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The Recognition Problem for a class of languages is the question of whether a given string is a member of a given language. An instance consists of a string and a (?nite) speci?cation of the language. Again, we'll assume we are given a DFA as a ?ve-tuple.
Theorem 3 (Recognition) The Recognition Problem for Regular Languages is decidable.
Lemma 1 A string w ∈ Σ* is accepted by an LTk automaton iff w is the concatenation of the symbols labeling the edges of a path through the LTk transition graph of A from h?, ∅i to
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If the first three words are the boys down,what are the last three words??
Given any NFA A, we will construct a regular expression denoting L(A) by means of an expression graph, a generalization of NFA transition graphs in which the edges are labeled with
examples of decidable problems
A.(A+C)=A
s-> AACD A-> aAb/e C->aC/a D-> aDa/bDb/e
We now add an additional degree of non-determinism and allow transitions that can be taken independent of the input-ε-transitions. Here whenever the automaton is in state 1
Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''s encountered is even or odd.
Can you say that B is decidable? If you somehow know that A is decidable, what can you say about B?
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