Transition graph for the automaton, Theory of Computation

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.

Posted Date: 3/21/2013 3:24:09 AM | Location : United States







Related Discussions:- Transition graph for the automaton, Assignment Help, Ask Question on Transition graph for the automaton, Get Answer, Expert's Help, Transition graph for the automaton Discussions

Write discussion on Transition graph for the automaton
Your posts are moderated
Related Questions
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

design a tuning machine for penidrome

One of the first issues to resolve, when exploring any mechanism for defining languages is the question of how to go about constructing instances of the mechanism which define part

Kleene called this the Synthesis theorem because his (and your) proof gives an effective procedure for synthesizing an automaton that recognizes the language denoted by any given r

The fact that regular languages are closed under Boolean operations simpli?es the process of establishing regularity of languages; in essence we can augment the regular operations

what are the advantages and disadvantages of wearable computers?

This close relationship between the SL2 languages and the recognizable languages lets us use some of what we know about SL 2 to discover properties of the recognizable languages.

Differentiate between DFA and NFA. Convert the following Regular Expression into DFA. (0+1)*(01*+10*)*(0+1)*. Also write a regular grammar for this DFA.

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

what problems are tackled under numerical integration