1994 | ReviewPaper | Buchkapitel
Proof plans for the correction of false conjectures
verfasst von : Raul Monroy, Alan Bundy, Andrew Ireland
Erschienen in: Logic Programming and Automated Reasoning
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Theorem proving is the systematic derivation of a mathematical proof from a set of axioms by the use of rules of inference. We are interested in a related but far less explored problem: the analysis and correction of false conjectures, especially where that correction involves finding a collection of antecedents that, together with a set of axioms, transform non-theorems into theorems. Most failed search trees are huge, and special care is to be taken in order to tackle the combinatorial explosion phenomenon. Fortunately, the planning search space generated by proof plans, see [1], are moderately small. We have explored the possibility of using this technique in the implementation of an abduction mechanism to correct non-theorems.