A Descriptive Characterisation of Indexed Grammars

Indexed grammars are shown to correspond to an existential monadic second-order logic over phrase structure trees, extended with a single existential quantifier ranging over a certain type of unary function. Indexed grammars are also shown to correspond to contingency grammars, a strengthening of co...

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Veröffentlicht in:Grammars : a journal of mathematical research on formal and natural languages 2001-01, Vol.4 (3), p.205-262
1. Verfasser: Langholm, Tore
Format: Artikel
Sprache:eng
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Zusammenfassung:Indexed grammars are shown to correspond to an existential monadic second-order logic over phrase structure trees, extended with a single existential quantifier ranging over a certain type of unary function. Indexed grammars are also shown to correspond to contingency grammars, a strengthening of context-free grammars that make use of such unary functions. 29 References. Adapted from the source document
ISSN:1386-7393