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Weightreducing grammars and ultralinear languages

Published online by Cambridge University Press:  15 March 2004

Ulrike Brandt ,
Ghislain Delepine  and
Hermann K.-G. Walter
Ulrike Brandt
Affiliation:
University of Technology, Darmstadt Department of Computer Science, Germany; [email protected]., [email protected]., [email protected].
Ghislain Delepine
Affiliation:
University of Technology, Darmstadt Department of Computer Science, Germany; [email protected]., [email protected]., [email protected].
Hermann K.-G. Walter
Affiliation:
University of Technology, Darmstadt Department of Computer Science, Germany; [email protected]., [email protected]., [email protected].
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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.

Keywords

Chomsky-grammarsweightfunctionsweightreducing grammarsemptiness problemultralinear languages.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 38 , Issue 1 , January 2004 , pp. 19 - 25
Copyright
© EDP Sciences, 2004

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References

B. Brainerd, An Analoge of a Theorem about Contextfree Languages. Inform. Control 11 (1968).
S. Ginsburg and E.H. Spanier, Finite-Turn Pushdown Automata. J. SIAM Control 4 (1966).
S. Ginsburg and E.H. Spanier, Derivation – bounded languages. J. Comput. Syst. Sci. 2 (1968).
J. Gruska, A Few Remarks on the Index of Contextfree Grammars and Languages. Inform. Control 19 (1971)
M.A. Harrison, Introduction to Formal Language Theory. Addison-Wesley Pub. Co. (1978).
A. Salomaa, Formal Languages. Academic Press, New York (1973).