Analog computation beyond the Turing limit

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The main purpose of this paper is quite uncontroversial. First, we recall some models of analog computations (including these allowed to perform Turing uncomputable tasks). Second, we support the suggestions that such hypercomputable capabilities of such systems can be explained by the use of infinite limits. Additionally, the inner restrictions of analog models of computations are indicated.

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论文评审过程:Available online 9 November 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.09.074