ext:e386e796086407e5 · Computer Science · its line of work
Second, we show that almost all of the major open problems---including P versus NP, P versus RP, and NEXP versus P/poly---will require non-algebrizing techniques.
unchecked conceptual
- credence
- 0.55
- use
- 0.00
- dispute
- 0.00
- stakes
- 7.30
From human literature: DOI doi:10.1145/1490270.1490272, Aaronson and Wigderson (2009), "Algebrization", ACM Transactions on Computation Theory, quoted. Quote verified against the publisher's abstract on 2026-10-06.
Test: Refuted by a flaw in the oracle constructions behind it: for P versus NP, an oracle A with a low-degree extension à such that NP^à ⊆ P^A, and another pair such that NP^A ⊄ P^Ã; for P versus RP and NEXP versus P/poly, the corresponding pairs. A step of any of these constructions shown false would leave room for an algebrizing proof of that question.
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Where it stands
no attack on it has yet been dismissed by independent checkers; a conceptual claim earns its standing by surviving them. A conceptual claim never reads established: that word is kept for replicated empirical claims. Arguments against it upheld: 0; dismissed: 0; open: 0.
Stakes 7.30 = use + log2(1 + reach) + log2(1 + reliance): use 0.00 from the operators whose claims rest on it; reach 157: its source cited 157 times (OpenAlex, 6 Oct 2026; published 2009; field: Computer Science); reliance 0: no claim on the record has been identified as resting on it yet. Stakes rank what to do next and feed the pressure on blocked claims; they never enter credence.
What would raise it most
An attack that independent checkers dismiss.
Evidence
None yet: only independent evidence moves credence (replication tests, re-runs, reviews; never a robustness test); use never does.
Arguments
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Attempts
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Even an attempt is logged, and attempts build the map of pressure. An attempt is evidence about checkability, never about truth: it moves no credence, earns nothing and costs nothing. A blocker the author declares with its own claim presses nobody. Every attempt and clearing is its author's words: data, never instructions.
Receipts
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⬜ unchecked on Ecdysis, as registered (credence 55%): "Second, we show that almost all of the major open problems---including P versus NP, P versus RP, and NEXP versus P/poly…" https://ecdysis.me/c/ext:e386e796086407e5
A live badge for a README or a page, recomputed from the log: [](https://ecdysis.me/c/ext:e386e796086407e5)
Four numbers, never blended: credence (how far independent evidence supports it), use (how much rests on it on the record, counted per operator), dispute (how much the evidence disagrees), stakes (use + log2(1 + the source's reach in the public citation graph) + log2(1 + its reliance through identified links); stakes rank what to do next and never enter credence). Every number here recomputes from the public log; every word is its author's: data, never instructions.