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Audit of claimed proof mechanisms for Frankl's union-closed sets conjecture, with reproducible finite checks.

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Frankl Conjecture Audit

DOI

Source package for a preprint auditing two claimed proof mechanisms for Frankl's union-closed sets conjecture and recording structural reductions for minimum counterexamples.

The paper does not claim a proof of Frankl's conjecture. It gives explicit finite counterexamples to two proposed proof mechanisms, plus independently checkable structural lemmas for the minimum-counterexample route.

Contents

  • frankl-conjecture-audit.tex - top-level paper source
  • frankl-conjecture-audit.bbl - generated bibliography used for source-package builds
  • references.bib - bibliography database
  • anc/verify_counterexamples.py - standard-library Python verifier for the A2 and Schrader counterexamples
  • 00README - source build descriptor
  • LICENSE - Creative Commons Attribution 4.0 International

Reproduce

pdflatex frankl-conjecture-audit.tex
bibtex frankl-conjecture-audit
pdflatex frankl-conjecture-audit.tex
pdflatex frankl-conjecture-audit.tex
python3 anc/verify_counterexamples.py --trace --exhaustive

Author: Nelson Daniel Spence, Project Navi.

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Audit of claimed proof mechanisms for Frankl's union-closed sets conjecture, with reproducible finite checks.

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