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State & prove pumping lemma for regular set. Show that for the language L={ap |p is a prime} is not regular
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how many pendulum swings will it take to walk across the classroom?
design an automata for strings having exactly four 1''s
When we study computability we are studying problems in an abstract sense. For example, addition is the problem of, having been given two numbers, returning a third number that is
designing DFA
Suppose G = (N, Σ, P, S) is a reduced grammar (we can certainly reduce G if we haven't already). Our algorithm is as follows: 1. Define maxrhs(G) to be the maximum length of the
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
s-> AACD A-> aAb/e C->aC/a D-> aDa/bDb/e
Claim Under the assumptions above, if there is an algorithm for checking a problem then there is an algorithm for solving the problem. Before going on, you should think a bit about
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