{
  "abstract": "The Solvability Complexity Index (SCI) provides an extensional limit-height formalism for recovering a target map $Ξ$ from finite samples of an evaluation interface $Λ$ by finite-height towers of pointwise limits. At first sight this sounds like a typical Type-2 question, so it seems natural to ask how deep and rich the connection of SCI approximation questions and Type-2 computability questions is. This note aims to explain this connection further with explicit examples mostly from the literature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20378",
  "author_total": 1,
  "authors": [
    {
      "name": "Christopher Sorg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e83k38xpzp76s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20378",
  "fulltext_url": null,
  "id": "e83k38xpzp76s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20378",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.LO"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "1703|Computability, Logic, AI Algorithms"
    ]
  ],
  "openalex": "W7213589883",
  "pdf_url": "https://arxiv.org/pdf/2609.20378",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e83k38xpzp76s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.20378",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20378"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "From raw Solvability Complexity Index proofs to Weihrauch degrees",
  "title_text": "From raw Solvability Complexity Index proofs to Weihrauch degrees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/e83k38xpzp76s",
  "venue": "arXiv",
  "versions": []
}