Natural computation and non-Turing models of computation

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Natural computation and non-Turing models of computation

We propose certain non-Turing models of computation, but our intent is not to advocate models that surpass the power of Turing machines (TMs), but to defend the need for models with orthogonal notions of power. We review the nature of models and argue that they are relative to a domain of application and are ill-suited to use outside that domain. Hence we review the presuppositions and context ...

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We propose certain non-Turing models of computation, but our intent is not to advocate models that surpass the power of Turing Machines (TMs), but to defend the need for models with orthogonal notions of power. We review the nature of models and argue that they are relative to a domain of application and are ill-suited to use outside that domain. Hence we review the presuppositions and context ...

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© 1997 John Wiley & Sons, Inc. John Casti received his Ph.D. in mathematics under Richard Bellman at the University of Southern California in 1970. He worked at the RAND Corporation in Santa Monica, CA, and served on the faculties of the University of Arizona, NYU, and Princeton before becoming one of the first members of the research staff at the International Institute for Applied Systems Ana...

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It has been proven that recurrent neural networks with analog weights can solve problems that are insoluble using Turing machines. However, the prevailing view of those involved in computing research is that a) nonTuring computation is unnecessary for intelligence and b) machines with non-Turing abilities cannot be built in practice. Two reasons are commonly cited for this. First, the effects o...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2004

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(03)00635-2