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For every regular language there is a constant n depending only on L such that, for all strings x ∈ L if |x| ≥ n then there are strings u, v and w such that
1. x = uvw,
2. |uv| ≤ n,
3. |v| ≥ 1,
4. for all i ≥ 0, uviw ∈ L.
What this says is that if there is any string in L "long enough" then there is some family of strings of related form that are all in L, that is, that there is some way of breaking the string into segments uvw for which uvi w is in L for all i. It does not say that every family of strings of related form is in L, that uvi w will be in L for every way of breaking the string into three segments uvw.
proof of arden''s theoram
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
Generate 100 random numbers with the exponential distribution lambda=5.0.What is the probability that the largest of them is less than 1.0?
example of multitape turing machine
The fundamental idea of strictly local languages is that they are speci?ed solely in terms of the blocks of consecutive symbols that occur in a word. We'll start by considering lan
jhfsaadsa
PROPERTIES OF Ardens therom
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The Myhill-Nerode Theorem provided us with an algorithm for minimizing DFAs. Moreover, the DFA the algorithm produces is unique up to isomorphism: every minimal DFA that recognizes
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