World-side entities participate according to the settlement while retaining their own kinds.

Canonical FPF nameWhat this object isDirect relation to preserveNaming ruleSubject pattern
relation kinda classificatory distinction whose individuals are relation occurrences; E.24.UK admits a durable U-kind only when the direct relation pattern supplies the required witness, while a narrower relation distinction remains governed without automatic U.* admissionclassifies relation occurrences governed by one obtaining predicate and one occurrence-identity ruleuse the accepted domain relation name; a new durable Tech name follows E.24.UK admission and F.18 naming, while morphology alone establishes neitherthe direct relation pattern and A.6.REL; E.24.UK when durable U-kind admission is current
relation-participant meaningrelation-local semantic content specifying one domain contribution to the obtaining predicatesays how one actual participant contributes to the obtaining predicate while that participant retains its intrinsic kinduse the domain meaning declared by the direct pattern, such as holder System or assigned local system-role kind in an A.2.1 direct species; keep it local to that relation kindthe direct relation pattern
relation obtaining predicatetruth-valued rule content over the actual participants considered under their relation-participant meaningssatisfaction of this predicate is the stated criterion for the direct relation obtaininguse the exact condition from the subject pattern, such as the predicate of one directly declared species under U.SystemRoleAssignment; notation used to express it keeps its source name; use C.29 for a declared mathematical-lens usethe direct relation pattern
relation occurrence-identity rulerule content for reidentifying one occurrence and distinguishing it from anothera system applies this rule only after relevant current-case facts or constituting history satisfy the direct obtaining predicate and later work needs occurrence identityname the exact world-side discriminator supplied by the direct relation pattern, such as participant-determined identity or maximal continuous obtaining intervalthe direct relation pattern and A.6.REL

Public name settlement. The following F.18 NameCard names the already governed root occurrence kind. It neither admits a new kind nor makes a relation obtain.

NameCard:
  NameCardId: NC-U-RELATION
  GovernedValueRef: U.Relation under A.6.REL
  SubjectPatternLocator: A.6.REL
  ReferenceScheme: FPFCoreReferenceScheme
  LocalSenseRef: individuable obtaining relation occurrence whose direct pattern supplies participants, obtaining conditions, and identity
  TechLabel: U.Relation
  PlainLabel: relation occurrence
  CandidateSet: U.Relation; U.RelationOccurrence; U.ObtainingRelation; U.IndividuatedRelation
  RejectedCandidates: longer candidates expose occurrence or obtaining but lose the established root retrieval head; U.Relation remains safe only with the A.6.REL identity discipline
  SelectionRationale: preserve the root name while distinguishing existence, kind admission, explicit individuation, identifier assignment, and reference use
  PublicRowStatus: pending
  LineageEntries: existing local U.Relation declarations narrowed to individuable obtaining occurrences
  RefreshCondition: reopen if direct relation patterns cannot supply stable occurrence identity for an admitted relation kind

Use U.Relation for the admitted root kind only. A direct relation kind keeps its own governed name, participant meanings, obtaining predicate, and occurrence-identity rule.

In the world-side relation, the actual entities participate directly under the relation-participant meanings. When assertions and descriptions need typed reuse, a reusable declaration episteme declares those meanings without becoming the world-side relation.

A.6.REL:4.1.3 - Reusable declaration episteme
Canonical FPF nameWhat this object isDirect relation to preserveNaming ruleSubject pattern
RelationSignaturea U.Signature declaration episteme whose EntityOfConcern is the direct relation kindits content states a reusable declaration of the relation-participant meanings, obtaining predicate, applicability, occurrence-identity rule, and only the SlotSpecs needed by receiving typed usesname the declaration episteme from its accepted direct relation species, for example the RelationSignature for MaintenanceInspectionAssignment; the name denotes the declaration episteme, not the relation kind or an occurrenceA.6.0
SlotSpeca declaration-content component identified inside one exact RelationSignature by its declaration-local SlotKindcorresponds to one relation-participant meaning and states the actual participant ValueKind plus the receiving-episteme designation modeuse the exact declaration-local name supplied by the subject pattern, such as HolderSystemSlot in the MaintenanceInspectionAssignment signature; refer to the complete component as that SlotSpec in the named RelationSignatureA.6.5

SlotKind, ValueKind, and refMode answer different questions. SlotKind identifies the declaration component locally. ValueKind is the independently governed kind of the actual relation participant. refMode states how a receiving episteme designates that participant. Together they specify one declaration component; world-side entities and occurrences keep their independently governed identities.

A.6.REL:4.1.4 - Claim and description epistemes
Canonical FPF nameWhat this object isDirect relation to preserveNaming ruleSubject pattern
relation-participant designationa value or governed reference in a receiving episteme; it retains its own value kind or RefKinddenotes the actual relation participant through the content position corresponding to one declared SlotSpecname the value or reference under its own governor and effective reference scheme; if a concrete representation field carries it, keep that field’s source name and state the explicit declaration or representation correspondence to the SlotKind; equal spelling is only a representation choice, never object identityC.2.1, A.6.5, and F.18 when durable naming is current
relational assertiona claim-bearing U.Epistemeits content states affirmative or negative assertion polarity for the direct obtaining predicate with relation-participant designations; an affirmative assertion may designate an already individuated occurrence only after current case facts or constituting history satisfy that predicate and the direct identity rule has been applied; the assertion states that result; assertion form alone does not establish or constitute the occurrence; a forecast, scenario, counterfactual, permission, or other claim family keeps its own direct semantics, while supported, refuted, or unresolved reliance belongs to A.10 or the receiving evaluationname the asserted direct relation and its polarity; name the exact direct claim family whenever ordinary affirmation or denial is insufficientC.2.1, the direct claim pattern, and A.10 or the receiving evaluation for reliance
relation-occurrence description epistemea U.Episteme whose EntityOfConcern is one explicitly individuated relation occurrencedescribes that occurrence without replacing it; description form alone does not supply occurrence identityuse description of <relation-occurrence designator> in readable prose; give a reusable description-episteme kind its own governed name only when another use depends on that kindC.2.1

