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FUIN
2002
109views more  FUIN 2002»
13 years 11 months ago
Another Example of Higher Order Randomness
We consider the notion of algorithmic randomness relative to an oracle. We prove that the probability
Verónica Becher, Gregory J. Chaitin
TOPLAS
2008
81views more  TOPLAS 2008»
13 years 11 months ago
Size-change termination with difference constraints
lem of inferring termination from such abstract information is not the halting problem for programs and may well be decidable. If this is the case, the decision algorithm forms a &...
Amir M. Ben-Amram
AMC
2006
82views more  AMC 2006»
13 years 11 months ago
Some thoughts on hypercomputation
We first show that the Halting Function (the noncomputable function that solves the Halting Problem) has explicit expressions in the language of calculus. Out of that fact we elab...
Newton C. A. da Costa, Francisco A. Doria
TYPES
2000
Springer
14 years 3 months ago
Formalizing the Halting Problem in a Constructive Type Theory
We present a formalization of the halting problem in Agda, a language based on Martin-L
Kristofer Johannisson
ALT
1999
Springer
14 years 3 months ago
On the Uniform Learnability of Approximations to Non-Recursive Functions
Abstract. Blum and Blum (1975) showed that a class B of suitable recursive approximations to the halting problem is reliably EX-learnable. These investigations are carried on by sh...
Frank Stephan, Thomas Zeugmann
CIE
2009
Springer
14 years 6 months ago
Index Sets and Universal Numberings
This paper studies the Turing degrees of various properties defined for universal numberings, that is, for numberings which list all partial-recursive functions. In particular pro...
Sanjay Jain, Frank Stephan, Jason Teutsch