Domain Algebra
Formal mathematics for domain-local semantics, composition, admissibility, closure, fixed points, and structure-preserving computational realization.
domainalgebra.org ↗Research Infrastructure
This page is intentionally broader than the Research page. It is where formal methods, software, educational resources, prototypes, datasets, governance structures, and field implementations can accumulate without turning the research architecture into a product catalogue.
Formal Methods & Specifications
Formal mathematics for domain-local semantics, composition, admissibility, closure, fixed points, and structure-preserving computational realization.
domainalgebra.org ↗Open · Is · But · Action · Result: a structured method for recording explicit cognition, differences, boundaries, action, and outcome.
Methods for making reasoning depth, cognitive conflict, judgment processes, and human cognitive capability observable.
Structured cognitive units and domain-contextualized graph structures used across executable cognition and governance implementations.
opencognitivegraph.org ↗Systems & Platforms
Cognitive structure, decision, assessment, and governance implementations, including OCG Book, AI Atlas, OCG Bench, OCG Assess, and AIR Governance.
Open OCG ↗A reasoning-record environment for implementation teams: not only what the system became, but how requirements, boundaries, decisions, and field judgment changed over time.
A longitudinal research account that records questions, hypotheses, evidence, revisions, and cognitive growth rather than only final results or grades.
Process-based scientific writing and research-team knowledge management built around the evolution of research thinking, not only final manuscript production.
OCG-based orchestration, recursive invocation, structured state, and LLM enhancement experiments.
Early-stage exploration of long-term personal cognitive infrastructure, memory, authorship, and intellectual continuity.
ownai.host ↗Education & Cognitive Learning
Books, cognitive maps, tutorials, agents, learning structures, and school-facing resources for AI literacy beyond tool use.
ailiteracy.online ↗Clojure, C++, graph algorithms, and related computing material taught through cognitive and structural methods for the AI era.
Connects classical algorithms to their application and interpretation in contemporary AI systems.
Early experiments using branching narrative and direct cognitive-graph visualization to make reasoning structure visible and trainable.
A language-learning direction based on understanding language generation and compositional structure rather than memorizing isolated surface forms.
Governance Infrastructure
Structured work across privacy, security, ethics, fairness, accountability, risk, and institutional governance.
Multi-jurisdiction legal and regulatory structures for comparing requirements and turning them into traceable compliance decisions.
Domain and jurisdiction overlays for environmental evidence, assessment judgment, regulatory response, and governance action.
View via OCG ↗Experimental Systems
Long-lived agents built from structured intent, state, boundaries, and event-driven action rather than one-shot task execution.
Experiments in autonomous coordination, transaction, exchange, and emergent behavior among persistent agents.
Applied DA work in areas including LLM enhancement and affective computing, kept separate from the mathematical definition of DA itself.
Use, Test, Extend