no. 1
Weightreducing grammars and ultralinear languages
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 1, pp. 19-25

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.

DOI : 10.1051/ita:2004001
Classification : 68Q45
Keywords: Chomsky-grammars, weightfunctions, weightreducing grammars, emptiness problem, ultralinear languages 
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     author = {Brandt, Ulrike and Delepine, Ghislain and Walter, Hermann K.-G.},
     title = {Weightreducing grammars and ultralinear languages},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {19--25},
     year = {2004},
     publisher = {EDP Sciences},
     volume = {38},
     number = {1},
     doi = {10.1051/ita:2004001},
     mrnumber = {2059026},
     zbl = {1084.68058},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ita:2004001/}
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AU  - Walter, Hermann K.-G.
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Brandt, Ulrike; Delepine, Ghislain; Walter, Hermann K.-G. Weightreducing grammars and ultralinear languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 1, pp. 19-25. doi: 10.1051/ita:2004001

[1] B. Brainerd, An Analoge of a Theorem about Contextfree Languages. Inform. Control 11 (1968). | Zbl

[2] S. Ginsburg and E.H. Spanier, Finite-Turn Pushdown Automata. J. SIAM Control 4 (1966). | Zbl | MR

[3] S. Ginsburg and E.H. Spanier, Derivation - bounded languages. J. Comput. Syst. Sci. 2 (1968). | Zbl

[4] J. Gruska, A Few Remarks on the Index of Contextfree Grammars and Languages. Inform. Control 19 (1971) | Zbl | MR

[5] M.A. Harrison, Introduction to Formal Language Theory. Addison-Wesley Pub. Co. (1978). | Zbl | MR

[6] A. Salomaa, Formal Languages. Academic Press, New York (1973). | Zbl | MR

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