Transition graph for the automaton, Theory of Computation

Assignment Help:

Lemma 1 A string w ∈ Σ* is accepted by an LTk automaton iff w is the concatenation of the symbols labeling the edges of a path through the LTk transition graph of A from h?, ∅i to an accepting node.

This is quick to verify. The path corresponding to any string w leads to a node labeled with hv, Si iff S = Fk(?  w) and that will be a node that is circled iff augmented strings with that set of k-factors (plus v?) satisfy φA. There are a few important things to note about LTk transition graphs. First of all, every LTk automata over a given alphabet shares exactly the same node set and edge set. The only distinction between them is which nodes are accepting nodes and which are not. Secondly, they are invariably inconveniently large. Every LT2 automaton over a two symbol alphabet- pretty much the minimum interesting automaton-will have a transition graph the size of the graph of Figure 1. Fortunately, other than the graph of the example we will not have any need to draw these out. We can reason about the paths through them without ever actually looking at the entire graph.


Related Discussions:- Transition graph for the automaton

Local myhill graphs, Myhill graphs also generalize to the SLk case. The k-f...

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

Decidability, examples of decidable problems

examples of decidable problems

Generalization of the interpretation of local automata, The generalization ...

The generalization of the interpretation of strictly local automata as generators is similar, in some respects, to the generalization of Myhill graphs. Again, the set of possible s

Pojects idea, i want to do projects for theory of computation subject what ...

i want to do projects for theory of computation subject what topics should be best.

Kleenes theorem, All that distinguishes the de?nition of the class of Regul...

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

Prove the arden''s theorem, State and Prove the Arden's theorem for Regular...

State and Prove the Arden's theorem for Regular Expression

Turing, turing machine for prime numbers

turing machine for prime numbers

Abstract model of computation, When we say "solved algorithmically" we are ...

When we say "solved algorithmically" we are not asking about a speci?c programming language, in fact one of the theorems in computability is that essentially all reasonable program

Myhill-nerode theorem, The Myhill-Nerode Theorem provided us with an algori...

The Myhill-Nerode Theorem provided us with an algorithm for minimizing DFAs. Moreover, the DFA the algorithm produces is unique up to isomorphism: every minimal DFA that recognizes

Pendulum Swings, how many pendulum swings will it take to walk across the c...

how many pendulum swings will it take to walk across the classroom?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd