The simple dynamics of super Turing theories

Hava T. Siegelmann
<span title="">1996</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="" style="color: black;">Theoretical Computer Science</a> </i> &nbsp;
This paper reasons about the need to seek for particular kinds of models of computation that imply stronger computability than the classical models. A possible such model, constituting a chaotic dynamical system, is presented. This system, which we term as the analog shift map, when viewed as a computational model has super-Turing power and is equivalent to neural networks and the class of analog machines. This map may be appropriate to describe idealized physical phenomena. *
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1016/s0304-3975(96)00087-4</a> <a target="_blank" rel="external noopener" href="">fatcat:bdo77spgkbgtpi76jury4fba7a</a> </span>
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