Some recent developments on Shannon's General Purpose Analog Computer
نویسندگان
چکیده
منابع مشابه
Some recent developments on Shannon's General Purpose Analog Computer
This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we restrict our attention to the improved model presented in [11] and we show that it can be further refined. With this we prove the following: (i) the previous model can be simplified; (ii) it admits extensions having close connections with the class of smooth continuou...
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In this paper we revisit one of the first models of analog computation, Shannon’s General Purpose Analog Computer (GPAC). The GPAC has often been argued to be weaker than computable analysis. As main contribution, we show that if we change the notion of GPACcomputability in a natural way, we compute exactly all real computable functions (in the sense of computable analysis). Moreover, since GPA...
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ژورنال
عنوان ژورنال: MLQ
سال: 2004
ISSN: 0942-5616,1521-3870
DOI: 10.1002/malq.200310113