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

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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.

DOI : 10.1051/ita:2004001
Classification : 68Q45
Mots-clés : 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},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {1},
     year = {2004},
     doi = {10.1051/ita:2004001},
     zbl = {1084.68058},
     mrnumber = {2059026},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2004001/}
}
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AU  - Delepine, Ghislain
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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. https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2004001/

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