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April 3, 20260 citationsOpen Access

Constitutional Observable Invention without Meta-Evaluators

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KTK Takahashi

Key Points

  • The paper aims to create a framework for autonomous discovery and self-modification without the need for meta-evaluators.
  • Develops a coded evaluation package under public evidence.
  • Defines robust public risk and selector-based identities.
  • Analyzes comparison between packages for constitutional extension.
  • Introduces various constructs to maintain semantic control.
  • Proves no-improvement and non-worsening results under structural simulation.
  • Isolates deterministic public coarsening as a no-improvement case.
  • Demonstrates how internal computation can lead to public randomization.
  • Establishes a framework for auditable observable invention.

Abstract

This paper develops a constructive no-meta, observable-only framework for autonomous discovery, evaluator redesign, target expansion, constitutional drift, and self-modification under public evidence alone. The core object is a coded evaluation package with public transcript laws, feasible public actions, semantic target realizations, verifier-induced replay semantics, and transcript-indexed completion operators. Within this setting, the paper defines robust public risk and derives selector-based envelope identities, actionwise worst-case decomposition, local minimax duality, a common-action witness margin, and an oracle disambiguation gap for ambiguity-reduction limits. The paper then studies exact and approximate comparison between packages under constitutional extension. It proves no-improvement and non-worsening results under structural simulation, isolates deterministic public coarsening as a correct no-improvement case, shows how latent-only internal computation collapses to public randomization under action-pasting closure, and introduces legacy anchors, bounded coherent cocycles, constitutional atlases, and safe carrier quotient compression to preserve certified semantic control across long-lived system change. At the constructive layer, proposal triples, comparator domains, and benchmark covers are generated by predictable constitutional operators from public generator states rather than externally declared meta-evaluators. Replay semantics are verifier-induced; generator upgrades are judged by compiler-aware public-coding criteria; admissible target morphisms are constrained by witnessed predictive geometry; public carrier growth is controlled by time-filtered distributional or macro-action fallback; and constitutional exhaustion is defined through certified frontier non-improvement together with proof-of-search and residual-randomness certificates. The result is a first-principles framework for auditable observable invention and self-extension without hidden states or privileged referees. Archived on Arweave (Data Tx ID) PDF: ₛmjYCQQgmb89paQbaFZgwvNPHbnt2t4sjJvmJBLkGsTeX source: tiRygGDkDwnU5R8U9cPeOXWxx5jd-JbFyxlVBIFliBI

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Cite This Study

K Takahashi (2026) studied this question.

synapsesocial.com/papers/69cf5ecb5a333a821460d5f3https://doi.org/10.5281/zenodo.19363526
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