Confluent NCE graph grammar: различия между версиями
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'''Confluent NCE graph grammar''' | '''Confluent NCE graph grammar''' — ''[[конфлуентная графовая грамматика типа NCE]].'' | ||
грамматика типа NCE. | |||
An ''NCE graph grammar'' <math> | An ''[[NCE graph grammar]]'' <math>\mathcal {G}</math> is '''confluent''' (C-NCE) if | ||
for every graph <math>G</math> derivable (see '' Derivation'') from the axiom of | for every [[graph, undirected graph, nonoriented graph|graph]] <math>\,G</math> derivable (see '' [[Derivation]]'') from the axiom of <math>\mathcal {G}</math>, all nonterminal [[node|nodes]] <math>\,u, v</math> in <math>\,G</math>, and all productions <math>\,(\phi(u),H,D), \; (\phi(v),J,F)</math> in <math>{\mathcal G}</math> we have: | ||
<math> | |||
<math>(\phi(u),H,D), \; (\phi(v),J,F)</math> in <math>{\mathcal G}</math> we have: | |||
<math>G[u/_{D} H][v/_{F} J] = G[v/_{F} J][u/_{D} H].</math> | <math>\,G[u/_{D} H][v/_{F} J] = G[v/_{F} J][u/_{D} H].</math> | ||
In the confluent graph grammar, the order in which the productions are | In the confluent graph grammar, the order in which the productions are applied is irrelevant for the resulting graph. | ||
applied is irrelevant for the | |||
resulting graph. | ==Литература== | ||
* Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009. | |||
Текущая версия от 10:48, 24 октября 2018
Confluent NCE graph grammar — конфлуентная графовая грамматика типа NCE.
An NCE graph grammar [math]\displaystyle{ \mathcal {G} }[/math] is confluent (C-NCE) if for every graph [math]\displaystyle{ \,G }[/math] derivable (see Derivation) from the axiom of [math]\displaystyle{ \mathcal {G} }[/math], all nonterminal nodes [math]\displaystyle{ \,u, v }[/math] in [math]\displaystyle{ \,G }[/math], and all productions [math]\displaystyle{ \,(\phi(u),H,D), \; (\phi(v),J,F) }[/math] in [math]\displaystyle{ {\mathcal G} }[/math] we have:
[math]\displaystyle{ \,G[u/_{D} H][v/_{F} J] = G[v/_{F} J][u/_{D} H]. }[/math]
In the confluent graph grammar, the order in which the productions are applied is irrelevant for the resulting graph.
Литература
- Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.