The copying power of one-state tree transducers

Joost Engelfriet, Sven Skyum

Research output: Contribution to journal › Article › Academic › peer-review

5 Citations (Scopus)
32 Downloads (Pure)

Abstract

One-state deterministic top-down tree transducers (or, tree homomorphisms) cannot handle "prime copying," i.e., their class of output (string) languages is not closed under the operation L → {$(w$)f(n) w ε L, f(n) ≥ 1}, where f is any integer function whose range contains numbers with arbitrarily large prime factors (such as a polynomial). The exact amount of nonclosure under these copying operations is established for several classes of input (tree) languages. These results are relevant to the extended definable (or, restricted parallel level) languages, to the syntax-directed translation of context-free languages, and to the tree transducer hierarchy.
Original languageEnglish
Pages (from-to)418-435
JournalJournal of computer and system sciences
Volume25
Issue number3
DOIs
Publication statusPublished - 1982

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Copying
Transducer
Transducers
Context free languages
Polynomials
Context-free Languages
Prime factor
Homomorphisms
Strings
Closed
Polynomial
Integer
Output
Range of data
Language
Class

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Engelfriet, Joost ; Skyum, Sven. / The copying power of one-state tree transducers. In: Journal of computer and system sciences. 1982 ; Vol. 25, No. 3. pp. 418-435.
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Engelfriet, J & Skyum, S 1982, 'The copying power of one-state tree transducers' Journal of computer and system sciences, vol. 25, no. 3, pp. 418-435. https://doi.org/10.1016/0022-0000(82)90019-8

The copying power of one-state tree transducers. / Engelfriet, Joost; Skyum, Sven.

In: Journal of computer and system sciences, Vol. 25, No. 3, 1982, p. 418-435.

Research output: Contribution to journal › Article › Academic › peer-review

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T1 - The copying power of one-state tree transducers

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AU - Skyum, Sven

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DO - 10.1016/0022-0000(82)90019-8

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Engelfriet J, Skyum S. The copying power of one-state tree transducers. Journal of computer and system sciences. 1982;25(3):418-435. https://doi.org/10.1016/0022-0000(82)90019-8

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