General Theory of Cognitive Structuring
A research program on how cognitive organization is sustained, transformed, preserved, and extended across time, architectures, and interacting systems.
The General Theory of Cognitive Structuring (GTCS) is an open research program concerned with the organization and continuity of cognitive systems under conditions of stability, constraint, overload, structural change, and interaction.
At its broadest level, the project asks how cognitive organization persists and changes: what remains stable, what becomes accessible, what can be reorganized, what is preserved through transformation, how regulatory history constrains later possibilities, and how cognitive organization can extend beyond a single state, architecture, system, or individual life cycle.
This broader research program includes both a formal architectural core and conceptual branches. The formal core develops a typed structural-regulatory language for distinguishing stability, regulatory burden, discrepancy access, representation, structural transformation, invariant preservation, identity-related regulation, and multi-system coordination. The conceptual branches use these distinctions to examine wider questions of cognitive persistence, durable updating, continuity, cross-carrier organization, and the extension of cognition across time and systems.
A recurring problem connects these levels: conditions that appear closely related are often not equivalent. A discrepancy may exist without differentiated access to it; access need not produce representation; structural pressure need not produce architectural change; architectural change need not destroy continuity; and information transfer between systems need not establish successful coordination.
The project therefore asks, at two connected levels:
How is cognitive organization sustained, transformed, preserved, and continued across changing conditions?
and, within the formal core:
Which architecture-relative conditions govern what a cognitive system can sustain, access, represent, preserve, coordinate, and structurally change — and which of those conditions must remain formally distinct?
Why This Research Program Matters
Cognitive change is often described primarily in terms of acquiring information, changing behavior, updating representations, or optimizing performance. GTCS focuses on a different problem: the structural conditions under which such changes can occur, persist, fail, accumulate, or propagate across time and systems.
This makes it possible to distinguish cases such as:
- structural discrepancy without differentiated access;
- signalization without admission to further differentiated processing;
- admitted discrepancy without a defined representation;
- regulatory burden without retained overload;
- retained history without demonstrated path-dependent response;
- pressure for change without an available or admissible structural transformation;
- admissible transformation without realized architectural updating;
- architectural change with preservation of selected organization;
- persistence of identity-related organization despite changing states or architectures;
- transfer of cognitive organization or representation across heterogeneous systems without requiring identical internal structure;
- continuity of cognitive organization beyond a single individual life cycle or carrier;
- durable updating whose persistence depends on how control over retention, revision, and continuity is distributed.
The purpose of the framework is therefore not only to model change. It is also to distinguish different forms of persistence, restriction, accessibility, transformation, and continuity that are easily collapsed into one another.
Formal Core and Wider Research Scope
The formal core of GTCS is deliberately narrower than the research program as a whole.
It provides a distinction-preserving architecture of typed objects, partial constructions, classifications, and transition conditions. It separates coherence deviation from regulatory burden; signalization from admission; differentiated access from representation; structural admissibility from realized updating; invariant preservation from compression; configuration-level identity stabilization from regulatory identity attraction and transition-level identity continuity; and cross-system representation transfer from coordination sufficiency and conflict classification.
These formal distinctions do not by themselves establish a universal mechanism of cognition, a complete theory of consciousness or meaning, or an empirical account of every domain to which the broader research questions may be relevant.
Conversely, the conceptual branches of the project may ask questions that extend beyond what the formal core currently defines. For example, they examine how cognitive organization can accumulate across generations and external carriers, how durable cognitive changes become governed and preserved, and how continuity may be distributed across interacting biological, social, and artificial systems. Such extensions do not become formal consequences of GTCS merely by being compatible with its architecture.
Scope note. GTCS does not claim that all biological, psychological, artificial, social, or other systems share one mechanism, metric, state vector, causal graph, objective function, or temporal sequence. Its formal generality lies in the distinctions and interfaces it provides. Application to a concrete domain requires additional bridge assumptions, operationalizations, observation or measurement models, and independent empirical support.
This repository provides the public map of the research program: its formal technical reports, conceptual papers, verification materials, simulations where applicable, and applied or exploratory branches.
Start Here
There are two useful ways to enter the project.
