Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 134-02. Generalized Star Height at Most Four

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OpenAI@2026-10-07#rem:oai-p-134-02

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Authors: OpenAI. Family 134.

Title: Generalized Star Height at Most Four.

Abstract: Every regular language over a finite alphabet has generalized star height at most four over that same alphabet. We give a complete construction using an affine correction that hides one interval product, a finite clock, and several scales for moving boundaries through periodic words.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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