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PreprintarXiv licencearXiv

Counterexamples to the Monotone Completeness Conjecture

  • Jananan Arulseelan
  • James E. Hanson
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Abstract

Combining a modification of the recent counterexample to the quasitrace conjecture with model-theoretic reductions due to the first author, we exhibit a counterexample to the monotone completeness conjecture. We fully reproduce the disproof of the quasitrace conjecture by a modified construction and arguments.

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Cite

BibTeXRIS
BibTeX
@misc{arulseelan2026counterexamples,
  title = {{Counterexamples to the Monotone Completeness Conjecture}},
  author = {Jananan Arulseelan and James E. Hanson},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27184},
  eprint = {2610.27184},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27184},
}
RIS
TY  - UNPB
TI  - Counterexamples to the Monotone Completeness Conjecture
AU  - Jananan Arulseelan
AU  - James E. Hanson
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27184
UR  - https://arxiv.org/abs/2610.27184
AB  - Combining a modification of the recent counterexample to the quasitrace conjecture with model-theoretic reductions due to the first author, we exhibit a counterexample to the monotone completeness conjecture. We fully reproduce the disproof of the quasitrace conjecture by a modified construction and arguments.
ER  -