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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.
A problem is said to be unsolvable if no algorithm can solve it. The problem is said to be undecidable if it is a decision problem and no algorithm can decide it. It should be note
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The fact that SL 2 is closed under intersection but not under union implies that it is not closed under complement since, by DeMorgan's Theorem L 1 ∩ L 2 = We know that
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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
The fact that the Recognition Problem is decidable gives us another algorithm for deciding Emptiness. The pumping lemma tells us that if every string x ∈ L(A) which has length grea
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