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» Turing computations on ordinals
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HRI
2010
ACM
15 years 5 months ago
Mysterious machines
—Alan Turing proposed a test for the intelligence of machines in 1950 [1]. Despite great efforts, no computer has passed this test so far. Each year, chat bots compete for the Lo...
Billy Schonenberg, Christoph Bartneck
CORR
2007
Springer
52views Education» more  CORR 2007»
14 years 11 months ago
Hierarchical Unambiguity
Abstract. We develop techniques to investigate relativized hierarchical unambiguous computation. We apply our techniques to push forward some known constructs involving relativized...
Holger Spakowski, Rahul Tripathi
CATS
2006
15 years 1 months ago
The Busy Beaver, the Placid Platypus and other Crazy Creatures
The busy beaver is an example of a function which is not computable. It is based on a particular class of Turing machines, and is defined as the largest number of 1's that ca...
James Harland
JSYML
2002
84views more  JSYML 2002»
14 years 11 months ago
Maximal Contiguous Degrees
A computably enumerable (c.e.) degree is a maximal contiguous degree if it is contiguous and no c.e. degree strictly above it is contiguous. We show that there are infinitely many ...
Peter Cholak, Rodney G. Downey, Stephen Walk
BIRTHDAY
2010
Springer
14 years 9 months ago
A Logic for PTIME and a Parameterized Halting Problem
In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...
Yijia Chen, Jörg Flum