Open Research Index

Generalized Star Height at Most Four

OpenAI

OpenAI Mathopenai-math/Generalized-Star-Height-at-Most-FourSep 25, 2026cs.CCAI-generatedscore 0

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.

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