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regular tree grammar : ウィキペディア英語版
regular tree grammar
In theoretical computer science and formal language theory, a regular tree grammar (RTG) is a formal grammar that describes a set of directed trees, or terms. A regular word grammar can be seen as a special kind of regular tree grammar, describing a set of single-path trees.
==Definition==

A regular tree grammar ''G'' is defined by the tuple
''G'' = (''N'', Σ, ''Z'', ''P''),
where
* ''N'' is a set of nonterminals,
* Σ is a ranked alphabet (i.e., an alphabet whose symbols have an associated arity) disjoint from ''N'',
* ''Z'' is the starting nonterminal, with ''Z'' ∈ ''N'', and
* ''P'' is a set of productions of the form ''A'' → ''t'', with ''A'' ∈ ''N'', and ''t'' ∈ ''T''Σ(''N''), where ''T''Σ(''N'') is the associated term algebra, i.e. the set of all trees composed from symbols in Σ ∪ ''N'' according to their arities, where nonterminals are considered nullary.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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