Geometric Reasoning with Geometric Algebra

Dongming Wang (1, 2)

1 CALFOR - Calcul formel
2 SPACES - Solving problems through algebraic computation and efficient software

This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.

Mots clés: clifford algebra; preuve automatique d'identité; approche inductive

Mots clés: raisonnement géométrique; algèbre de clifford; induction principle; geometric theorem proving; automated proof of identity

Domaines: Autre [cs.OH]

Dongming Wang. Geometric Reasoning with Geometric Algebra. E. Bayro-Corrochano and G. Sobczyk. Geometric Algebra with Applications in Science and Engineering, Birkhäuser, pp.87-109, 2001, ⟨10.1007/978-1-4612-0159-5_5⟩. ⟨inria-00100621⟩