HayosoAiResearch portfolio

Research record

Papers and releases

Manuscripts, exact certificates, and release status.

Essays and philosophical inquiry

Research overview and demonstrations

ETI foundations

Correction-sufficient state, stochastic repair, and sequential revision under explicit mathematical models. Comparative performance remains to be tested.

The manuscripts and supplements below are public downloads. Their reproduction notes retain historical references to source repositories that are not currently public.

Preprint

Graffiti³ counterexample families

Unitriangular and dihedral families refute C20–C22 and C27–C28 in the specified Graffiti³ source version.

Preprint

Semiorder projection bounds

An all-size written argument bounds the projected ideal polygon under stated representation and geometric conventions; exact finite checks provide corroboration.

Preprint

Erdős–Gyárfás excess-degree bounds

For a counterexample minimizing vertices, then edges: |A| ≥ 2b+s+4, with the manuscript’s degree classes.

Exact certificate

Totient trajectory: F=104

F(400000287233629)=104 under the first-prime stopping convention; hence supₙ F(n) ≥ 104. The global problem remains open.

Models and studies

Correction-sufficient state and interactive example · Study 14 evaluation design · Detailed mathematical scope