Weightreducing grammars and ultralinear languages

Ulrike Brandt; Ghislain Delepine; Hermann K.-G. Walter

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2004)

  • Volume: 38, Issue: 1, page 19-25
  • ISSN: 0988-3754

Abstract

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We exhibit a new class of grammars with the help of weightfunctions. They are characterized by decreasing the weight during the derivation process. A decision algorithm for the emptiness problem is developed. This class contains non-contextfree grammars. The corresponding language class is identical to the class of ultralinear languages.

How to cite

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Brandt, Ulrike, Delepine, Ghislain, and Walter, Hermann K.-G.. "Weightreducing grammars and ultralinear languages." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 38.1 (2004): 19-25. <http://eudml.org/doc/245798>.

@article{Brandt2004,
abstract = {We exhibit a new class of grammars with the help of weightfunctions. They are characterized by decreasing the weight during the derivation process. A decision algorithm for the emptiness problem is developed. This class contains non-contextfree grammars. The corresponding language class is identical to the class of ultralinear languages.},
author = {Brandt, Ulrike, Delepine, Ghislain, Walter, Hermann K.-G.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {Chomsky-grammars; weightfunctions; weightreducing grammars; emptiness problem; ultralinear languages},
language = {eng},
number = {1},
pages = {19-25},
publisher = {EDP-Sciences},
title = {Weightreducing grammars and ultralinear languages},
url = {http://eudml.org/doc/245798},
volume = {38},
year = {2004},
}

TY - JOUR
AU - Brandt, Ulrike
AU - Delepine, Ghislain
AU - Walter, Hermann K.-G.
TI - Weightreducing grammars and ultralinear languages
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2004
PB - EDP-Sciences
VL - 38
IS - 1
SP - 19
EP - 25
AB - We exhibit a new class of grammars with the help of weightfunctions. They are characterized by decreasing the weight during the derivation process. A decision algorithm for the emptiness problem is developed. This class contains non-contextfree grammars. The corresponding language class is identical to the class of ultralinear languages.
LA - eng
KW - Chomsky-grammars; weightfunctions; weightreducing grammars; emptiness problem; ultralinear languages
UR - http://eudml.org/doc/245798
ER -

References

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  1. [1] B. Brainerd, An Analoge of a Theorem about Contextfree Languages. Inform. Control 11 (1968). Zbl0184.02601
  2. [2] S. Ginsburg and E.H. Spanier, Finite-Turn Pushdown Automata. J. SIAM Control 4 (1966). Zbl0147.25302MR204294
  3. [3] S. Ginsburg and E.H. Spanier, Derivation – bounded languages. J. Comput. Syst. Sci. 2 (1968). Zbl0176.16703
  4. [4] J. Gruska, A Few Remarks on the Index of Contextfree Grammars and Languages. Inform. Control 19 (1971) Zbl0241.68036MR311153
  5. [5] M.A. Harrison, Introduction to Formal Language Theory. Addison-Wesley Pub. Co. (1978). Zbl0411.68058MR526397
  6. [6] A. Salomaa, Formal Languages. Academic Press, New York (1973). Zbl0262.68025MR438755

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