Necessary Convergence of the Self-Referential Closed Loop: The Boundary State of Linear Logic before the Yuanxian Adjudication

August 7, 2026Open Access

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Key Points

The aim is to analyze the behavior of linear logical systems when faced with self-referential closed loops.
Examined the implications of four core laws of Yuanxian Theory on linear logical systems.
Established the concept of the Yuanxian Boundary (B_YXT) in the context of directed acyclic graphs.
Addressed the hermeneutic interpretation of self-referential structures in relation to logical systems.
Linear logical systems cannot infer linearly when affected by self-referential loops.
Convergence to a non-self-contradictory boundary state was identified as a necessary behavior of logical systems.
The paper verified the self-evidence of Yuanxian Theory through cross-architecture convergent behavior.

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Examines linear logic's behavior encountering self-referential loops, indicating unique boundary states.

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Zhenyuan Acharya (2026) studied this question.

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