The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
The equivalence of four extensions of context-free grammars
Open accessAbstract
There is currently considerable interest among computational linguists in grammatical formalisms with highly restricted generative power. This paper concerns the relationship between the class of string languages generated by several such formalisms, namely, combinatory categorial grammars, head grammars, linear indexed grammars, and tree adjoining grammars. Each of these formalisms is known to generate a larger class of languages than context-free grammars. The four formalisms under consideration were developed independently and appear superficially to be quite different from one another. The result presented in this paper is that all four of the formalisms under consideration generate exactly the same class of string languages.
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Cites
Generalized Phrase Structure Grammar.
Soames, S., Gazdar, G., Klein, E., Pullum, G., & Sag, I. (1989) · The Philosophical Review · doi:10.2307/2185122 · Cited by 1,829
Recognition and parsing of context-free languages in time n3
Younger, D. H. (1967) · Information and Control · doi:10.1016/s0019-9958(67)80007-x · Cited by 935
Joshi, A. K., Levy, L. S., & Takahashi, M. (1975) · Journal of Computer and System Sciences · doi:10.1016/s0022-0000(75)80019-5 · Cited by 770
Evidence against the context-freeness of natural language
Shieber, S. M. (1985) · Linguistics and Philosophy · doi:10.1007/bf00630917 · Cited by 655
Dependency and Coordination in the Grammar of Dutch and English
Steedman, M. (1985) · Language · doi:10.2307/414385 · Cited by 358
Categorial Grammars and Natural Language Structures
(1988) · Studies in Linguistics and Philosophy · doi:10.1007/978-94-015-6878-4 · Cited by 320
Characterizing mildly context-sensitive grammar formalisms
Weir, D. J., & Joshi, A. K. (1988) · Scholarly Commons (University of Pennsylvania) · Cited by 281
Self-citationNatural Languages and Context-Free Languages
Pullum, G. K., & Gazdar, G. (1987) · Studies in Linguistics and Philosophy · doi:10.1007/978-94-009-3401-6_7 · Cited by 209
Natural languages and context-free languages
Pullum, G. K., & Gazdar, G. (1982) · Linguistics and Philosophy · doi:10.1007/bf00360802 · Cited by 195
A study of tree adjoining grammars
Vijayashanker, K., & Joshi, A. K. (1987) · Cited by 186
Cited by
Steedman, M. (2000) · The MIT Press eBooks · doi:10.7551/mitpress/6591.001.0001 · Cited by 1,585
Combinatory Categorial Grammar
Steedman, M., & Baldridge, J. (2011) · Non‐Transformational Syntax · doi:10.1002/9781444395037.ch5 · Cited by 259
One model for the learning of language
Yang, Y., & Piantadosi, S. T. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2021865119 · Cited by 50
Metadata
- Authors
- Vijay-Shanker, K., & Weir, D. J.
- Venue
- Mathematical Systems Theory
- Published
- 1994-11
- Volume
- 27
- Issue
- 6
- Pages
- 511-546
- ISSN
- 0025-5661 (ISSN-L)
- 1433-0490
- OpenAlex
- W2038141781
- Cited by
- 260
- References
- 16
- FWCI
- 7.76
- Type
- journal article
- Language
- en
- Open access
- green
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