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JC
2000
89views more  JC 2000»
14 years 9 months ago
Weakly Computable Real Numbers
The Turing degree of a real number x is defined as the Turing degree of its binary expansion. This definition is quite natural and robust. In this paper we discuss some basic degr...
Klaus Ambos-Spies, Klaus Weihrauch, Xizhong Zheng
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
15 years 1 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
JAPLL
2008
96views more  JAPLL 2008»
14 years 9 months ago
Simulating Turing machines on Maurer machines
Maurer machines are much closer to real computers than Turing machines. Computer instructions play a prominent part in Maurer machines. We show a straightforward way to simulate Tu...
Jan A. Bergstra, C. A. Middelburg
87
Voted
CIE
2007
Springer
15 years 3 months ago
From Logic to Physics: How the Meaning of Computation Changed over Time
The intuition guiding the de…nition of computation has shifted over time, a process that is re‡ected in the changing formulations of the Church-Turing thesis. The theory of co...
Itamar Pitowsky
FCT
2009
Springer
15 years 4 months ago
Small Weakly Universal Turing Machines
We give small universal Turing machines with state-symbol pairs of (6, 2), (3, 3) and (2, 4). These machines are weakly universal, which means that they have an infinitely repeate...
Turlough Neary, Damien Woods