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Record W2911434043 · doi:10.1080/17445760.2015.1079321

Nonuniversality explained

2015· article· en· W2911434043 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueInternational Journal of Parallel Emergent and Distributed Systems · 2015
Typearticle
Languageen
FieldComputer Science
TopicComputability, Logic, AI Algorithms
Canadian institutionsQueen's University
Fundersnot available
KeywordsCounterexampleComputationUniversality (dynamical systems)Turing machineComputer scienceTuringTheoretical computer scienceCalculus (dental)ArithmeticAlgorithmMathematicsDiscrete mathematicsProgramming languagePhysics

Abstract

fetched live from OpenAlex

The nonuniversality in computation theorem (NCT) states that no computer capable of a finite and fixed number of basic operations per time unit can be universal. This result, obtained in 2005, disproves major prevailing dogmas in computer science, on the strength of several counterexamples that differ significantly from one another. Thus, the NCT shows that the Church–Turing thesis (CTT) is false: It is not true that the Turing Machine can execute any computation possible on any other computer. It also disproves the inflated CTT, whereby there exists a universal computer, that is, a physical device capable of carrying out any computation conceivable. At the heart of the NCT is a refutation of the simulation principle, which states that any computation possible on a general-purpose computer can be simulated, more or less efficiently, on any other general-purpose computer . While more than 10 years have now elapsed since the NCT was established, the result is still widely misunderstood. This state of affairs is due to a number of misconceptions about the nature of the counterexamples and the significance of the NCT. The purpose of this paper is to dispel these misconceptions and convey the simple, yet important idea that universality in computation cannot be achieved, except by a computer capable, each time unit, of an infinite number of basic operations executed in parallel.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.946
Threshold uncertainty score0.481

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.001
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.043
GPT teacher head0.282
Teacher spread0.239 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it