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A Note on Avoid vs MCSP

Published: December 25, 2025 | arXiv ID: 2512.21764v1

By: Edward A. Hirsch, Ilya Volkovich

A recent result of Ghentiyala, Li, and Stephens-Davidowitz (ECCC TR 25-210) shows that any language reducible to the Range Avoidance Problem via deterministic or randomized Turing reductions is contained in AM $\cap$ coAM. In this note, we present a different potential avenue for obtaining the same result via the Minimal Circuit Size Problem.

Category
Computer Science:
Computational Complexity