Inductive Theorem Proving and Computer Algebra in the MathWeb Software Bus

Authors:
Jürgen Zimmer;Louise A. Dennis
Affiliations:
-;-
Venue:
AISC '02/Calculemus '02 Proceedings of the Joint International Conferences on Artificial Intelligence, Automated Reasoning, and Symbolic Computation
Year:
2002

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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 software bus. We describe the integration of the 驴Clam system, a reasoning specialist for proofs by induction, into the MathWeb-SB. Due to this integration, 驴Clam now offers its theorem proving expertise to other systems in the MathWeb-SB. On the other hand, 驴Clam can use the services of any reasoning specialist already integrated. We focus on the latter and describe first experiments on proving theorems by induction using the computational power of the Maple system within 驴Clam.