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Formalisms

Purpose

The Admissibility Wiki is the public convergence surface for formal systems that define, test, compare, or govern admissible AI-related action.

This page lists formalism terms from the Admissible-Existence organization using readable definitions first. Source-repository abbreviations are shown only as secondary identifiers.

The wiki mirrors and classifies these formalisms for public review and convergence. It does not replace the originating repositories, formal proof artifacts, executable tests, decision records, or source authority.

Current Formalism Source Family

Origin organization: Admissible-Existence
Wiki mirror repository: StegVerse-Labs/admissibility-wiki
Registry artifact: static/formalisms/formalism-registry.v0.1.json
Registry state: intake

Current RTG / CHF Corrections

AbbreviationCorrected meaningStatus
RTGRelational Transition Geometrycorrected foundation term
CHFCoherency Horizoncorrected information-boundary term

RTG is no longer treated as Runtime Transition Governance at the foundation layer. Runtime governance remains an execution-facing application of Relational Transition Geometry.

CHF is no longer treated as Continuity Handoff Formalism. Continuity handoff remains a related continuity concept, but CHF is reserved for Coherency Horizon.

Uniform Record Rule

Every formalism entry must expose the same record fields, even when a field is not yet populated.

The values null, none, unknown, partial, disputed, unresolved, and in progress are meaningful governance entries. They should be written explicitly instead of omitted.

For non-obvious StegVerse ecosystem entries, in progress may be used as a temporary status placeholder until source artifacts, dates, links, and relationship records are confirmed.

Formalism Terms

Commit-Time Admissibility

Definition: A governing formalism for determining whether a proposed transition still has standing at the moment it crosses into commitment.

Source reference: Admissible-Existence/CTA
Source visibility: private
Formalism page: Commit-Time Admissibility
Current wiki state: mirrored
Non-claim: CTA listing does not prove the complete formalism or create present standing for any transition.

Inference-Window and Irreversibility-Bounded Governance

Definition: An executable governance formalism for evaluating whether evidence, authority, policy, scope, context, consequence, and recovery conditions retain sufficient standing at commitment.

Source reference: Admissibility Wiki public formalism
Source visibility: public
Formalism page: Inference-Window and Irreversibility-Bounded Governance
Current wiki state: validated implementation pending public deployment verification
Non-claim: A passing validator does not prove factual correctness, legal compliance, or IICT.

Conceptual Inheritance and Provenance Standing

Definition: A governed-transition formalism that separates architectural integrity, provenance continuity, and standing for public claims about independent origin, influence, interoperability, or derivation.

Source reference: Admissibility Wiki public formalism
Source visibility: public
Formalism page: Conceptual Inheritance and Provenance Standing
Schema: static/schemas/conceptual-inheritance-record.schema.json
Validator: scripts/check_conceptual_inheritance_claims.py
Current wiki state: validated implementation pending canonical workflow and public deployment verification
Non-claim: Similarity alone does not prove derivation, and unresolved provenance does not certify independent origin or establish legal ownership, infringement, or intent.

AI-Led Radiology Execution-Boundary Admissibility

Definition: A domain-specific execution-boundary formalism for determining when AI may assist radiology, when mandatory human review is required, and when autonomous clearance must be denied or fail closed.

Source reference: Admissibility Wiki public formalism
Source visibility: public
Formalism page: AI-Led Radiology Execution-Boundary Admissibility
Schema: static/schemas/ai-led-radiology-execution-case.schema.json
Validator: scripts/check_ai_led_radiology_execution.py
Publication validator: scripts/check_ai_led_radiology_publication.py
Current wiki state: validated local implementation pending canonical workflow and public-route verification
Non-claim: The formalism does not grant clinical authority, replace qualified radiologist judgment, certify a model, or authorize autonomous diagnostic clearance.

Governed Action Lifecycle

Definition: A lifecycle formalism separating proposal, commit-time revalidation, bounded execution, consequence observation, recovery or accountability, and reconstruction.