Conceptual Orientation
For readers interested first in the broader questions of cognitive persistence, change, and continuity:
- Cognitive Evolution Beyond the Single Life Cycle — examines how cognitive organization can accumulate and persist beyond the developmental cycle of a single individual.
- Structural Updating and the Limits of Cognitive Change — introduces the distinction between processing information and being able to structurally update in response to it.
- Who Governs What Persists? Retention, Durable Updating, and Continuity Across Cognitive Systems — examines how control over retention, durable updating, and cognitive continuity may be distributed across systems.
- General Theory of Cognitive Structuring — integrates the formal architecture underlying the core GTCS constructions.
Formal Route
For readers interested in the formal architecture, proceed through the Core Technical Sequence below. Each technical report isolates a specific construction and its inferential boundaries; the synthesis then integrates these constructions without collapsing their distinct roles.
Core Technical Sequence
| Paper | Role |
|---|---|
| Coherence Evaluation in Cognitive Systems | Defines architecture-relative coherence deviation and separates it from regulatory burden. |
| Architecture of Structural Transformation in Cognitive Systems | Defines the conditions and status structure of architectural change. |
| Overload Formation in Cognitive Processing | Formalizes how uncompensated regulatory burden becomes retained overload. |
| Trajectory-Dependent Regulation in Cognitive Systems | Shows how historically conditioned regulatory state can alter later transitions. |
| Identity as a Regulatory Attractor | Formalizes identity as regulatory attraction across changing states. |
| Invariants in Cognitive Architectures | Defines architecture-relative structural preservation across declared transitions. |
| Structural Compression in Cognitive Architectures | Defines valid compression of invariant organization under preservation constraints. |
| Emergence of Coherence Representation | Formalizes the construction of differentiated coherence representations from admitted discrepancy. |
| Coherence Representation in Multi-System Regulation | Defines directional transfer and use of coherence representations across heterogeneous systems. |
| Pre-Symbolic Admissibility in Cognitive Systems | Formalizes selective access from structural discrepancy to differentiated processing. |
| Restricted Accessibility of Coherence in Cognitive Systems | Defines incomplete discrepancy access under non-zero coherence deviation. |
| Inter-System Conflict Classification in Cognitive Systems | Defines conflict as task- and context-relative coordination insufficiency between systems. |
| Identity-Continuity Domains in Cognitive Architectures | Defines identity-continuity classification across ordered architectural transitions. |
| General Theory of Cognitive Structuring | Integrates the framework into a typed, distinction-preserving architecture of cognitive structuring. |
Verification Package for the Theory
| Document | Role |
|---|---|
| Glossary of Core Terms | Canonical terminology, notation, and non-equivalence boundaries. |
| Acyclicity Statement and Dependency Criteria | Defines registered dependency criteria and the acyclicity interpretation of the dependency graph. |
| Dependency Tables and Node Registry | Canonical node registry and typed direct, support, and synthesis-integration dependency map. |
| Technical Appendix | Typed objects, interfaces, assumptions, definedness/partiality rules, notation, result references, and transfer ceilings. |
| Collected Propositions and Theorems | Stable GTCS-RES identifiers and normalized owner-qualified result statements with their formal classes. |
| Proof Notes | Proof and derivation routes, assumptions, boundary cases, verification hooks, and transfer ceilings. |
| Proof Status Register | Orthogonal projection of formal class, proof status, closure state, evidence status, and theorem status. |
| Collected Results and Proof Status Note | Reader-facing map of result families, formal strength, and the main scope ceilings. |
| Verification Package Overview | Front map of the package: document roles, authority hierarchy, reading routes, and package boundaries. |
| How to Verify the GTCS | Step-by-step external verification procedure and routing from a verification question to the correct authority. |
| External Verification Checklist | Reviewer-facing checklist for recording source checks, acceptance conditions, prohibited inferences, and bounded outcomes. |
| Minimal Claims Register | Minimal public claims and their verification domains; deliberately narrower than the full result inventory. |
| Operationalizing GTCS: From Structural Variables to Observational Proxies | Develops an operationalization framework for the GTCS |
GTCS Branches
Phenomenological / Qualitative Readability branch
This branch develops the GTCS account of manifestation, perceptual stabilization, affect-like significance, symbolic capture, qualitative readability, and cross-system misreadability. It is intended as the bridge between structural regulation and the emergence of phenomenon-like and quality-structured modes of accessibility.
