The Equivalence of Tree Adjoining Grammars and Monadic Linear Context-free Tree Grammars

Abstract
The equivalence of leaf languages of tree adjoining grammars and monadic linear context-free grammars was shown about a decade ago. This paper presents a proof of the strong equivalence of these grammar formalisms. Non-strict tree adjoining grammars and monadic linear context-free grammars define the same class of tree languages. We also present a logical characterisation of this tree language class showing that a tree language is a member of this class iff it is the two-dimensional yield of an MSO-definable three-dimensional tree language
Keywords Tree adjoining grammar  Monadic linear context-free tree grammar  Monadic second-order logic  Model theoretic syntax
Categories (categorize this paper)
DOI 10.1007/s10849-011-9134-0
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,567
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Second-Order Abstract Categorial Grammars as Hyperedge Replacement Grammars.Makoto Kanazawa - 2010 - Journal of Logic, Language and Information 19 (2):137-161.
Lexicalized Non-Local MCTAG with Dominance Links is NP-Complete.Lucas Champollion - 2011 - Journal of Logic, Language and Information 20 (3):343-359.
Highly Constrained Unification Grammars.Daniel Feinstein & Shuly Wintner - 2008 - Journal of Logic, Language and Information 17 (3):345-381.
A Descriptive Characterisation of Linear Languages.Tore Langholm - 2006 - Journal of Logic, Language and Information 15 (3):233-250.
Product-Free Lambek Calculus and Context-Free Grammars.Mati Pentus - 1997 - Journal of Symbolic Logic 62 (2):648-660.
Added to PP index
2011-07-16

Total downloads
18 ( #275,391 of 2,180,798 )

Recent downloads (6 months)
1 ( #299,817 of 2,180,798 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums