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Nondeterministic Turing machine
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====Multiplicity of tapes==== Another construction simulates NTMs with 3-tape DTMs, of which the first tape always holds the original input string, the second is used to simulate a particular computation of the NTM, and the third encodes a path in the NTM's computation tree.<ref>{{cite book |last1=Lewis |first1=Harry R. |author1-link=Harry R. Lewis |last2=Papadimitriou |first2=Christos |author2-link=Christos Papadimitriou |year=1981 |chapter=Section 4.6: Nondeterministic Turing machines |title=Elements of the Theory of Computation |publisher=Prentice-Hall |place=Englewood Cliffs, New Jersey |edition=1st |pages=204β211 |isbn=978-0132624787 |url-access=registration |url=https://archive.org/details/elementsoftheory0000lewi}}</ref> The 3-tape DTMs are easily simulated with a normal single-tape DTM.
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