Gregory Lacefield

Independent systems architect and researcher, self-taught, evidence-first. Designer of the Non-Collapsible Four-Channel Architecture (NCFCA) — a provenance-tracked state estimation architecture with a formal proof checked line by line, a real security vulnerability found and closed, and a growing library of registered, classified reasoning kernels. Seven years of prior GED mathematics instruction is real, documented experience — not the current focus.

Every piece of work linked below carries its own trail back to source: proofs, test logs, and raw results live on the lab site, not just claims on this page. If a page here says something works, there's a document one click away showing how it was tested.

Start here

Flagship — Mathematics The NCFCA Proof Formal proof and engineering framework for non-collapsible, multi-channel adaptive state estimation. Built ↗ full version chain, v1.0 → v3.7 current Flagship — White Paper Evaluation & Threat Model Full evaluation package: what the system does, how it was attacked, what held. Built ↗ on the lab site

Current Research · pending pilot approval LVRM GED Pilot Proposal Applying the estimation framework to instructional design and GED outcome prediction. Publishes once the pilot is approved

Qualification by field

Two-page evidenced summaries, each closing with a link to the underlying proof on the lab site.

Systems Architecture / State Estimation Engineering Formal Methods / Mathematical Verification Adversarial / Security Testing Software QA / Verification Engineering Applied Statistics / Quantitative Backtesting Educational Technology / Instructional Design AI Systems Evaluation / LLM Auditing

Teaching background

Seven years of prior GED mathematics instruction — real, documented, and still the evidentiary basis for the Instructional Design field above. Not the current focus of the work.

How I Teach Twelve evidence-reviewed white papers on mathematics instruction.

Tutoring

Math and GED/test-prep tutoring in the Las Vegas area — algebra through differential equations, specializing in students who've struggled with conventional instruction. Book on Superprof ↗