A receiving episteme contains a relation-participant designation in a content position corresponding to one declared SlotSpec. A concrete representation may carry that designation in a field, but the field keeps its source name and corresponds to the declaration-local SlotKind only through an explicit declaration or representation correspondence. Reusing the SlotKind spelling for convenience does not identify the field, SlotKind, designation, or participant. The designation denotes the actual participant; the participant remains a U.Entity, the obtaining occurrence remains a U.Relation, and the receiving episteme keeps its own C.2.1 identity.

A.6.REL:4.1.5 - Naming, reference, and representation
Canonical FPF nameWhat this object isDirect relation to preserveNaming ruleSubject pattern
relation-occurrence designatora name associated with one already recoverable relation occurrence under a naming relation and effective reference schemedesignates the occurrence; assignment of the designator does not create or individuate itapply F.18; select a name that exposes enough of the direct relation and identity distinction for its receiving useF.18
relation-occurrence referencea reference value of one exact RefKind under an effective U.ReferenceSchemea system applying the governed resolution method obtains the already recoverable relation occurrence as referentuse the exact governed RefKind whose declared referent range admits this relation kind; a field ending in Ref names the reference value, not the occurrenceF.18 and the direct RefKind pattern
representation elementan element of a declared representationrepresents an object, claim content, or declaration, or corresponds to one independently governed object in this relation-object architecturekeep the source representation’s own name and state an explicit correspondence naming both the source element and the FPF object; do not rename the source element into that objectthe applicable representation or representation-transition pattern; C.29 when a mathematical-lens use is claimed

A source-specific term remains the name of its source-side object until an explicit correspondence is stated. That correspondence never identifies a source representation element with the represented FPF object. Representation preservation stays with the selected representation or representation-transition pattern; C.29 governs a declared mathematical-lens use. Structural equivalence goes to C.34, and cross-context sameness goes to A.6.9.

A.6.REL:4.1.6 - Use the subject pattern for the current object
Current questionSubject pattern
What relation obtains, under which participant meanings, predicate, and identity rule?the direct relation pattern, with A.6.REL for occurrence individuation
What reusable declaration and SlotSpecs are needed?A.6.0 and A.6.5
What assertion or description episteme is current?C.2.1 and the direct claim or description pattern
What durable designator or reference is current?F.18 and the direct reference pattern
What selected representation element is current, and what object or claim content does it represent?the selected representation or representation-transition pattern; C.29 when a mathematical-lens use is claimed
Which object is hidden by unresolved source wording?A.6.P, A.6.RSIR, and E.10, followed by the subject pattern recovered there

Only systems perform authoring, evaluation, individuation, naming, reference-resolution, and representation work. Relation occurrences obtain; epistemes contain declarations, assertions, and descriptions; names and references stand in governed designation relations. This grammar keeps agency with systems without suppressing the semantic relations that make the relation-object architecture useful.

A.6.REL:4.1.7 - Name only the minimum current object

The relation-object architecture organizes the distinct objects that may become current. For each relation sentence, select only the object needed by the current use. Stable relation-kind semantics belong once in the direct relation pattern or ontic. A reusable declaration belongs once in its RelationSignature. A durable name belongs once in its F.18 naming settlement. Later prose names the object current for its use and cites the subject pattern for already established neighboring objects.

Current useMinimum sufficient textAdd another object only when
ordinary direct relation assertionone readable direct relation sentence naming the actual participantspredicate interpretation or occurrence identity changes the next engineering move
repeated typed assertion or description epistemecite the direct RelationSignature; carry exact relation-participant designations in content positions corresponding to its SlotSpecs; if a concrete representation field carries one, keep its source name and state the explicit declaration or representation correspondencethe declaration, ValueKind, RefKind, designation, or correspondence itself is under examination
occurrence-dependent assertion or description epistemeuse the relation-occurrence designator or reference and cite the direct occurrence-identity ruleparticipant meaning, obtaining, continuity, or repeated-occurrence identity is disputed
representation-dependent usename the source representation element, the represented FPF object or claim content, and their explicit correspondencerepresentation preservation or loss is current under its applicable pattern, structural equivalence is current under C.34, or cross-context sameness is current under A.6.9
ontology or wording repairrecover the current object and only the adjacent relations needed to resolve the wordingthe repair has not yet recovered a unique current object and subject pattern

In recognition text, prefer the readable direct relation sentence. Put the reusable declaration, occurrence-identity rule, naming settlement, or representation correspondence in nearby Tech or assurance text governed by its direct pattern, and refer to it when another declared use depends on it. Precision comes from recoverable subject patterns and explicit relations between adjacent objects, not from repeating the complete architecture.

This rule keeps elaboration additive. Each new receiving use introduces only the object on which that use depends and the object’s direct relation to an already recoverable object. When the use stops at the world-side relation, the prose adds no signature, occurrence-description, naming, or representation apparatus.