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De?nition Instantaneous Description of an FSA:
An instantaneous description (ID) of a FSA A = (Q,Σ, T, q0, F) is a pair (q,w) ∈ Q×Σ* , where q the current state and w is the portion of the input under and to the right of the read head.
w is the portion of the string remaining to be processed. The symbol being currently being read by the FSA is the ?rst symbol of w. If w is empty then the entire input has been scanned and the FSA has halted.
One might assume that non-closure under concatenation would imply non closure under both Kleene- and positive closure, since the concatenation of a language with itself is included
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Theorem The class of ?nite languages is a proper subclass of SL. Note that the class of ?nite languages is closed under union and concatenation but SL is not closed under either. N
Since the signi?cance of the states represented by the nodes of these transition graphs is arbitrary, we will allow ourselves to use any ?nite set (such as {A,B,C,D,E, F,G,H} or ev
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A common approach in solving problems is to transform them to different problems, solve the new ones, and derive the solutions for the original problems from those for the new ones
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