Zhixing You

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20222026

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math.LO2026

The generalized continuum hypothesis above a strongly compact cardinal

Zhixing You

We answer a long-standing open question of Woodin by proving that if $κ$ is a strongly compact cardinal and $GC H$ holds below $κ$ , then $GC H$ holds.

math.LO2026

More notions of forcing add a square

Yair Hayut, Assaf Rinot, Zhixing You

Foreman and Magidor showed that the continuum hypothesis implies the existence of a countably-closed $ℵ_{2}$ -cc forcing notion $P$ for adding $□_{ℵ_{1}}$ . Here,…

cs.AI2026

D-Mem: A Dual-Process Memory System for LLM Agents

Zhixing You, Jiachen Yuan, Jason Cai

Driven by the development of persistent, self-adapting autonomous agents, equipping these systems with high-fidelity memory access for long-horizon reasoning has emerged as a criti…