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Top-down tree transducers with regular look-ahead

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An Erratum to this article was published on 29 August 2015

Abstract

Top-down tree transducers with regular look-ahead are introduced. It is shown how these can be decomposed and composed, and how this leads to closure properties of surface sets and tree transformation languages. Particular attention is paid to deterministic tree transducers.

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References

  1. A. Arnold andM. Dauchet, Transductions de forets regulieres monadiques; forets coregulieres,RAIRO 10 (1976), 5–28.

    Google Scholar 

  2. P. R. J. Asveld, Controlled iteration grammars and full hyper-AFL's,Memoradum 114, Technical University Twente, Holland, 1976.

    Google Scholar 

  3. B. S. Baker, Tree transductions and families of tree languages, Ph.D. Thesis, Harvard University,Report TR-9-73, 1973 (also:5th Theory of Computing, 200–206).

  4. K. Čulik II andR. Cohen, LR-regular grammars—an extension of LR(k) grammars,JCSS 7 (1973), 66–96.

    Google Scholar 

  5. P. J. Downey, Tree transducers andETOL tree systems (abstract),Conference on Formal Languages, Automata and Development, Noordwijkerhout, Holland, 1975.

    Google Scholar 

  6. A. Ehrenfeucht andG. Rozenberg, On inverse homomorphic images of deterministicETOL languages,LOCOS 13, Utrecht University, Holland, 1974.

    Google Scholar 

  7. J. Engelfriet, Bottom-up and top-down tree transformations—a comparison,Math. Syst. Theory 9 (1975), 198–231. This paper is also referred to as BT.

    Google Scholar 

  8. J. Engelfriet, Surface tree languages and parallel derivation trees,DAIMI Report PB-44, Aarhus University, Denmark, 1975 (to appear in Theoretical Computer Science).

  9. G. T. Herman andG. Rozenberg,Developmental systems and languages, North-Holland Publ. Co., Amsterdam, 1975.

    Google Scholar 

  10. J. E. Hopcroft andJ. D. Ullman,Formal languages and their relation to automata, Addison-Wesley Publ. Co., Reading, Mass., 1969.

    Google Scholar 

  11. L. S. Levy andA. K. Joshi, Some results in tree automata,Math. Syst. Theory 6 (1973), 334–342.

    Google Scholar 

  12. W. F. Ogden andW. C. Rounds, Composition ofn transducers,4th Symp. on Theory of Computing, 1972, pp. 198–206.

  13. W. C. Rounds, Mappings and grammars on trees,Math. Syst. Theory,4 (1970), 257–287.

    Google Scholar 

  14. J. W. Thatcher, Generalized2 sequential machine maps,JCSS 4 (1970), 339–367.

    Google Scholar 

  15. J. W. Thatcher, Tree automata: an informal survey, in:Currents in the Theory of Computing (ed. A. V. Aho), Prentice-Hall, 1973, pp. 143–172.

  16. M. Dauchet,Transductions inversibles de forets, These, Univ. de Lille, France, 1975.

    Google Scholar 

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The research reported here was carried out during a one-year visit of the author to the Dept. of Computer Science of Aarhus University, Aarhus, Denmark.

An erratum to this article is available at http://dx.doi.org/10.1007/s00224-015-9647-z.

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Engelfriet, J. Top-down tree transducers with regular look-ahead. Math. Systems Theory 10, 289–303 (1976). https://doi.org/10.1007/BF01683280

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  • DOI: https://doi.org/10.1007/BF01683280

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