Curated evidence library

Follow a claim
to its supporting record.

A selective map of public papers and software, plus frozen local experiment packets that are described here without exposing raw research directories.

Catalog boundary

This catalog is selective. A link records relevance to a chapter and an evidentiary role; it does not transfer a paper, software package, or experiment packet's conclusions beyond its stated contract.

paper

Language Identification in the Limit

published article

Classical identification-in-the-limit paradigm generalized by ORACLE from languages to categorical worlds and doctrines.

Boundary. Gold's results depend sharply on the presentation and hypothesis class; they do not imply unrestricted categorical identifiability.

Discovering Compositional Worlds from Interaction

  • Chapter 2: The ORACLE Program · p. 65
  • Chapter 3: Categorical Identification Under a Prior · p. 77
  • Chapter 6: The UOCL Machine · p. 139
Open public record

paper

Précis of What Babies Know

published article

Empirical and theoretical motivation for treating core knowledge as a structured prior over compositional worlds.

Boundary. The categorical doctrine proposed by ORACLE is an abstraction of the core-knowledge hypothesis, not a neuroscientific identification result.

Discovering Compositional Worlds from Interaction

  • Chapter 0: The Infant's Problem · p. 25
  • Chapter 4: Core Knowledge and Piagetian Construction · p. 89
Open public record

paper

Tangent Categories from the Coalgebras of Differential Categories

published conference paper

Connects differential and tangent categorical structure, clarifying what tangent UOCL may discover and transport.

Boundary. The construction supplies mathematical infrastructure; it does not establish learnability of a tangent category from interaction.

Discovering Compositional Worlds from Interaction

  • Chapter 1: A Categorical and Homotopical Toolkit · p. 39
  • Chapter 7: Persistent Categorical Identification · p. 151
  • Chapter 14: Homotopy and Tangent Repair · p. 237
Open public record

paper

Evolvability

published article

Source paradigm for the PACC evolvability construction based on local mutations evaluated through statistical performance.

Boundary. PACC evolvability is a proposed categorical abstraction and requires separate representation, sampling, tolerance, and mutation assumptions.

Discovering Compositional Worlds from Interaction

  • Chapter 8: Probably Approximately Categorically Correct Learning · p. 159
Open public record

book

Introduction to Online Convex Optimization

arXiv tutorial

Classical reference point for the UODL treatment of online comparison, regularized action, and bandit feedback.

Boundary. UODL changes the semantics of information, comparison, and composition; Hazan's regret results transfer only under explicit realization assumptions.

Discovering Compositional Worlds from Interaction

  • Chapter 9: Online and Persistent Universal Decision Learning · p. 171
  • Chapter 10: Convex and Regularized Universal Action · p. 201
  • Chapter 11: Universal Bandit Decision Learning · p. 211
Open public record

paper

Learning in Infinitesimal Non-Compositional Sketches

arXiv preprint

Primary paper-level statement of learning from typed failures of compositionality and their tangent lift.

Boundary. The formal framework does not by itself show that a chosen observer, scalarization, or repair improves an empirical task.

Machine Learning from Enforcing Compositionality

  • Chapter 1: Axioms of Structural Learning · p. 59
  • Chapter 2: Learning by Repair · p. 75
  • Chapter 3: Learning Sketches and Factorization Obstructions · p. 83
  • Chapter 4: Tangent Learning Sketches · p. 91
  • Chapter 8: Deep Learning in Non-Compositional Sketches · p. 133
  • Chapter 9: Quotients, Localization, Repair, and Admission · p. 143

Infinitesimal Creativity

  • Chapter 0: A Working Language for Creative Theory Change · p. 25
  • Chapter 2: Creativity as Theory Construction · p. 53
  • Chapter 3: The Differential Geometry of Creativity · p. 65
  • Chapter 10: DIAL as an Algorithmic Family · p. 175
Open public record

paper

Infinitesimal Causality

arXiv preprint

Develops the infinitesimal intervention and tangent-causal language inherited by the causal and simulator-grounded chapters.

Boundary. An infinitesimal diagnostic is not, without identification assumptions and external evidence, a certificate of causal structure.

Machine Learning from Enforcing Compositionality

  • Chapter 5: Infinitesimal Causality · p. 101

Infinitesimal Creativity

  • Chapter 11: Causal Learning with Infinitesimal Creativity · p. 197
  • Chapter 16: Simulator-Grounded Theory Extension · p. 285
Open public record

paper

Latent Confounded Causal Discovery via Lie Bracket Geometry

arXiv preprint

Supplies the BRIDGE/SKFM geometric precursor for closure diagnostics and latent-confounding alternatives.

Boundary. Lie-bracket nonclosure is a typed diagnostic under registered semantics, not unique identification of a latent confounder.

