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Author

Ian D'Ambrosio

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Preprint Aug 2026

Always-Correct Succinct Dynamic Fusion Nodes Are Impossible: A Cell-Probe Lower Bound in the Small-Set, Large-Universe Regime

Lean 4 checks the complete packed-memory and fresh-random indexed models, hard distribution, communication bounds, separator, nested-forest accounting, deterministic and Las Vegas lower bounds, strict-predecessor reduction, and redundancy corollaries.

Ian D'Ambrosio · 1 citation · ⚡1
Preprint Aug 2026

A Tight Linear Deterministic Competitive Ratio for Fully Online KV-Cache Scheduling

A fully online model for batching nonpreemptive LLM requests under a growing KV-cache memory constraint and it is proved that every deterministic algorithm has competitive ratio Omega(sqrt(n), while the elementary sequential upper bound is n.

Ian D'Ambrosio · 0 citations

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