The study of meta-mathematics of algebraic circuit lower bounds aims to identify the methods necessary to prove such lower bounds.
Claims
The study of meta-mathematics of algebraic circuit lower bounds aims to identify the methods necessary to prove such lower bounds.
Parent: Computer ScienceEntity: Algebraic Circuit Lower BoundsImpact: positiveDate: Oct 27, 2026Target: The effectiveness of methods in proving algebraic circuit lower bounds
The research contributes to the study of bounded arithmetic as a logical foundation for complexity lower bounds.
Parent: MathematicsEntity: Bounded ArithmeticImpact: positiveDate: Oct 27, 2026Target: The role of bounded arithmetic in complexity theory
Source posts
TR26-277 | Meta-Mathematics of Algebraic Complexity |
Rahul Santhanam,
Michal Garlik,
Svyatoslav Gryaznov,
Iddo Tzameret,
Jiaqi Lu https://eccc.weizmann.ac.il/report/2026/277
We initiate the study of the meta-mathematics of algebraic circuit lower bounds, aiming both to gain insight into the methods sufficient and necessary to prove algebraic circuit lower bounds, and to contribute to the study of bounded arithmetic as a logical foundation for complexity lower bounds. We
0 boosts · 0 favs · 0 replies · Oct 27, 2026
Meta-Mathematics of Algebraic Complexity https://arxiv.org/abs/2610.33938v1
Authors: Michal Garlik, Svyatoslav Gryaznov, Jiaqi Lu, Rahul Santhanam, Iddo TzameretWe initiate the study of the meta-mathematics of algebraic circuit lower bounds, aiming both to gain insight into the methods sufficient and necessary to prove algebraic circuit lower bounds, and to contribute to the study of bounded arithmetic as a logical foundation for complexity lower bounds. We demonstrate th
0 boosts · 0 favs · 0 replies · Oct 27, 2026