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Formal parsing systems
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Communications of the ACM archive
Volume 7 ,  Issue 8  (August 1964) table of contents
Pages: 499 - 504  
Year of Publication: 1964
ISSN:0001-0782
Author
Sheila A. Greibach  Harvard Univ., Cambridge, MA
Publisher
ACM  New York, NY, USA
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ABSTRACT

Automatic syntactic analysis has recently become important for both natural language data processing and syntax-directed compilers. A formal parsing system G = (V, &mgr;, T, R) consists of two finite disjoint vocabularies, V and T, a many-many map, &mgr;, from V onto T, and a recursive set R of strings in T called syntactic sentence classes. Every program for automatic syntactic analysis determines a formal parsing system. A directed production analyzer (I, T, X, &rgr;) is a nondeterministic pushdown-store machine with internal vocabulary I, input vocabulary T, and all productions of &rgr; in the form: (Z, a) → aY1 ··· Ym, Z, Yi &egr; I, a &egr; T. Every context-free language can be analyzed by a directed production analyzer.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BAR-HILLEL, Y., PERLES, M., AND SHAMIR, E. On formal properties of simple phrase structure grammars. Zeit. Phonet. Spraehwiss. Kommunik. Forsch. 15, 2 (1961), 143-72.
 
2
CHOMSKY, N. Formal properties of grammars. In Handbook of Mathematical Psychology, Vol. II. Luce, R. D., Bush, R. R., and Galantes, E. (EDs.), John Wiley, New York, 1963, 323-418.
 
3
EVEY, J. The Theory and Applications of Pushdown Store Machines. Doct. Thesis, Div. Eng. Appl. Phys., Harvard U., Cambridge, Mass., June 1963.
 
4
GREIBACH, S. Inverses of Phrase Structure Generators. Doer. Thesis, Div. Eng. Appl. Phys., Harvard U., Cambridge, Mass., June 1963.
 
5
The undecidability of the ambiguity problem for minimal linear grammars. Inform. Contr. 6, 2 (June 1963), 119-25.
 
6
HARTMANIS, J., AND STEARNS, R. E. On the computational complexity of algorithms. Rep. No. 63-RL-3292E, General Electric Res. Lab., Schenectady, N. Y., April 1963.
 
7
KUNO, S., AND OETTINGER, A. G. Syntactic structure and ambiguity of English. Proc. 1963 Fall Joint Comput. Conf., Spartan Books, Inc., Baltimore, 1963.
 
8
MATTHEWS, G. H. Analysis by synthesis of natural languages. Proc. 1961 Int. Conf. on Machine Translation of Languages and Applied Language Analysis, Vol. II. Her Majesty's Stationery Off., London, 1962.
 
9
OETTINGER, A. G. Automatic syntactic analysis and the pushdown store. Proc. of Symposia in Applied Mathematics, Vol. 72. Amer. Math. Soc., Providence, R. I., 1961.
 
10
PARIKH, R. J. Language generating devices. Quart. Prog. Rep. No. 60, Res. Lab. of Electronics, MIT, Cambridge, Mass., Jan. 1961, 199-212.
 
11
ROBINSON, J. Preliminary codes and rules for the automatic parsing of English. Memo. RM-3339-PR, The RAND Corp., Santa Monica, Calif., Dec. 1962.
 
12
SCHUTZENBERGER, M. P. On context-free languages and pushdown automata. Inform. Contr. 6, 3 (Sept. 1963), 246-264.