A Formalization and Proof of the Extended Church-Turing Thesis -Extended Abstract-

Nachum Dershowitz; Evgenia Falkovich

doi:10.4204/eptcs.88.6

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arXiv · 1207.7148

A Formalization and Proof of the Extended Church-Turing Thesis -Extended Abstract-

Nachum Dershowitz·Evgenia Falkovich

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Abstract

We prove the Extended Church-Turing Thesis: Every effective algorithm can be efficiently simulated by a Turing machine. This is accomplished by emulating an effective algorithm via an abstract state machine, and simulating such an abstract state machine by a random access machine, representing data as a minimal term graph.

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Nachum Dershowitz, Evgenia Falkovich. 2012-07-31. A Formalization and Proof of the Extended Church-Turing Thesis -Extended Abstract-. https://doi.org/10.4204/eptcs.88.6

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