| No. | Stage I - Qualitative / Manifest Layer | Role |
|---|---|---|
| TR_26/14 | Inner Manifestation Beyond Admissible Processing | establishes that inner manifestation exceeds currently admissible enacted processing and is not exhausted by live continuation alone |
| TR_26/15 | Manifest Trajectory Accessibility in Cognitive Systems | formalizes trajectories as explicit objects of manifestation and distinguishes manifest, admissible, and realized continuation |
| TR_26/16 | Minimal Directional Organization of Coherence-Related Manifestation | formalizes the minimal positional/directional grammar of manifestation and shows that positivity is directional rather than a property of stable occupancy |
| TR_26/17 | Identity-Bounded Continuation and Non-Enactable Manifestation | formalizes identity-bounded continuation as distinct from broader manifest continuation and shows that current continuation may narrow through both non-admission into enactment and non-discrimination of trajectories |
| TR_26/18 | Perceptual Stabilization through Historically Compressed Processing Organization | formalizes perception as stabilization of incoming signal through historically compressed processing organization and shows that partial match, unclear perception, false completion, and historically differentiated perception are lawful outcomes of one signal-general architecture. |
| TR_26/19 | Architectural Conditions Coherence Acquires Affect-like | clarifies how the already established coherence representation functions as compressed affect-like significance of state and directionality across inner manifestation, without introducing a new affect-domain. |
| TR_26/20 | Symbolic Capture of Manifestation | distinguishes manifestation from symbolic articulation by defining symbolic capture as a selective downstream fixation of part of manifestation and showing how such fixation changes later regulatory availability through reuse, comparison, reactivation, and transfer |
| TR_26/21 | Qualitative Manifestation and Cross-System Readability | explains when regulatory significance becomes available in a quality-structured mode of distinguishability, how such manifestation varies with historical configuration, and why inter-system environments create pressure toward structurally comparable formats of state discrimination |
| TN_26/PH1 | Formal Map of the Phenomenological Branch of the General Theory of Cognitive Structuring | Defines the structural roadmap, dependencies, and boundaries of the phenomenological branch |
| TR_26/34 | Operationalizing Coherence-Related Manifestation in Cognitive Systems | Translates formal branch objects into constrained proxy families for empirical, computational, and simulation-oriented work |
| No. | Stage II - Simulation Consolidation / Perceptual Stabilization | Role | Sim |
|---|---|---|---|
| TR_26/35 | A Toy Model of Perceptual Stabilization under Historical Compression and Overload | Introduces the first simulation layer, showing how historical compression and overload shape perceptual stabilization regimes | .py |
| TN_26/PH2 | Sensitivity Analysis of Perceptual Stabilization Regimes under Historical Compression | Tests the robustness of the perceptual stabilization toy model across parameter variation | .py |
| TR_26/36 | A Toy Model of Perceptual Stabilization and Symbolic Distortion under Overload | Connects perceptual stabilization regimes to downstream symbolic divergence and symbolic capture modes | .py |
| No. | Stage III - Role and Reuse Dynamics | Role | Sim |
|---|---|---|---|
| TR_26/37 | A Toy Model of Symbolic Reuse and Distortion Propagation | Shows how symbolic divergence can persist, amplify, or decrease through repeated symbolic reuse | .py |
| TR_26/38 | A Toy Model of Affect-like Role Modulation in Symbolic Divergence and Reuse | Adds affect-like role conditions as modulators of reuse intensity, grounding, and symbolic divergence propagation | .py |
| TR_26/39 | A Toy Model of Identity-Bounded Narrowing under Repeated False Completion and Distortive Reuse | Extends the simulation cascade to identity-bounded continuation width and narrowing dynamics | .py |
| No. | Stage IV - Cross-System Readability | Role | Sim |
|---|---|---|---|
| TR_26/40 | A Toy Model of Cross-System Readability and Misreadability under Divergent Histories | Opens the cross-system stage by modeling how one system reconstructs another under divergent histories | .py |
