Combining algebraic computing and term-Rewriting for geometry theorem proving

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1476, Issue , 1998, Pages 145-156

  Fèvre, Stéphane ^a   Wang, Dongming ^a  

^a Laboratoire Leibniz   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ARTIFICIAL INTELLIGENCE;

ALGEBRAIC REDUCTIONS; AUTOMATED GEOMETRY THEOREM PROVING; CLIFFORD; GEOMETRY THEOREM; MAPLE-V; TERM REWRITING; TERM REWRITING TECHNIQUES;

THEOREM PROVING;

EID: 84961375238     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0055909     Document Type: Conference Paper

References (13)

1. Buchberger, B.: Grobner bases: An algorithmic method in polynomial ideal theory. In: Multidimensional systems theory (N. K. Bose, ed.), D. Reidel, Dordrecht Boston, pp. 184-232 (1985).
2. Biindgen, R.: Combining computer algebra and rule based reasoning. In: Proc. AISMC-2 (Cambridge, UK, August 3-5, 1994), LNCS 958, pp. 209-223 (1995).
3. Fevre, S.: Integration of reasoning and algebraic calculus in geometry. In: Automated deduction in geometry (D. Wang et al., eds.), LNAI 1360, pp. 218-234 (1998).
4. Fevre, S., Wang, D.: Proving geometric theorems using Clifford algebra and rewrite rules. In: Proc. CADE-15 (Lindau, Germany, July 5-10, 1998), LNAI (to appear).
5. Hestenes, D., Sobczyk, G.: Clifford algebra to geometric calculus. D. Reidel, Dordrecht Boston (1984).
6. Homann, K., Calmet, J.: Combining theorem proving and symbolic mathematical computing. In: Proc. AISMC-2 (Cambridge, UK, August 3-5, 1994), LNCS 958, pp. 18-29 (1995).
7. Li, H.: New explorations on mechanical theorem proving of geometries. Ph.D thesis, Beijing University, China (1994).
8. Li, H.: Vectorial equations-solving for mechanical geometry theorem proving. J. Automat. Reason. (to appear).
9. Li, H., Cheng, M.-t.: Proving theorems in elementary geometry with Clifford algebraic method. Chinese Math. Progress 26: 357-371 (1997).
10. Marche, C.: Normalized rewriting: An alternative to rewriting modulo a set of equations. J. Symb. Comput. 3: 253-288 (1996).
11. Wang, D.: GEOTHER: A geometry theorem prover. In: Proc. CADE-13 (New Brunswick, USA, July 30 — August 3, 1996), LNAI 1104, pp. 166-170 (1996).
12. Wang, D.: Clifford algebraic calculus for geometric reasoning with application to computer vision. In: Automated deduction in geometry (D. Wang et al., eds.), LNAI 1360, pp. 115-140 (1998).
13. Wu, W.-t.: Mechanical theorem proving in geometries: Basic principles. Springer, Wien New York (1994).