Why there is no such discipline as hypercomputation

Applied Mathematics and Computation

Volumn 178, Issue 1, 2006, Pages 4-7

  Davis, Martin ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; FUNCTION EVALUATION; NUMBER THEORY;

COMPUTABLE FUNCTIONS; HYPERCOMPUTATION; REAL NUMBER;

COMPUTATION THEORY;

EID: 33745699480     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.09.066     Document Type: Article

References (11)

1. In: Barwise J. (Ed). Handbook of Mathematical Logic (1977), North-Holland, Amsterdam
2. Copeland B.J., and Proudfoot D. Alan Turing's forgotten ideas in computer science. Scientific American 253 4 (1999) 98-103
3. Davis M. The Universal Computer: The Road from Leibniz to Turing (2000), W.W. Norton
4. Davis M. Engines of Logic: Mathematicians and the Origin of the Computer (2001), W.W. Norton (paperback edition of [3])
5. Davis M. The myth of hypercomputation. In: Teuscher C. (Ed). Alan Turing: Life and Legacy of a Great Thinker (2004), Springer, Berlin 195-212
6. Etesi G., and Nemeti I. Non-Turing computations via Malament-Hogarth spacetimes. International Journal of Theoretical Physics 41 2 (2002) 341-370
7. Hodges, Andrew, More Comment on Tien Kieu's "Quantum Adiabatic Algorithm for Hilbert's Tenth Problem". Available from: .
8. Kieu, Tien, Quantum Algorithm for Hilbert's Tenth Problem (2001), Available from: .
9. Kieu, Tien, Quantum adiabatic algorithm for Hilbert's tenth problem: I. The algorithm(2003), Available from: .
10. Kieu, Tien, Re: Abdul Lorenz on Kieu, Available from: .
11. Kieu T., and Ord T. On the existence of a new family of Diophantine equations for Ω. Fundamenta Informaticae 56 (2003) 273-284