February 2022
Beginner to intermediate
572 pages
13h
English
Content preview from An Introduction to Formal Languages and Automata, 7th Edition
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11.1 RECURSIVE AND RECURSIVELY ENUMERABLE LANGUAGES
We start with some terminology for the languages associated with Turing machines. In doing so, we must make the important distinction between languages for which there exists an accepting Turing machine and languages for which there exists a membership algorithm. Because a Turing machine does not necessarily halt on input that it does not accept, the first does not imply the second.
This definition implies only that there exists a Turing machine M, such that, for every w ∈ L,
with qf a final state. The definition says nothing about what happens for w not in L
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