Efficient Computation by Three Counter Machines

Holger Petersen

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arXiv · 1501.02212

Efficient Computation by Three Counter Machines

Holger Petersen

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Abstract

We show that multiplication can be done in polynomial time on a three counter machine that receives its input as the contents of two counters. The technique is generalized to functions of two variables computable by deterministic Turing machines in linear space.

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Holger Petersen. 2015-01-09. Efficient Computation by Three Counter Machines. https://arxiv.org/abs/1501.02212

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