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The Emperor's New Recursiveness: The Epigraph of the Exponential Function in Two Models of Computability
Vasco Brattka,
in: ICWLC 2000: Words, Languages and Combinatorics,
World Scientific Publishing, River Edge (to appear)
Abstract
In his book ``The Emperor's New Mind'' Roger Penrose implicitly
defines some criteria which should be met by a reasonable
notion of recursiveness for subsets of Euclidean space.
We discuss two such notions with regard to Penrose's criteria:
one originated from computable analysis, and the one introduced
by Blum, Shub and Smale.
Electronical Versions