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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Turing Machines for Dummies
Why Representations Do Matter
verfasst von : Peter van Emde Boas
Erschienen in: SOFSEM 2012: Theory and Practice of Computer Science
Verlag: Springer Berlin Heidelberg
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Various methods exists in the litearture for denoting the configuration of a Turing Machine. A key difference is whether the head position is indicated by some integer (mathematical representation) or is specified by writing the machine state next to the scanned tape symbol (intrinsic representation).
From a mathematical perspective this will make no difference. However, since Turing Machines are primarily used for proving undecidability and/or hardness results these representations do matter. Based on a number of applications we show that the intrinsic representation should be preferred.