Topology of Grounding — Minamo Minamoto

Overview

This repository collects a series of working papers on the formal structure of grounding in cognitive and artificial systems. The central thesis: hallucination is not a calibration failure but a frame misactivation— a structural diagnosis with implications for both interpretability and the design of abductive capacity in language models. Papers build on a shared architecture of NAC (Negative Abductive Capability), SSC (Selection Stability Coefficient), and the Interpretive Stack as a model of non-destructive frame accumulation.

Key Concepts

NAC

Negative Abductive Capability — the ability to withhold commitment before frame selection consolidates.

SSC

Selection Stability Coefficient — post-commitment frame coherence, defined independently of task specification T.

Interpretive Stack

Frames are never deleted; suppressed frames are archived and remain accessible for re-activation.

Alternative-Frame Index

The indexing structure over archived frames; enables structured revision without abductive regression.

Frame Misactivation

Hallucination reframed as incorrect frame selection — not noise, but a deterministic structural error.

Paper Dependency Structure

Logical dependency graph of the working paper series

Papers

Topological Formalization of Grounding topology_grounding.pdf Foundational Framework

PDF 記号接地はバイナリではない

Cognitive-Linguistic-Action Grounding Model cgla_grounding.pdf — 認知・言語・行為接地モデル CGLA Architecture

PDF AIの「理解」をハードウェアが縛る理由

Abduction Overwrite: Negative Abductive Capability abduction_overwrite.pdf — NAC の形式化 NAC — Pre-Commitment Suspension

PDF 推論の力は保留する力に依存する

Abductive Accumulation: SSC and the Interpretive Stack abductive_accumulation.pdf — 選択安定性・フレーム蓄積 SSC · Interpretive Stack

PDF エラーは消え去らない。ただ抑圧されるのみ

Hallucination as Frame Misactivation: A Structural Taxonomy hallucination_framing.pdf — ハルシネーション＝フレーム誤作動 Frame Misactivation Taxonomy

PDF ハルシネーションの構造的解明

AI Accumulation Note ai_accumulation_note.pdf — AI蓄積ノート Extended Commentary

PDF ファインチューニングは修正ではない

Behavioral Equivalence Without Representational Equivalence parus_minor_metric_grounding.pdf — Parus minor コミュニケーションとメトリック接地 Case Study · RSA Prediction · math.CO (arXiv pending)

PDF

Alternative-Frame Index: Compaction Commentary compaction_commentary.pdf — arXiv endorsement待ち Awaiting arXiv Endorsement

PDF

Related Work

Ongoing work in extremal graph theory: lower bounds for C₄-free subgraphs of hypercubes Q₇ and Q₈, combining ILP, simulated annealing, and SAT encoding approaches.

arXiv:2603.29127 — New Lower Bounds for C₄-Free Subgraphs of Q₇ and Q₈

Presentation Slides (The Topology of Symbol Grounding)

13 slides — click to enlarge. Full article at zenn.dev/minamominamoto.

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