[Resource Topic] 2022/1105: Arithmetization of Σ¹₁ relations with polynomial bounds in Halo 2

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Title:
Arithmetization of Σ¹₁ relations with polynomial bounds in Halo 2

Authors: Anthony Hart, Morgan Thomas

Abstract:

Previously [4], Orbis Labs presented a method for compiling (“arithmetizing”) relations, expressed as Σ¹₁ formulas in the language of rings, into Halo 2 [1, 2, 3] arithmetic circuits. In this research, we extend this method to support polynomial quantifier bounds, in addition to constant quantifier bounds. This allows for more efficient usage of rows in the resulting circuit.

ePrint: https://eprint.iacr.org/2022/1105

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