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» Turing machines and bimachines
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UC
2009
Springer
16 years 18 days ago
Abstract Geometrical Computation and Computable Analysis
Geometrical Computation and Computable Analysis J´erˆome Durand-Lose⋆ Laboratoire d’Informatique Fondamentale d’Orl´eans, Universit´e d’Orl´eans, B.P. 6759, F-45067 OR...
Jérôme Durand-Lose
CATS
2006
15 years 7 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
146
Voted
IGPL
2008
124views more  IGPL 2008»
15 years 5 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
JAC
2008
15 years 7 months ago
Sofic one head machines
There are several systems consisting in an object that moves on the plane by following a given rule. It is frequently observed that these systems eventually fall into an unexplaine...
Anahí Gajardo
ICALP
2007
Springer
16 years 7 days ago
Reconciling Data Compression and Kolmogorov Complexity
While data compression and Kolmogorov complexity are both about effective coding of words, the two settings differ in the following respect. A compression algorithm or compressor...
Laurent Bienvenu, Wolfgang Merkle