Closure properties to prove regularity, Theory of Computation

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 with intersection and complement (as well as any other operations we can show preserve regularity). All one need do to prove a language is regular, then, is to show how to construct it from "obviously" regular languages using any of these operations. (A little care is needed about what constitutes "obvious". The safest thing to do is to take the language back all the way to ∅, {ε}, and the singleton languages of unit strings.)

Posted Date: 3/21/2013 1:27:16 AM | Location : United States







Related Discussions:- Closure properties to prove regularity, Assignment Help, Ask Question on Closure properties to prove regularity, Get Answer, Expert's Help, Closure properties to prove regularity Discussions

Write discussion on Closure properties to prove regularity
Your posts are moderated
Related Questions
Prove that Language is non regular TRailing count={aa ba aaaa abaa baaa bbaa aaaaaa aabaaa abaaaa..... 1) Pumping Lemma 2)Myhill nerode

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

State & prove pumping lemma for regular set. Show that for the language L={ap |p is a prime} is not regular

De?nition Deterministic Finite State Automaton: For any state set Q and alphabet Σ, both ?nite, a ?nite state automaton (FSA) over Q and Σ is a ?ve-tuple (Q,Σ, T, q 0 , F), w

s-> AACD A-> aAb/e C->aC/a D-> aDa/bDb/e

The fact that SL 2 is closed under intersection but not under union implies that it is not closed under complement since, by DeMorgan's Theorem L 1 ∩ L 2 = We know that

Ask queyystion #Minimum 100 words accepted#

Suppose A = (Σ, T) is an SL 2 automaton. Sketch an algorithm for recognizing L(A) by, in essence, implementing the automaton. Your algorithm should work with the particular automa

De?nition (Instantaneous Description) (for both DFAs and NFAs) An instantaneous description of A = (Q,Σ, δ, q 0 , F) , either a DFA or an NFA, is a pair h q ,w i ∈ Q×Σ*, where

Generate 100 random numbers with the exponential distribution lambda=5.0.What is the probability that the largest of them is less than 1.0?