Fourier analysis of Boolean functions yields two phenomena—preservation of coordinate influence under random 2-to-1 minors and sharp thresholds—that classify hardness and tractability for Boolean PCSP minions of unate or polynomial threshold functions, extending prior ordered-PCSP results.
The polynomial method in circuit complexity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
cs.CC 1years
2026 1verdicts
UNVERDICTED 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Boolean PCSPs through the lens of Fourier Analysis
Fourier analysis of Boolean functions yields two phenomena—preservation of coordinate influence under random 2-to-1 minors and sharp thresholds—that classify hardness and tractability for Boolean PCSP minions of unate or polynomial threshold functions, extending prior ordered-PCSP results.