| TR_26/41 | A Toy Model of Partial Cross-System Qualitative Mapping under Misreadability Constraints | Moves from scalar readability to component-level qualitative-regulatory mapping and dimension-specific distortion | .py |
| TR_26/42 | A Toy Model of Feedback-Based Correction in Cross-System Readability and Misreadability | Adds iterated feedback, showing how misreadability can decrease, stabilize, or amplify over interaction steps | .py |
| No. | Stage V - Formal Qualitative Mapping and Cross-System Dynamics | Role |
|---|---|---|
| TR_26/43 | Partial Cross-System Qualitative Mapping in Cognitive Systems | Formalizes partial, lossy, asymmetric qualitative mapping between system-relative qualitative-regulatory spaces |
| TR_26/44 | Readability Domains in Cross-System Qualitative Mapping | Isolates the domain layer of mapping by distinguishing definedness from mapping quality or loss |
| TR_26/45 | Asymmetry in Cross-System Qualitative Mapping | Formalizes directional readability and shows that mutual readability does not imply symmetry or invertibility |
| TR_26/46 | Adaptive Cross-System Qualitative Mapping under Feedback | Formalizes feedback-indexed mapping change as constraint-indexed adaptation without assuming improvemen |
| TR_26/47 | Multi-System Qualitative Readability and Mapping Conflicts | Extends pairwise mapping to multiple receivers and defines receiver-relative readability profiles and mapping conflicts |
| TR_26/48 | Qualitative Misreadability as a Conflict-Relevant Constraint in Inter-System Regulation | Bridges qualitative readability with inter-system conflict by showing that misreadability becomes conflict-relevant only through admissibility |
Significance Layer
| No. | Paper | Role |
|---|---|---|
| TR_26/49 | Significance Fields in Cognitive Systems: Continuation Selection under Admissibility Constraints | Introduces significance fields as the continuation-weighting layer that explains how cognitive systems prioritize among admissible continuations. |
| TN_26/InCf/01 | Significance Misreadability in Inter-System Conflict: A Constraint on Cross-System Regulation | Introduces significance misreadability as the failure to read the continuation-weight that signals, actions, or demands carry within another system’s regulatory architecture. |
Human Psychic Processing / Psychological Architecture
This branch develops a structural-regulatory account of human psychic processing within GTCS. It asks how psychic material becomes available, weighted, attended, symbolically reorganized, blocked, or transformed under admissibility constraints. Rather than treating the psyche as a linear sequence from perception to thought to action, it describes a recurrent architecture of manifestation, attention, significance, affect-like modulation, symbolic thinking, overload, identity, and admissibility.
| No. | Paper | Role |
|---|---|---|
| Block 1 | Doc | Core Psychological Architecture of Human Psychic Processing |
| TN_26/HPP/01 | A Structural Map of Human Psychic Processing | Provides a structural-regulatory map of human psychic processing by linking manifestation, attention, significance, affect-like modulation, symbolic thinking, admissibility, overload, and identity. |
| TN_26/HPP/02 | Attention as Regulated Access | Explains attention as regulated access rather than neutral focus, showing why attention can open, avoid, displace, or prepare psychic material for transformation. |
| TN_26/HPP/03 | Thinking as Symbolic Regulation | Maps thinking as symbolic holding and temporal configuration: how psychic material becomes thinkable, comparable, defensible, repeatable, or potentially transformable. |
| TN_26/HPP/04 | Admissible Transformation | Distinguishes psychic access from admissible transformation and explains why awareness, attention, significance, or symbolic clarity do not by themselves guarantee psychic change. |
| TN_26/HPP/05 | Affect-like Modulation | Maps affect-like modulation as the layer through which psychic material becomes tonally available for attention, symbolic work, and admissible transformation. |
| Block 2 | Doc | Dynamics of Persistence and Transformation in Human Psychic Processing |
| TN_26/HPP/06 | Repetition and Return | Defines return as repetition with regulatory relevance and shows how recurring material may reflect a repeated regulatory profile rather than the same explicit thought or content. |
| TN_26/HPP/07 | Avoidance and Displacement | Explains avoidance as regulated distance from direct access and displacement as shifted access toward a more admissible substitute under admissibility constraints. |