Source reference: Admissibility Wiki public lifecycle doctrine
Source visibility: public
Formalism page: Governed Action Lifecycle
Current wiki state: mirrored
Non-claim: Lifecycle placement does not itself grant authority or prove that any particular transition was admissible.

Irreversibility-Inference Convergence Theorem

Definition: A theorem candidate proposing that governance systems subjected to repeated admissibility optimization converge toward structures that minimize the distance between irreversible commitment and the final admissible inference while preserving reconstructability.

Source reference: Admissible-Existence/IICT
Source visibility: private
Formalism page: Irreversibility-Inference Convergence Theorem
Current wiki state: mirrored
Non-claim: IICT does not replace Commit-Time Admissibility and is not proven by baseline tests.

State Transition Continuity Model

Definition: A formalism for examining whether a proposed or observed state transition preserves enough continuity, standing, and reconstruction context to be treated as admissibly related to the prior state.

Source reference: Admissible-Existence/STCM
Source visibility: public
Formalism page: State Transition Continuity Model
Current wiki state: mirrored
Non-claim: The wiki does not prove this formalism merely by listing it.

Relational Transition Geometry

Definition: The foundational RTG formalism for describing the geometry of a transition before it is reduced into table cells, proof paths, runtime checks, or commit-time outcomes.

Source reference: Admissible-Existence/RTG
Source visibility: private
Formalism page: Relational Transition Geometry
Current wiki state: mirrored
Non-claim: Runtime governance remains a later execution-facing application of the transition geometry, not the corrected foundation meaning of RTG.

Coherency Horizon

Definition: The CHF formalism for identifying the boundary beyond which no additional information can be obtained from within a stabilized coherent state, even though existence may continue inside that boundary.

Source reference: Admissible-Existence/CHF
Source visibility: private
Formalism page: Coherency Horizon
Current wiki state: mirrored
Non-claim: Existence alone does not create governance standing, reconstructability, or execution authority.

Boundary Conditions

Definition: A formalism for identifying the conditions that must hold before a transition, decision, or claim can be treated as inside a governed admissibility boundary.

Source reference: Admissible-Existence/BC
Source visibility: private
Formalism page: Boundary Conditions
Current wiki state: mirrored
Non-claim: Boundary-condition listing does not establish that a boundary was satisfied in any specific case.

Transition Table

Definition: A formalism for classifying proposed state changes by transition type, actor, authority class, policy reference, evidence posture, review posture, drift posture, decision result, commit-time validity, and receipt/reconstruction status.

Source reference: Admissible-Existence/TT
Source visibility: private
Formalism page: Transition Table
Visual reference: Transition Table Visual
Current wiki state: mirrored
Non-claim: A visual table is not itself proof of admissibility.

Disciplinary Translation Groundwork

Definition: A public-safe translation groundwork for expressing discipline-specific consequential changes as state transitions without claiming that the source disciplines are equivalent.

Source reference: Admissibility Wiki public groundwork
Source visibility: public
Formalism page: Disciplinary Translation Groundwork
Current wiki state: intake
Non-claim: This page does not prove a new physical theory, replace source-discipline mathematics, or turn analogy into equivalence.

Translation Records

Definition: A machine-readable and human-readable record layer for mapping source-discipline terms into Transition Table roles while preserving native meaning, evidence posture, review posture, and non-claim boundaries.

Source reference: static/translation-records/disciplinary-translation-records.v0.1.json
Source visibility: public
Formalism page: Translation Records
Current wiki state: intake
Non-claim: Translation records are interoperability artifacts, not proof authority or commit-time authority.

Mathematics Crosswalk

Definition: A public-safe crosswalk from selected GCAT / BCAT equation forms into Transition Table roles and translation-record IDs.

Source reference: static/translation-records/mathematics-crosswalk.v0.1.json
Source visibility: public
Formalism page: Mathematics Crosswalk
Current wiki state: intake
Non-claim: This page does not validate equations, prove physical interpretation, or authorize any transition.

Triad Governance Model

Definition: A formalism for modeling governance across three interacting roles, dimensions, or authorities where admissibility depends on the relationship among all three rather than a single actor or single approval path.

