Non-determinism - recognizable language, Theory of Computation

Our DFAs are required to have exactly one edge incident from each state for each input symbol so there is a unique next state for every current state and input symbol. Thus, the next state is fully determined by the current state and input symbol. As we saw in the previous section, this simpli?es the proof that the DFA accepts a speci?c language. There are many circumstances, though, in which it will be simpler to de?ne the automaton in the ?rst place if we allow for there to be any one of a number of next states or even no next state at all. Thus there may be many out edges from a given node labeled with a given symbol, or no out edges from that node for that symbol. Such FSA are called non-deterministic because the next step of a computation is not fully determined by the current state and input symbol-we may have a choice of states to move into.

De?nition 1 (NFA without ε-Transitions) A FSA A = (Q,Σ, T, q0, F) is non-deterministic iff either

• there is some q ∈ Q, σ ∈ Σ and p1 = p2 ∈ Q for which hq, p1, σi ∈ T and hq, p2, σi ∈ T,

• or there is some q ∈ Q, σ ∈ Σ for which there is no p ∈ Q such that hq, p, σi ∈ T

Posted Date: 3/21/2013 2:13:19 AM | Location : United States







Related Discussions:- Non-determinism - recognizable language, Assignment Help, Ask Question on Non-determinism - recognizable language, Get Answer, Expert's Help, Non-determinism - recognizable language Discussions

Write discussion on Non-determinism - recognizable language
Your posts are moderated
Related Questions
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

We will specify a computation of one of these automata by specifying the pair of the symbols that are in the window and the remainder of the string to the right of the window at ea

And what this money. Invovle who it involves and the fact of,how we got itself identified candidate and not withstanding time date location. That shouts me media And answers who''v

Computation of a DFA or NFA without ε-transitions An ID (q 1 ,w 1 ) computes (qn,wn) in A = (Q,Σ, T, q 0 , F) (in zero or more steps) if there is a sequence of IDs (q 1

design an automata for strings having exactly four 1''s

The key thing about the Suffx Substitution Closure property is that it does not make any explicit reference to the automaton that recognizes the language. While the argument tha

You are required to design a system that controls the speed of a fan's rotation. The speed at which the fan rotates is determined by the ambient temperature, i.e. as the temperatur

DEGENERATE OF THE INITIAL SOLUTION

In Exercise 9 you showed that the recognition problem and universal recognition problem for SL2 are decidable. We can use the structure of Myhill graphs to show that other problems

We'll close our consideration of regular languages by looking at whether (certain) problems about regular languages are algorithmically decidable.