Regular Grammar - Extended Regular Grammars

Extended Regular Grammars

An extended right regular grammar is one in which all rules obey one of

  1. Ba - where B is a non-terminal in N and a is a terminal in Σ
  2. AwB - where A and B are in N and w is in Σ*
  3. A → ε - where A is in N and ε is the empty string.

Some authors call this type of grammar a right regular grammar (or right linear grammar) and the type above a strictly right regular grammar (or strictly right linear grammar).

An extended left regular grammar is one in which all rules obey one of

  1. Aa - where A is a non-terminal in N and a is a terminal in Σ
  2. ABw - where A and B are in N and w is in Σ*
  3. A → ε - where A is in N and ε is the empty string.

Some authors call this type of grammar a left regular grammar and the type above a strictly left regular grammar.

Read more about this topic:  Regular Grammar

Famous quotes containing the words extended, regular and/or grammars:

    Whenever there are in any country uncultivated lands and unemployed poor, it is clear that the laws of property have been so far extended as to violate natural right. The earth is given as a common stock for man to labor and live on.... The small landowners are the most precious part of a state.
    Thomas Jefferson (1743–1826)

    The solid and well-defined fir-tops, like sharp and regular spearheads, black against the sky, gave a peculiar, dark, and sombre look to the forest.
    Henry David Thoreau (1817–1862)

    A sure proportion of rogue and dunce finds its way into every school and requires a cruel share of time, and the gentle teacher, who wished to be a Providence to youth, is grown a martinet, sore with suspicions; knows as much vice as the judge of a police court, and his love of learning is lost in the routine of grammars and books of elements.
    Ralph Waldo Emerson (1803–1882)