THE SIMPLE DYNAMICS OF SUPER TURING THEORIES

This paper reasons about the need to seek for particular kinds of mode ls of computation that imply stronger computability than the classical models. A possible such model, constituting a chaotic dynamical syste m, is presented. This system, which we term as the analog shift map, w hen viewed as a computational model has super-Turing power and is equi valent to neural networks and the class of analog machines. This map m ay be appropriate to describe idealized physical phenomena.