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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?
example of multitape turing machine
S-->AAA|B A-->aA|B B-->epsilon
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If the first three words are the boys down,what are the last three words??
Myhill graphs also generalize to the SLk case. The k-factors, however, cannot simply denote edges. Rather the string σ 1 σ 2 ....... σ k-1 σ k asserts, in essence, that if we hav
Theorem (Myhill-Nerode) A language L ⊆ Σ is recognizable iff ≡L partitions Σ* into ?nitely many Nerode equivalence classes. Proof: For the "only if" direction (that every recogn
what is theory of computtion
We saw earlier that LT is not closed under concatenation. If we think in terms of the LT graphs, recognizing the concatenation of LT languages would seem to require knowing, while
De?nition Deterministic Finite State Automaton: For any state set Q and alphabet Σ, both ?nite, a ?nite state automaton (FSA) over Q and Σ is a ?ve-tuple (Q,Σ, T, q 0 , F), w
We can then specify any language in the class of languages by specifying a particular automaton in the class of automata. We do that by specifying values for the parameters of the
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