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
spam messages h= 98%, m= 90%, l= 80% non spam h=12%, m = 8%, l= 5% The organization estimates that 75% of all messages it receives are spam messages. If the cost of not blocking a

What is the purpose of GDTR?

Can v find the given number is palindrome or not using turing machine

DEGENERATE OF THE INITIAL SOLUTION

Theorem The class of ?nite languages is a proper subclass of SL. Note that the class of ?nite languages is closed under union and concatenation but SL is not closed under either. N


write short notes on decidable and solvable problem


We represented SLk automata as Myhill graphs, directed graphs in which the nodes were labeled with (k-1)-factors of alphabet symbols (along with a node labeled ‘?' and one labeled

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