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CIE
2006
Springer
14 years 2 months ago
Phase Transition Thresholds for Some Natural Subclasses of the Computable Functions
In this paper we first survey recent advances on phase transition phenomena which are related to natural subclasses of the recursive functions. Special emphasis is put on descent ...
Andreas Weiermann
MSCS
2006
97views more  MSCS 2006»
13 years 11 months ago
An extremely sharp phase transition threshold for the slow growing hierarchy
We investigate natural systems of fundamental sequences for ordinals below the Howard Bachmann ordinal and study growth rates of the resulting slow growing hierarchies. We consider...
Andreas Weiermann
CORR
2006
Springer
114views Education» more  CORR 2006»
13 years 11 months ago
Emergence Explained
Abstract. Emergence--macro-level effects from micro-level causes--is at the heart of the conflict between reductionism and functionalism. How can there be autonomous higher level l...
Russ Abbott