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» Turing computations on ordinals
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AML
2008
66views more  AML 2008»
13 years 5 months ago
Register computations on ordinals
We generalize ordinary register machines on natural numbers to machines whose registers contain arbitrary ordinals. Ordinal register machines are able to compute a recursive bounde...
Peter Koepke, Ryan Siders
SAGT
2009
Springer
131views Game Theory» more  SAGT 2009»
13 years 11 months ago
The Computational Complexity of Weak Saddles
Abstract. We continue the recently initiated study of the computational aspects of weak saddles, an ordinal set-valued solution concept proposed by Shapley. Brandt et al. gave a po...
Felix Brandt, Markus Brill, Felix A. Fischer, Jan ...
AGI
2011
12 years 9 months ago
Measuring Agent Intelligence via Hierarchies of Environments
Under Legg’s and Hutter’s formal measure [1], performance in easy environments counts more toward an agent’s intelligence than does performance in difficult environments. An ...
Bill Hibbard
CIE
2008
Springer
13 years 7 months ago
An Enhanced Theory of Infinite Time Register Machines
Abstract. Infinite time register machines (ITRMs) are register machines which act on natural numbers and which are allowed to run for arbitrarily many ordinal steps. Successor step...
Peter Koepke, Russell Miller
FOCS
2006
IEEE
13 years 11 months ago
On the time complexity of 2-tag systems and small universal Turing machines
We show that 2-tag systems efficiently simulate Turing machines. As a corollary we find that the small universal Turing machines of Rogozhin, Minsky and others simulate Turing ma...
Damien Woods, Turlough Neary