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JSYML
2007
78views more  JSYML 2007»
13 years 10 months ago
The settling-time reducibility ordering
Abstract. To each computable enumerable (c.e.) set A with a particular enumeration {As}s∈ω, there is associated a settling function mA(x), where mA(x) is the last stage when a n...
Barbara F. Csima, Richard A. Shore
CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 11 months ago
Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
Cristian S. Calude, Nicholas J. Hay
DMTCS
2003
89views Mathematics» more  DMTCS 2003»
14 years 8 days ago
On the Monotonic Computability of Semi-computable Real Numbers
Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges...
Xizhong Zheng, George Barmpalias
ICAI
2004
14 years 8 days ago
Genetic Programming Reconsidered
Even though the Genetic Programming (GP) mechanism is capable of evolving any computable function, the means through which it does so is inherently flawed: the user must provide th...
Russ Abbott, Behzad Parviz, Chengyu Sun
CRYPTO
1990
Springer
79views Cryptology» more  CRYPTO 1990»
14 years 2 months ago
Fair Computation of General Functions in Presence of Immoral Majority
This paper describes a method for n players, a majority of which may be faulty, to compute correctly, privately, and fairly any computable function f(Xl, ...,x,) where xi is the i...
Shafi Goldwasser, Leonid A. Levin
MFCS
2009
Springer
14 years 3 months ago
Time-Bounded Kolmogorov Complexity and Solovay Functions
Abstract. A Solovay function is a computable upper bound g for prefixfree Kolmogorov complexity K that is nontrivial in the sense that g agrees with K, up to some additive constan...
Rupert Hölzl, Thorsten Kräling, Wolfgang...