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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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An Explicit Reordered-Parity Family with Regular-Resolution Size and General-Resolution Width Lower Bounds

descriptionPublicationkeyboard_double_arrow_right Preprint 14 May 2026Publisher:Zenodo
Authors: Vera Gómez, Francisco Javier;

doi: 10.5281/zenodo.20183270 , 10.5281/zenodo.20183271

An Explicit Reordered-Parity Family with Regular-Resolution Size and General-Resolution Width Lower Bounds

Abstract

We describe an explicit family of contradictory reordered-parity formulas and reconstruct it as a bounded-degree Tseitin contradiction. The construction gives regular-resolution refutation size 2^Omega(sqrt(N)) and unrestricted general-resolution width Omega(sqrt(N)), while also documenting why the standard size-width route does not yield unrestricted general-resolution size for this grid-like family.

Draft preprint deposit. The reserved DOI becomes active only when the Zenodo record is published.

Keywords

Tseitin formulas, reordered parity, proof complexity, treewidth, resolution, SAT, regular resolution

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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