Inductive Theorem Proving and Computer Algebra in the Mathweb Software Bus

Zimmer, Juergen; Dennis, Louise Abigail

Abstract

Reasoning systems have reached a high degree of maturity in the last decade. However, even the most successful systems are usually not general purpose problem solvers but are typically specialised on problems in a certain domain. The MathWeb SOftware Bus (Mathweb-SB) is a system for combining reasoning specialists via a common osftware bus. We described the integration of the lambda-clam systems, a reasoning specialist for proofs by induction, into the MathWeb-SB. Due to this integration, lambda-clam now offers its theorem proving expertise to other systems in the MathWeb-SB. On the other hand, lambda-clam can use the services of any reasoning specialist already integrated. We focus on the latter and describe first experimnents on proving theorems by induction using the computational power of the MAPLE system within lambda-clam.

Citation

Zimmer, J., & Dennis, L. A. Inductive Theorem Proving and Computer Algebra in the Mathweb Software Bus. Presented at Artificial Intelligence, Automated Reasoning and Symbolic Computation (Calculemus 02)

• Conference Name: Artificial Intelligence, Automated Reasoning and Symbolic Computation (Calculemus 02)
• Publication Date: Jan 1, 2002
• Deposit Date: Nov 24, 2005
• Publicly Available Date: Oct 9, 2007
• Peer Reviewed: Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1022968
• Additional Information: Lecture Notes in Artificial Intelligence 2385