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| Content Provider | Society for Industrial and Applied Mathematics (SIAM) |
|---|---|
| Author | Joshi, Aravind K. Levy, Leon S. |
| Copyright Year | 1977 |
| Abstract | It is very often more convenient and more meaningful to specify a set of structural descriptions analytically rather than generatively, i.e., by specifying a set of constraints each structured description in the set has to satisfy. Peters and Ritchie [7] have shown that if context-sensitive rules are used only for analysis then the string language of the set of trees is still context-free. In this paper, we have generalized this result by considering context-free rules constrained by Boolean combinations of proper analysis predicates and domination predicates. These rules, called "local transformations" not only make precise an informal and briefly discussed notion of Chomsky [2], but also, generalize it in an appropriate manner. It is shown that the Peters-Ritchie result can be generalized to local transformations. Linguistic relevance of this result has been also briefly discussed. Results in this paper are relevant to the following situation: Patterns of a class, say A, may be difficult to characterize generatively; but, it may be possible to specify a suitable (nontrivial) augmentation, say B, of the class A, such that B can be easily characterized generatively, and then A is characterized by stating some restrictions on the class B. This suggests possible applications to programming languages and pattern description languages. |
| Starting Page | 272 |
| Ending Page | 284 |
| Page Count | 13 |
| File Format | |
| ISSN | 00975397 |
| DOI | 10.1137/0206020 |
| e-ISSN | 10957111 |
| Journal | SIAM Journal on Computing (SMJCAT) |
| Issue Number | 2 |
| Volume Number | 6 |
| Language | English |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher Date | 2006-07-13 |
| Access Restriction | Subscribed |
| Subject Keyword | structural descriptions transformational grammars immediate constituent analysis local transformations proper analysis and domination predicates local sets and recognizable sets tree automata constraints on structural descriptions rules for generation and for analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Computer Science |
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