Importance
The languages of this class have great practical importance in computer science as they can be parsed much more efficienly than nondeterministic context-free languages. The complexity of the program and execution time of a deterministic pushdown automaton is vastly less than that of a nondeterministic one. In the naive implementation, the latter must make copies of the stack every time a nondeterministic step occurs. The best known algorithm to test membership in any context-free language is Valiant's algorithm, taking O(n2.378) time, where n is the length of the string. On the other hand, deterministic context-free languages can be accepted in O(n) time by a LR(k) parser. This is very important for computer language translation because many computer languages belong to this class of languages.
Read more about this topic: Deterministic Context-free Language
Famous quotes containing the word importance:
“More than ten million women march to work every morning side by side with the men. Steadily the importance of women is gaining not only in the routine tasks of industry but in executive responsibility. I include also the woman who stays at home as the guardian of the welfare of the family. She is a partner in the job and wages. Women constitute a part of our industrial achievement.”
—Herbert Hoover (1874–1964)
“One’s condition on marijuana is always existential. One can feel the importance of each moment and how it is changing one. One feels one’s being, one becomes aware of the enormous apparatus of nothingness—the hum of a hi-fi set, the emptiness of a pointless interruption, one becomes aware of the war between each of us, how the nothingness in each of us seeks to attack the being of others, how our being in turn is attacked by the nothingness in others.”
—Norman Mailer (b. 1923)
“We ought to esteem it of the greatest importance that the fictions which children first hear should be adapted in the most perfect manner to the promotion of virtue.”
—Plato (c. 427–347 B.C.)