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An Analogue-digital Model of Computation: Turing Machines with Physical Oracles

Ambaram, Tânia; Beggs, Edwin; Costa, José Félix; Poças, Diogo; Tucker, John V.

We introduce an abstract analogue-digital model of computation that couples Turing machines to oracles that are physical processes. Since any oracle has the potential to boost the computational power of a Turing machine, the effect on the power of the Turing machine of adding a physical process raises interesting questions. Do physical processes add significantly to the power of Turing machines; can they break ...


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