On the time complexity of 2-tag systems and small universal Turing machines
Damien Woods, Turlough Neary
Abstract
Open-access reader
Damien Woods, Turlough Neary
Abstract
Open-access reader
We show that 2-tag systems efficiently simulate Turing machines. As a corollary we find that the small universal Turing machines of Rogozhin, Minsky and others simulate Turing machines in polynomial time. This is an exponential improvement on the previously known simulation time overhead and improves a forty year old result in the area of small universal Turing machines
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We show that 2-tag systems efficiently simulate Turing machines. As a corollary we find that the small universal Turing machines of Rogozhin, Minsky and others simulate Turing machines in polynomial time. This is an exponential improvement on the previously known simulation time overhead and improves a forty year old result in the area of small universal Turing machines
Key concepts: Computer science, Turing machine, Time hierarchy theorem, NSPACE, Universal Turing machine, Turing, Description number, Theoretical computer science