Machine Learning from Enforcing Compositionality

  • Chapter 11: Geometric Causal Discovery · p. 165

Infinitesimal Creativity

  • Chapter 11: Causal Learning with Infinitesimal Creativity · p. 197
  • Chapter 16: Simulator-Grounded Theory Extension · p. 285
Open public record

paper

Agentic Skill Optimization over Lie Algebroids

arXiv preprint

Provides the Lie-algebroid skill-optimization substrate used by the DIAL-SkillOpt and OPTIC constructions.

Boundary. Optimization inside a supplied skill language is not evidence that the system invented a missing skill interface or grammar.

Machine Learning from Enforcing Compositionality

  • Chapter 14: Skills over Lie Algebroids · p. 187

Infinitesimal Creativity

  • Chapter 4: Skill Optimization for Creative Exploration · p. 93
  • Chapter 12: Skill Optimization with Infinitesimal Creativity · p. 207
Open public record

paper

PROMETHEUS: Automating Deep Causal Research Integrating Text, Data and Models

arXiv preprint

Provides the document, model, simulator, and foundry infrastructure inherited by the scientific-theory testbeds.

Boundary. Research orchestration and source-bearing causal extraction do not by themselves admit a scientific mechanism or research program.

Categories for AGI

  • Chapter 16: Causal Claims from Language · p. 213
  • Chapter 17: Temporal Diffusion over Causal Trajectories · p. 221
  • Chapter 21: Csql: Mapping Documents into Topos Causal Model Databases · p. 305

Machine Learning from Enforcing Compositionality

  • Chapter 20: Trustworthy Foundation Models · p. 229

Infinitesimal Creativity

  • Chapter 16: Simulator-Grounded Theory Extension · p. 285
  • Chapter 17: From Scientific Documents to Testable Theories · p. 303
Open public record

software

LINCS software companion

research code, version 0.1.0

Inspectable implementations of the axiomatic core and the BRIDGE/SKFM, ALLORA, LASKO, GIRL, LINCS-RLHF, RADAR, and SID application packages.

Boundary. The repository is a collection of research packages rather than one production library; smoke tests are not substitutes for the books' full empirical contracts.

Machine Learning from Enforcing Compositionality

  • Chapter 1: Axioms of Structural Learning · p. 59
  • Chapter 11: Geometric Causal Discovery · p. 165
  • Chapter 13: Composable Neural Adapters · p. 181
  • Chapter 14: Skills over Lie Algebroids · p. 187
  • Chapter 15: Infinitesimal Reinforcement Learning · p. 193
  • Chapter 16: Learning from Structured Preferences · p. 203
  • Chapter 17: Relational Manifold Recovery · p. 209
  • Chapter 18: Sheaf-Based Distributed Learning · p. 215

Infinitesimal Creativity

  • Chapter 4: Skill Optimization for Creative Exploration · p. 93
  • Chapter 11: Causal Learning with Infinitesimal Creativity · p. 197
  • Chapter 12: Skill Optimization with Infinitesimal Creativity · p. 207
  • Chapter 13: Reinforcement Learning with Infinitesimal Creativity · p. 219
Open public record

experiment packet

DIAL-URL controlled theory-construction packet

frozen local evidence; not publicly attached

Collects the registered URL--0 through URL--4 protocols, outcomes, abstentions, and source summaries used in the mathematical-theory chapter.

Boundary. The packet supports bounded constructor recovery inside supplied formal languages, not autonomous formation of a mathematical field.

Infinitesimal Creativity

  • Chapter 15: Mathematical Theory Construction · p. 251

Local curated packet · public attachment requires provenance, rights, and privacy review.

experiment packet

Scientific theory-extension evidence packet

frozen local evidence; not publicly attached

Collects the SGTE, CTTE, GLP-1 pilot, and GLP1-GRANT registered records used to separate simulator-, corpus-, and external-admission claims.

Boundary. Simulator and corpus-relative gates do not confer biological validity, causal identification, peer-review success, or fundability.

Infinitesimal Creativity

  • Chapter 16: Simulator-Grounded Theory Extension · p. 285
  • Chapter 17: From Scientific Documents to Testable Theories · p. 303

Local curated packet · public attachment requires provenance, rights, and privacy review.

experiment packet

ARTISTIC visual-assurance evidence packet

frozen local evidence; not publicly attached

Collects the textual-inversion, natural-image, Bongard, and disclosed provider-repair records underlying the visual-language chapter.

Boundary. Contract-relative visual repair is assurance infrastructure; it is not by itself invention of a new visual language or artistic technique.

Infinitesimal Creativity

  • Chapter 18: Generative Visual Languages · p. 349

Local curated packet · public attachment requires provenance, rights, and privacy review.

experiment packet

DILATE paintbrush-calibration evidence packet

frozen local evidence; not publicly attached

Collects mixed-bracket, paintbrush-routing, and movie-transport calibrations used in the artistic-theory-extension chapter.

Boundary. The packet supports local selection and transport within supplied paintbrush languages, not invention and admission of a previously unavailable artistic generator.

Infinitesimal Creativity

  • Chapter 19: Artistic Theory Extension · p. 385

Local curated packet · public attachment requires provenance, rights, and privacy review.

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