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Runze Xue

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Logic×1Prog. Lang.×1Category Theory×1Logic×1

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2026
Topology in Synthetic Domain Theory and its Formalisation in Agda

This paper generalizes the Phoa principle in synthetic domain theory to transfinite cases, introduces sobriomorphisms, and proposes a hypothetical completeness theorem.

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Papers

cs.LOcs.PLmath.CTTheoreticalRecentJul 19, 2026

Topology in Synthetic Domain Theory and its Formalisation in Agda

Runze Xue

This paper generalizes the Phoa principle in synthetic domain theory to transfinite cases, introduces sobriomorphisms, and proposes a hypothetical completeness theorem.

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