Glossary of Core Terms, Notation, Interpretation Rules for the General Theory of Cognitive Structuring Series

This document provides a verification-oriented glossary and interpretive guide for the conceptual and formal vocabulary used across the General Theory of Cognitive Structuring series. Its purpose is not to replace the formal definitions developed in the individual papers, but to support accurate external reading, cross-paper reconstruction, and minimal verification of the framework. The document is intended for readers who need a stable interpretive layer across the series, including reviewers, editors, formal verifiers, and researchers approaching the theory from adjacent fields. The note focuses on reducing category errors and accidental substitutions in the interpretation of key terms. In particular, it clarifies distinctions between structural conditions and accessible signals, accessibility and representation, representation and manifestation, admissibility and mere occurrence, and trajectory-dependent state variables and ordinary-language notions of memory. The document includes: a glossary of core terms used across the series, a notation companion for recurring formal symbols, a table of disallowed substitutions to prevent common misreadings, a minimal verification protocol for external readers, priority rules for cross-paper consistency, and a paper-to-paper mapping table showing where major terms and components are introduced, formalized, or extended. This auxiliary note is intended as a public interpretive aid for the General Theory of Cognitive Structuring and should be read together with the formal papers in the series.