Local suffix substitution closure, Theory of Computation

The k-local Myhill graphs provide an easy means to generalize the suffix substitution closure property for the strictly k-local languages.

Lemma (k-Local Suffix Substitution Closure) If L is a strictly k-local language then for all strings u1, v1, u2, and v2 in Σ* and all strings x in Σk-1 :

u1xv1 ∈ L and u2xv2 ∈ L ⇒ u1xv2 ∈ L.

The justi?cation is essentially identical to that of our original suffix substitution closure lemma. If L ∈ SLk then it is recognized by an SLk automaton. In the k-local Myhill graph of that automaton, any path from ‘?' to the vertex labeled x can be put together with any path from that vertex to ‘?' to produce a path that represents a string in L.

Posted Date: 3/22/2013 1:32:16 AM | Location : United States







Related Discussions:- Local suffix substitution closure, Assignment Help, Ask Question on Local suffix substitution closure, Get Answer, Expert's Help, Local suffix substitution closure Discussions

Write discussion on Local suffix substitution closure
Your posts are moderated
Related Questions
Ask question #Minimum 100 words accepte

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

S-->AAA|B A-->aA|B B-->epsilon

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1's encountered is even or odd.

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


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

The Equivalence Problem is the question of whether two languages are equal (in the sense of being the same set of strings). An instance is a pair of ?nite speci?cations of regular

We developed the idea of FSA by generalizing LTk transition graphs. Not surprisingly, then, every LTk transition graph is also the transition graph of a FSA (in fact a DFA)-the one