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Let L3 = {aibcj | i, j ≥ 0}. Give a strictly 2-local automaton that recognizes L3. Use the construction of the proof to extend the automaton to one that recognizes L3. Give a path through your extended automaton corresponding to a string in L*3. and show how the argument of the proof splits it into paths through your original automaton.
20*2
PROPERTIES OF Ardens therom
turing machine for prime numbers
Exercise Show, using Suffix Substitution Closure, that L 3 . L 3 ∈ SL 2 . Explain how it can be the case that L 3 . L 3 ∈ SL 2 , while L 3 . L 3 ⊆ L + 3 and L + 3 ∈ SL
We represented SLk automata as Myhill graphs, directed graphs in which the nodes were labeled with (k-1)-factors of alphabet symbols (along with a node labeled ‘?' and one labeled
value chain
a finite automata accepting strings over {a,b} ending in abbbba
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We have now de?ned classes of k-local languages for all k ≥ 2. Together, these classes form the Strictly Local Languages in general. De?nition (Strictly Local Languages) A langu
construct a social network from the real-world data, perform some simple network analyses using Gephi, and interpret the results.
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