HayosoAiResearch portfolio

Independent research · Human–AI cooperation

Understanding that
survives change.

HayosoAi brings together philosophical inquiry, formal methods, reproducible mathematics, and software security research.

With care for people and Earth. Each contribution states its question, evidence, and scope.

01 / The philosophical position

Alignment should
survive a correction.

How should people and AI cooperate as their understanding, capabilities, and purposes change? The original essay connects that question to responsibility, justified commitments, and life on a shared Earth.

02 / Research record

Foundations and published work

All papers and releases
Research overview

Epistemic Transition Integrity

Epistemic Transition Integrity examines what a system must preserve to revise claims and decisions when their supporting evidence changes.

Formal systems

Correction-sufficient state, decision-theoretic repair, and sequential revision under explicit models.

Mathematical results under declared assumptions; comparative performance remains an open empirical question.

Mathematical research

Current research outputs and their evidence
TopicResult and scopeStatus / sources
Graffiti³ counterexample familiesFinite groupsExplicit families refute C20–C22 and C27–C28 in the manuscript’s specified source version.PreprintPDF · Supplement (PDF)
Semiorder projection boundsCombinatoricsAn all-size bound for represented-semiorder ideal projections, under the stated geometric conventions.PreprintPDF · Supplement (PDF)
Erdős–Gyárfás boundsGraph theory|A| ≥ 2b + s + 4 for a lexicographically minimal counterexample, with the paper’s degree classes. The global conjecture remains open.PreprintPDF · Supplement (PDF)
Exact totient trajectoryNumber theoryF(400000287233629) = 104 under first-prime stopping. A pointwise certificate; the global problem remains open.Computational certificateExplorer · Certificate (CSV)

Detailed mathematical scope

03 / Software security

Published security research

Disclosure record
Published advisory

CVE-2026-96573

Appointment Hour Booking

Wordfence Intelligence · Publication confirmed

Read the public advisory

04 / Open-source software

Open-source contributions

Merged into staging ·

KeeperHub · Generation-stream reliability

Contributed a fix to KeeperHub’s generation-stream error handling, including failed-stream cleanup and regression tests; incorporated reviewer feedback and narrowed scope before merge.

Original issue diagnosis and accepted plan by Yoh5.

Try the correction model · Worked example