Source reference: Admissible-Existence/Triad
Source visibility: private
Formalism page: Triad Governance Model
Current wiki state: mirrored
Non-claim: The wiki does not infer which triad configuration applies without source-confirmed definition.

Continuity Handoff Formalism

Definition: A formalism for preserving reconstructable task, authority, evidence, and state continuity when work moves across sessions, repositories, entities, reviewers, or execution surfaces.

Source reference: pending abbreviation-safe source confirmation
Source visibility: private
Formalism page: Continuity Handoff Formalism
Current wiki state: mirrored
Non-claim: This page does not claim the abbreviation CHF.

Data Continuity

Definition: A formalism for preserving the identity, integrity, traceability, and reconstructability of data across transitions, transformations, mirrors, receipts, and derived artifacts.

Source reference: Admissible-Existence/DaCo
Source visibility: private
Formalism page: Data Continuity
Current wiki state: mirrored
Non-claim: Data continuity does not prove decision legitimacy unless linked to the relevant authority, policy, and evidence context.

Decision Continuity

Definition: A formalism for preserving the standing, review basis, policy reference, receipt path, and reconstructability of decisions across time and downstream consequence.

Source reference: Admissible-Existence/DC
Source visibility: private
Formalism page: Decision Continuity
Current wiki state: mirrored
Non-claim: A recorded decision does not remain valid if commit-time standing is lost.

Governance-Centered / Boundary-Centered Admissibility Testing

Definition: A formalism family for testing whether governance conditions and boundary conditions are satisfied before a transition, execution, publication, or consequence is treated as admissible.

Source reference: Admissible-Existence/GCAT-BCAT
Source visibility: private
Formalism page: Governance-Centered / Boundary-Centered Admissibility Testing
Current wiki state: mirrored
Non-claim: Test-family identification does not prove any specific test result.

Core-Lite Admissibility Engine

Definition: A compact implementation-oriented formalism for evaluating admissibility claims through the smallest viable core of policy, authority, evidence, review, and receipt checks.

Source reference: Admissible-Existence/core-lite
Source visibility: private
Formalism page: Core-Lite Admissibility Engine
Current wiki state: mirrored
Non-claim: Implementation presence does not equal production authority.

Learning Transition Governance

Definition: A formalism for applying transition-governance concepts to learning environments, including human learning, AI-assisted learning, instructional review, evaluation, and consequence-bearing educational decisions.

Source reference: Admissible-Existence/learning-transition-governance
Source visibility: public
Formalism page: Learning Transition Governance
Current wiki state: mirrored
Non-claim: The wiki does not prove educational validity merely by listing the formalism.

Admissible-Existence Validation Factory

Definition: A formalism and tooling surface for producing, organizing, or checking validation artifacts used by Admissible-Existence formal systems.

Source reference: Admissible-Existence/ae-validation-factory
Source visibility: private
Formalism page: Admissible-Existence Validation Factory
Current wiki state: mirrored
Non-claim: Validation-factory existence does not mean a given formalism has passed validation.

Formalism Record States

StateMeaning
intakeA formalism has been identified but not mapped.
in progressA non-obvious StegVerse ecosystem entry has been acknowledged, but its source date, link, contributor record, or relationship classification is still being confirmed.
mirroredA public wiki page exists and links to public-safe source artifacts.
crosswalkedThe formalism has mapped glossary, ontology, receipt, and proof-path relationships.
validatedThe formalism has a validator, example, replay path, or formalism-test artifact.
supersededA newer formalism has replaced or narrowed this one.

Authority Boundary

The wiki may explain or mirror a formalism, but it must not overclaim what the formalism proves.

Wiki page = public explanation and convergence layer
Source repository = originating artifact authority
Formalism test = executable proof or validation authority when present
Decision record = accepted governance disposition
Continuity receipt = reconstructability and handoff evidence
StegCore = admissibility interpretation where applicable

Private source repositories must not have private content copied into the public wiki. They may be represented by public-safe metadata, source identity, boundary declarations, and later approved public mirror excerpts.