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The key thing about the Suffx Substitution Closure property is that it does not make any explicit reference to the automaton that recognizes the language.
While the argument that establishes it is based on the properties of a Myhill graph that we know must exist, those properties are properties of Myhill graphs in general and don't depend on the speci?cs of that particular graph. This lets us reason about the strings in an SL2 language without having to actually produce the automaton that recognizes it. Perhaps more importantly, it lets us establish that a particular language is not SL2 by supposing (counterfactually) that it was SL2 and showing that Suffx Substitution Closure would then imply that it included strings that it should not.
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To see this, note that if there are any cycles in the Myhill graph of A then L(A) will be infinite, since any such cycle can be repeated arbitrarily many times. Conversely, if the
The k-local Myhill graphs provide an easy means to generalize the suffix substitution closure property for the strictly k-local languages. Lemma (k-Local Suffix Substitution Clo
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Another striking aspect of LTk transition graphs is that they are generally extremely ine?cient. All we really care about is whether a path through the graph leads to an accepting
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A Turing machine is a theoretical computing machine made-up by Alan Turing (1937) to serve as an idealized model for mathematical calculation. A Turing machine having of a line of
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DEGENERATE OF THE INITIAL SOLUTION
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