Equivalence of nfas, Theory of Computation

It is not hard to see that ε-transitions do not add to the accepting power of the model. The underlying idea is that whenever an ID (q, σ  v) directly computes another (p, v) via a path that includes some number of ε-transitions (before the σ-transition, after it or both), we can get the same effect by extending the transition relation to include a σ-transition directly from q to v. So, in the example we could add ‘a' edges from 0 to 1 (accounting for the path 0 2072_Equivalence of NFAs.png 3) and from 1 to 3 (accounting for the path 1 27_Equivalence of NFAs1.png 3) and ‘b' edges from 1 to 3 (accounting for the path 1 1649_Equivalence of NFAs2.png  3), from 3 to 2 (accounting for the path 3 1088_Equivalence of NFAs3.png2), and from 1 to 2 (accounting for the  path 1 2144_Equivalence of NFAs4.png2), Note that in each of these cases this corresponds to extending δ(q, σ) to include all states in ˆ δ(q, σ). The remaining effect of the ε-transition from 0 to 2 is the fact that the automaton accepts ‘ε'. This can be obtained, of course, by simply adding 0 to F. Formalizing this  we get a lemma.

Posted Date: 3/21/2013 2:54:59 AM | Location : United States

Related Discussions:- Equivalence of nfas, Assignment Help, Ask Question on Equivalence of nfas, Get Answer, Expert's Help, Equivalence of nfas Discussions

Write discussion on Equivalence of nfas
Your posts are moderated
Related Questions
distinguish between histogram and historigram

The SL 2 languages are speci?ed with a set of 2-factors in Σ 2 (plus some factors in {?}Σ and some factors in Σ{?} distinguishing symbols that may occur at the beginning and en

write short notes on decidable and solvable problem

how to write program Minimum Cost Calculation - Vogel Approximation Method(VAM

De?nition Instantaneous Description of an FSA: An instantaneous description (ID) of a FSA A = (Q,Σ, T, q 0 , F) is a pair (q,w) ∈ Q×Σ* , where q the current state and w is the p

Another striking aspect of LTk transition graphs is that they are generally extremely ine?cient. All we really care about is whether a path through the graph leads to an accepting

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

The path function δ : Q × Σ*→ P(Q) is the extension of δ to strings: Again, this just says that to ?nd the set of states reachable by a path labeled w from a state q in an

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

matlab v matlab