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Structural Explainability

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Structural Explainability

This work develops foundational structural constraints on ontological substrates intended to support accountability and interoperability under persistent interpretive disagreement. It establishes what must be true of any such substrate prior to concrete ontology design or implementation.

Foundational Results

Artifact Focus Status Description
NeutralSubstrate (Lean 4) Ontological neutrality constraint CI Proves an impossibility result: substrates stable under incompatible extensions must be pre-causal and pre-normative.
paper-100-neutral-substrate Paper companion Submitted Narrative exposition of the neutrality theorem and its formal proof, establishing the design constraints for any neutral representational substrate.
IdentityRegimes (Lean 4) Identity & persistence necessity CI Shows that exactly six identity-and-persistence regimes are necessary and sufficient for accountability-oriented substrates under neutrality assumptions.
paper-200-identity-regimes Paper companion Submitted Narrative exposition of the identity-regimes result and its formal justification.

Structural Constructions Enabled by the Foundational Results

Artifact Focus Status Description
AccountableEntities (Lean 4) Entity-regime instantiation CI Formalizes the bijective mapping from named accountable entity kinds to the six identity-and-persistence regimes required by the framework.
ExchangeProtocol (Lean 4) Neutral exchange substrate CI Defines neutral, time-parametric record structures (entities, relationships, exchanges, envelopes) for representing accountable exchanges without embedding causal, normative, or domain semantics.
Contextual Evidence & Explanations (CEE) Explanation substrate Draft Specifies the neutral structural forms of explanations, evidence groupings, and contextual justification required for accountability under disagreement, without asserting causal models, normative judgments, or interpretive conclusions.
Interpretation & Conformance Boundary Substrate-interpretation interface Conceptual Defines the boundary conditions under which external legal, ethical, or policy frameworks may interpret, constrain, or profile substrate records, without altering the neutral structural core or asserting normative conclusions.

Overview

Structural Explainability is a foundational research program concerned with the design of neutral representational substrates that preserve stable reference and accountability under persistent disagreement.

The work develops structural constraints on ontology design independently of domain, policy, or interpretive framework, with a focus on identity, persistence, and extension stability.

Scope

Structural Explainability addresses questions such as:

  • What structural commitments are unavoidable if disagreement is persistent?
  • How can accountability be represented without embedding causal or normative assumptions?
  • What identity and persistence regimes are required for stable reference?

The results are theoretical and constraint-based. They are not proposals for domain ontologies or protocols.

Core Results

  • Ontological neutrality requires pre-causal and pre-normative substrates
  • Exactly six identity-and-persistence regimes are necessary and sufficient for neutral accountability under persistent disagreement

Relationship to Civic Interconnect

Structural Explainability provides theoretical foundations that inform the design of the Civic Interconnect ecosystem, including work on Accountable Entities (AE), the Civic Exchange Protocol (CEP), and Contextual Evidence and Explanations (CEE).

Popular repositories Loading

  1. paper-100-neutral-substrate paper-100-neutral-substrate Public

    Paper establishing that for an ontological substrate to remain neutral and stable under allowable frameworks that include persistent disagreement, causal or normative commitments cannot be part of …

    TeX 1

  2. NeutralSubstrate NeutralSubstrate Public

    Lean 4 formalization of the Ontological Neutrality Theorem

    Lean 1

  3. IdentityRegimes IdentityRegimes Public

    Lean 4 formalization of the necessary and sufficient identity-and-persistence regimes for neutral accountability substrates.

    Lean 1

  4. AccountableEntities AccountableEntities Public

    Lean 4 formalization of Accountable Entities (AE): six named entity kinds and their mapping to six identity regimes.

    Lean 1

  5. ExchangeProtocol ExchangeProtocol Public

    Lean 4 formalization of the exchange protocol schemas.

    Lean 1

  6. paper-200-identity-regimes paper-200-identity-regimes Public

    This paper derives necessary and sufficient structural constraints on neutral ontological substrates required to support stable reference and accountability under persistent disagreement.

    TeX 1

Repositories

Showing 7 of 7 repositories
  • .github Public
    structural-explainability/.github’s past year of commit activity
    0 MIT 0 0 0 Updated Dec 28, 2025
  • paper-200-identity-regimes Public

    This paper derives necessary and sufficient structural constraints on neutral ontological substrates required to support stable reference and accountability under persistent disagreement.

    structural-explainability/paper-200-identity-regimes’s past year of commit activity
    TeX 1 0 0 0 Updated Dec 28, 2025
  • paper-100-neutral-substrate Public

    Paper establishing that for an ontological substrate to remain neutral and stable under allowable frameworks that include persistent disagreement, causal or normative commitments cannot be part of the substrate itself.

    structural-explainability/paper-100-neutral-substrate’s past year of commit activity
    TeX 1 0 0 0 Updated Dec 28, 2025
  • NeutralSubstrate Public

    Lean 4 formalization of the Ontological Neutrality Theorem

    structural-explainability/NeutralSubstrate’s past year of commit activity
    Lean 1 MIT 0 0 0 Updated Dec 28, 2025
  • IdentityRegimes Public

    Lean 4 formalization of the necessary and sufficient identity-and-persistence regimes for neutral accountability substrates.

    structural-explainability/IdentityRegimes’s past year of commit activity
    Lean 1 MIT 0 0 0 Updated Dec 28, 2025
  • AccountableEntities Public

    Lean 4 formalization of Accountable Entities (AE): six named entity kinds and their mapping to six identity regimes.

    structural-explainability/AccountableEntities’s past year of commit activity
    Lean 1 MIT 0 0 0 Updated Dec 28, 2025
  • ExchangeProtocol Public

    Lean 4 formalization of the exchange protocol schemas.

    structural-explainability/ExchangeProtocol’s past year of commit activity
    Lean 1 MIT 0 0 0 Updated Dec 27, 2025

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