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STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 9 months ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
MCU
1998
117views Hardware» more  MCU 1998»
13 years 6 months ago
The Turing Closure of an Archimedean Field
A BSS machine is -uniform if it does not use exact tests; such machines are equivalent (modulo parameters) to Type 2 Turing machines. We define a notion of closure related to Turi...
Paolo Boldi, Sebastiano Vigna
AMC
2006
131views more  AMC 2006»
13 years 5 months ago
How much can analog and hybrid systems be proved (super-)Turing
Church thesis and its variants say roughly that all reasonable models of computation do not have more power than Turing machines. In a contrapositive way, they say that any model ...
Olivier Bournez
CIE
2007
Springer
13 years 11 months ago
Post's Problem for Ordinal Register Machines
We study Post’s Problem for the ordinal register machines defined in [6], showing that its general solution is positive, but that any set of ordinals solving it must be unbounde...
Joel David Hamkins, Russell G. Miller
CIE
2006
Springer
13 years 9 months ago
Constraints on Hypercomputation
Wegner and Eberbach[Weg04b] have argued that there are fundamental limitations to Turing Machines as a foundation of computability and that these can be overcome by so-called super...
Greg Michaelson, W. Paul Cockshott