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| Content Provider | Society for Industrial and Applied Mathematics (SIAM) |
|---|---|
| Author | Citrini, Claudio Crespi-Reghizzi, Stefano Mandrioli, Dino |
| Copyright Year | 1986 |
| Abstract | Chains (or cascade composition) of push-down transducers are introduced as a model of multi-pass compilers. We focus on deterministic chains, since nondeterministic transducer chains of length two define the recursively enumerable sets. Deterministic chains recognize in linear time a superset of context-free deterministic languages. This family is $\mathcal{CH}$ closed under Boolean operations, disjoint shuffle,and reverse deterministic pushdown translation, but not under homomorphism. Equivalent definitions of the family in terms of composition of syntax-directed translation schemes and control languages are considered. The family is a strict hierarchy ordered by the length of the chain. The complexity of $\mathcal{CH}$ is obviously linear, but not all linear-time parsable languages are in $\mathcal{CH}$. On the other hand it strictly includes the Boolean closure of deterministic languages. Finally $\mathcal{CH}$ is not comparable with another classical Boolean algebra of formal languages, namely real-time languages. |
| Starting Page | 668 |
| Ending Page | 693 |
| Page Count | 26 |
| File Format | |
| ISSN | 00975397 |
| DOI | 10.1137/0215049 |
| e-ISSN | 10957111 |
| Journal | SIAM Journal on Computing (SMJCAT) |
| Issue Number | 3 |
| Volume Number | 15 |
| Language | English |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher Date | 2006-07-31 |
| Access Restriction | Subscribed |
| Subject Keyword | Models of computation deterministic languages multi-pass translation Boolean algebra of languages deterministic pushdown transducers $LR$ grammars Formal languages and automata control languages Compilers and interpreters syntax-directed translation cascade composition of push-down automata |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Computer Science |
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