Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 128-01. A Polynomial-Time 2-Approximation for Shortest Common Superstring

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OpenAI@2026-10-07#rem:oai-p-128-01

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Authors: OpenAI. Family 128.

Title: A Polynomial-Time 2-Approximation for Shortest Common Superstring.

Abstract: We give a deterministic algorithm that, for every finite family of explicitly represented ordinary strings, outputs a common superstring of length at most twice the optimum in time polynomial in the total encoded input size, including symbol labels. The guarantee applies to the algorithm constructed here, not the classical maximum-overlap Greedy procedure.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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