Skip to content

daedalus/alphaproof-nexus

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

31 Commits
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

AlphaProof Nexus

Repository of Lean 4 formalizations for open Erdős problems, evolved via AlphaProof Nexus (arXiv:2605.22763) evolutionary proof search.

Problems

# Title Status Dir
1 Sum-distinct sets Proof complete (0 sorries) problems/1/
25 Congruence-avoiding sets 10 sorries (1 open) problems/25/
364 Consecutive powerful numbers 0 errors, 1 sorry problems/364/
634 Triangle tilings 0 errors, 3 sorries problems/634/

All 628 open Erdős problems have directories under problems/N/.

Quick start

lean problems/25/Erdos25.lean
lean problems/25/population/member_04_gen1_head_truncation.lean
lean problems/634/population/member_07_gen7_geometric_obstruction.lean
lean problems/1/Erdos1.lean
lean problems/1/population/member_05_champion.lean

Requires Lean 4.29.1, lean on PATH.

See AGENTS.md for full workflow documentation.

About

AlphaProof Nexus evolution on Erdős Problem #25 — does every congruence-avoiding set have a logarithmic density? Open problem, formalized in Lean 4.

Topics

Resources

Stars

Watchers

Forks

Releases

No releases published

Packages

 
 
 

Contributors