Why there is no such discipline as hypercomputation

DOI10.1016/j.amc.2005.09.066zbMath1103.68555OpenAlexW1995702577WikidataQ55968656 ScholiaQ55968656MaRDI QIDQ2497871

Martin Davis

Publication date: 4 August 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.09.066

Mathematics Subject Classification ID

Related Items (16)

Constructibility of the universal wave function ⋮ Towards “Fypercomputations” (in Membrane Computing) ⋮ Unconventional Computing: Do We Dream Too Much? ⋮ AN ANALOGUE-DIGITAL CHURCH-TURING THESIS ⋮ The promise of analog computation ⋮ Output concepts for accelerated Turing machines ⋮ The ARNN model relativises \(\mathrm{P}=\mathrm{NP}\) and \(\mathrm{P}\neq \mathrm{NP}\) ⋮ Machines that perform measurements ⋮ The Power of Machines That Control Experiments ⋮ ``Viral Turing machines, computation from noise and combinatorial hierarchies ⋮ A personal account of Turing's imprint on the development of computer science ⋮ HYPERCOMPUTATION: FANTASY OR REALITY? A POSITION PAPER ⋮ Embedding infinitely parallel computation in Newtonian kinematics ⋮ THE MYTH OF 'THE MYTH OF HYPERCOMPUTATION' ⋮ Computational complexity with experiments as oracles ⋮ The Significance of Relativistic Computation for the Philosophy of Mathematics

Cites Work

• Quantum algorithm for Hilbert's tenth problem
• Non-Turing computations via Malament--Hogarth space-times
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