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J. Montoya

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Preprint Oct 2026

The smallest programmable machine and the hardness of analyzing it

We investigate the computational complexity of analyzing the structural and behavioral properties of deterministic k-pebble automata, which represent a natural framework for studying minimal programmable machines. First, we provide an explicit construction of a three-pebble automaton U capable of simulating any determi...

J. Montoya · 0 citations

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