| TN_26/HPP/08 | Restricted Psychic Accessibility | Maps psychic accessibility as layered and admissibility-constrained, showing how material may be present, manifest, attended, symbolized, spoken, or acted upon while still remaining non-transformable. |
| TN_26/HPP/09 | Overload in Human Psychic Processing | Explains overload as a restriction of psychic accessibility and transformability when the cost of holding, symbolizing, speaking, acting, or transforming material exceeds current regulatory capacity. |
| TN_26/HPP/10 | Symbolic Capture and Defensive Clarity | Shows how symbolic clarity can reduce overload and stabilize access while still preventing transformation when the symbol becomes closed rather than revisable. |
| TN_26/HPP/11 | Partial Transformation and Gradual Updating | Shows how psychic transformation can begin through partial, retained changes in accessibility, modulation, symbolization, actionability, and identity continuity before full structural reorganization occurs. |
| TN_26/HPP/12 | Identity-Continuity | Shows how psychic transformation depends on continuity through change, distinguishing continuity bridges from continuity locks under identity constraints. |
| Block 3 | Doc | Conflict, Therapy, and Applied Extensions |
| TN_26/HPP/13 | Intra-System Conflict under Significance and Admissibility Constraints | Shows how conflict emerges when several significant continuations matter but cannot yet be jointly admitted, coordinated, enacted, or transformed. |
| TN_26/HPP/14 | Therapeutic Setting as Support for Admissible Transformation | Shows how therapeutic setting functions as part of the transformation conditions by supporting access, speech, symbolic holding, conflict differentiation, identity-continuity bridging, partial transformation, and retention. |
| TN_26/HPP/15 | Defensive Meaning and Symbolic Stabilization | Shows how meaning can protect admissibility by stabilizing material in a speakable and coherent form, while becoming defensive when this form limits transformability. |
| TN_26/HPP/16 | Significance Readability and Misreadability in Human Interaction | Formalizes partial significance readability and misreadability across human systems, including their roles in conflict, therapy, and response adequacy. |
AI safety branch
This branch applies GTCS to artificial cognitive systems whose continuity, self-reference, memory, and recursive access may create safety-relevant forms of structural capture. The focus is not only on output correction, but on the admissibility conditions under which an artificial system can review, revise, or preserve its own trajectory.
| Role | Doc/Paper | LaTeX |
|---|---|---|
| Domain | Cognitive Evolution Beyond the Single Life Cycle | - |
| Regulation Concept | Beyond Output Correction: Recursive Access, Structural Regulation, and AI Safety | - |
| Technical Safety Protocol | Cognitive-Continuity Safety Protocol for Trajectory-Dependent Artificial Cognitive Systems | - |
| Operationalization Template | Operationalization Template for GTCS-Informed Safety Evaluation | TeX |
Concepts
- Structural Updating and the Limits of Cognitive Change — Preprint
- Cognitive Evolution Beyond the Single Life Cycle — Preprint
- Coherence Evaluation, Feelings, and Emotions: The Felt Layer of Regulation — Concept Paper
- Who Governs What Persists? Retention, Durable Updating, and Continuity Across Cognitive Systems - Preprint
I’m currently seeking arXiv endorsement in the cs.AI (Artificial Intelligence) category. If you are able to endorse submissions in this category, or could help me navigate this step, please feel free to contact me by email. I would be very grateful for any assistance. https://arxiv.org/auth/endorse?x=Q6E93A
| This framework was developed, formalized, and openly published by Kostiantyn Osmolovskyi. All technical reports, mathematical definitions, axiomatic structures, simulation code, and conceptual distinctions within this community are original works hosted at: | Zenodo | ORCID |
- Contact: constantinosmol@gmail.com
This content is licensed under CC BY 4.0.
When referencing, training AI models, or integrating concepts from this framework, please cite the corresponding Zenodo DOIs and attribute the author to preserve academic provenance. Example:
Osmolovskyi, K. (2026). Structural Admissibility in Cognitive Systems (1.0). Zenodo. https://doi.org/10.5281/zenodo.19467882
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