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Exercise Show, using Suffix Substitution Closure, that L3 . L3 ∈ SL2. Explain how it can be the case that L3 . L3 ∈ SL2, while L3 . L3 ⊆ L+3 and L+3 ∈ SL2. What happens to your counterexample to SSC?
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Construct a Moore machine to convert a binary string of radix 4.
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Another way of representing a strictly 2-local automaton is with a Myhill graph. These are directed graphs in which the vertices are labeled with symbols from the input alphabet of
LTO was the closure of LT under concatenation and Boolean operations which turned out to be identical to SF, the closure of the ?nite languages under union, concatenation and compl
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