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In general non-determinism, by introducing a degree of parallelism, may increase the accepting power of a model of computation. But if we subject NFAs to the same sort of analysis as we have used in de?ning DFAs we shall see that to simulate an NFA one needs only track ?nitely much information about each string. Consider, again, the example in which we modeled the computation of the NFA as a set of automata processing the input synchronously. In order to determine if a string w is accepted by the NFA all we need to do is to track, at each stage of the computation (i.e., at each pre?x of the input), the states of those automata. Since there is never any reason to include more than one automaton for each state, this will just be some subset of Q-in fact, it is easy to see that the set of states after processing w will be just ˆ δ(q0,w). Since Q is ?nite, it has ?nitely many subsets. Thus we can simulate an NFA with state set Q with a DFA that has a state for each subset of Q. The process of constructing a deterministic analog of a non-deterministic machine is known as determinization.
proof ogdens lemma .with example i am not able to undestand the meaning of distinguished position .
Theorem (Myhill-Nerode) A language L ⊆ Σ is recognizable iff ≡L partitions Σ* into ?nitely many Nerode equivalence classes. Proof: For the "only if" direction (that every recogn
Let ? ={0,1} design a Turing machine that accepts L={0^m 1^m 2^m } show using Id that a string from the language is accepted & if not rejected .
Myhill graphs also generalize to the SLk case. The k-factors, however, cannot simply denote edges. Rather the string σ 1 σ 2 ....... σ k-1 σ k asserts, in essence, that if we hav
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
All that distinguishes the de?nition of the class of Regular languages from that of the class of Star-Free languages is that the former is closed under Kleene closure while the lat
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
design an automata for strings having exactly four 1''s
What are the issues in computer design?
Can v find the given number is palindrome or not using turing machine
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