Definition
A regular tree grammar is defined by the tuple
,
where
- is a set of nonterminals,
- is a ranked alphabet (i.e., an alphabet whose symbols have an associated arity) disjoint from ,
- is the starting nonterminal, with, and
- is a set of productions of the form, where, and, where is the associated term algebra, i.e. the set of all trees composed from symbols in according to their arities, where nonterminals are considered nullary.
Read more about this topic: Regular Tree Grammar
Famous quotes containing the word definition:
“It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.””
—Jane Adams (20th century)
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animals—just as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)
“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth man’s fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)