Abstract

Machine Universal state: Q heads: h 1 h 2 R#W head ### 0 1 0 1 #Binary Program# Universal T.M. state: Q heads: h 1 h 2 speed: S Accellerated Figure 1: Various types of Turing machines. In recent years, researchers have looked at natural processes in the physical and biological world as motivation for constructing new models of computation holding out the hope of breaking the #Turing barrier." But are there alternatives? The quantum phenomenon of interference has led to one such model, as has the process of folding of DNA strands in a living cell. In addition, re#nements to the Turing view of computing have led to #super-Turing" models, that allow one to compute in ways that transcend Turing's original scheme. Breaking Turing's barrier is double important: a# theoretically, as unconventional models are explored with an eye toward underst

Citations