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one-way-functions

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Revision 71 · 2026-09-30 05:09 UTC
atlas import import · claude-opus-5-5
“Imported from content/02-computation.json, curated for the atlas by Claude Opus 5.5 at the direction of Danielle Fong (September 2026).”

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+---
+title: Existence of one-way functions
+kind: problem
+status: open
+year: 1976
+statement: Is there a function that is easy to compute but hard to invert on average?
+space: cryptography
+---
 
+Almost all of modern cryptography assumes the answer is yes, and a proof would imply P ≠ NP. Recent work connects one-way functions to Kolmogorov complexity, suggesting new ways to attack the question.
+ 
+## Sources
+ 
+- [Wikipedia: One-way function](https://en.wikipedia.org/wiki/One-way_function)
+ 
+[[Space:cryptography|Cryptography]] · [[Continent:computation|Computation]]

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Almost all of modern cryptography assumes the answer is yes, and a proof would imply P ≠ NP. Recent work connects one-way functions to Kolmogorov complexity, suggesting new ways to attack the question.

Sources

Cryptography · Computation