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Sketch an algorithm for the universal recognition problem for SL2. This takes an automaton and a string and returns TRUE if the string is accepted by the automaton, FALSE otherwise. Assume the automaton is given just as a sequence of pairs of symbols and that the automaton and string are both over the same language. Give an argument justifying the correctness of your algorithm.
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?
short application for MISD
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
Another way of interpreting a strictly local automaton is as a generator: a mechanism for building strings which is restricted to building all and only the automaton as an inexh
turing machine
The Universality Problem is the dual of the emptiness problem: is L(A) = Σ∗? It can be solved by minor variations of any one of the algorithms for Emptiness or (with a little le
examples of decidable problems
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Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
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