Question: A (normal) enumerator is a version of a Turing machine M that has an extra output tape (or a printer attached, as the textbook formulates

 A (normal) enumerator is a version of a Turing machine M

A (normal) enumerator is a version of a Turing machine M that has an extra output tape (or a printer attached, as the textbook formulates it). Both tapes are completely blank as the machine starts. M writes a sequence of strings onto the output tape with a separation symbol (e.g., a comma) between them. This sequence is finite or infinite. Repetitions of strings are allowed. The generated language is the set of all the listed strings. A lexicographic enumerator is an enumerator that writes its list in shortlex order (ordered by length first, and ordered lexicographically for each fixed length)

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