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Analog Computers and the Iteration Functional
Campagnolo, Manuel Lameiras; Moore, Cristopher; Costa, José FélixIn this paper we extend the class of differentially algebraic functions computed by Shannon's General Purpose Analog Computer (GPAC). We relax Pour-El's definition of GPAC to obtain new operators and we use recursion theory on the reals to define a new class of analog computable functions. We show that a function F(t,x) which simulates t time-steps of a Turing machine on input x, and more generally a functional...
Date: 1998
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Origin: Repositório da Universidade de Lisboa