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The SL2 languages are speci?ed with a set of 2-factors in Σ2 (plus some factors in {?}Σ and some factors in Σ{?} distinguishing symbols that may occur at the beginning and end of the string, respectively), the recognizable languages are speci?ed with triples in Q × Q × Σ (along with an indication of the start and accepting states). In studying the SL languages, it was useful to consider those factors as tiles, allowing us to generate strings in the language recognized by the SL-automaton by laying them out in overlapping sequences. We can develop a similar generator model from our FSAs by extending the triples of the edge relation with triples from {?}×Q×{?} (to designate starting tiles)
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
As de?ned the powerset construction builds a DFA with many states that can never be reached from Q′ 0 . Since they cannot be reached from Q′ 0 there is no path from Q′ 0 to a sta
The path function δ : Q × Σ* → P(Q) is the extension of δ to strings: This just says that the path labeled ε from any given state q goes only to q itself (or rather never l
what are the advantages and disadvantages of wearable computers?
For example, the question of whether a given regular language is positive (does not include the empty string) is algorithmically decidable. "Positiveness Problem". Note that
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First model: Computer has a ?xed number of bits of storage. You will model this by limiting your program to a single ?xed-precision unsigned integer variable, e.g., a single one-by
Let L 3 = {a i bc j | i, j ≥ 0}. Give a strictly 2-local automaton that recognizes L 3 . Use the construction of the proof to extend the automaton to one that recognizes L 3 . Gi
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
The Equivalence Problem is the question of whether two languages are equal (in the sense of being the same set of strings). An instance is a pair of ?nite speci?cations of regular
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