@article{ITA_1991__25_2_157_0, author = {Rouyer, Jocelyne}, title = {Preuves de terminaison de syst\`emes de r\'e\'ecriture fond\'ees sur les interpr\'etations polynomiales. {Une} m\'ethode bas\'ee sur le th\'eor\`eme de {Sturm}}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {157--169}, publisher = {EDP-Sciences}, volume = {25}, number = {2}, year = {1991}, mrnumber = {1110982}, zbl = {0731.68061}, language = {fr}, url = {http://archive.numdam.org/item/ITA_1991__25_2_157_0/} }
TY - JOUR AU - Rouyer, Jocelyne TI - Preuves de terminaison de systèmes de réécriture fondées sur les interprétations polynomiales. Une méthode basée sur le théorème de Sturm JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1991 SP - 157 EP - 169 VL - 25 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_1991__25_2_157_0/ LA - fr ID - ITA_1991__25_2_157_0 ER -
%0 Journal Article %A Rouyer, Jocelyne %T Preuves de terminaison de systèmes de réécriture fondées sur les interprétations polynomiales. Une méthode basée sur le théorème de Sturm %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 1991 %P 157-169 %V 25 %N 2 %I EDP-Sciences %U http://archive.numdam.org/item/ITA_1991__25_2_157_0/ %G fr %F ITA_1991__25_2_157_0
Rouyer, Jocelyne. Preuves de terminaison de systèmes de réécriture fondées sur les interprétations polynomiales. Une méthode basée sur le théorème de Sturm. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 25 (1991) no. 2, pp. 157-169. http://archive.numdam.org/item/ITA_1991__25_2_157_0/
1. Termination of Rewriting by Polynomial Interpetretations and its Implementation, Sci. Comput. Programming, October 1987, Vol. 9 (2), pp. 137-160. | MR | Zbl
and ,2. Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition, Proceedings 2nd GI Conference on Automata and Formal Languages, Springer Verlag, Lectures Notes in Computer Science 1975. | MR | Zbl
,3. Hilbert's Tenth Problem: Positive Aspects of a Negative Solution, in F. E. BROWDER Ed., Mathematical Developments Arising from Hubert Problems, American Mathematical Society, 1976, pp. 323-378. | MR | Zbl
, and .4. Corrigendum to Termination of Rewriting, J. Symbolic Comput., 1987, Vol. 4, pp. 409-410. | MR | Zbl
,5. Termination of Rewriting, J. Symbolic Comput., 1987, Vol. 3 (1 et 2), pp. 69-116. | MR | Zbl
,6. The Art of Computer Programming, Vol. 2, Addison Wesley, Reading Massachusetts, 2nd edition, 1981. | MR | Zbl
,7. On Proving Term Rewriting Systems are Noetherian, Technical Report, Louisiana Tech. University, Mathematics Dept., Ruston LA, 1979.
,8. A Decision Method for Elementary Algebra and Geometry, University of California Press, Berkeley, 2nd edition, 1951. | MR | Zbl
,