A recursion planning analysis of inductive completion:

Abstract: "We use the AI proof planning techniques of recursion analysis and rippling as tools to analyze inductive completion or so called inductionless induction proof techniques. Recursion analysis chooses induction schemas and variables and rippling controls post- induction rewriting in exp...

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Bibliographic Details
Main Authors: Barnett, R. (Author), Basin, D. (Author), Hesketh, Jane (Author)
Format: Book
Language:English
Published: Edinburgh 1991
Series:University <Edinburgh> / Department of Artificial Intelligence: DAI research paper 518
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Summary:Abstract: "We use the AI proof planning techniques of recursion analysis and rippling as tools to analyze inductive completion or so called inductionless induction proof techniques. Recursion analysis chooses induction schemas and variables and rippling controls post- induction rewriting in explicit induction proofs. They provide a theoretical basis for explaining the success and failure of inductionless induction both in generating conflatable critical pairs (which correspond to induction schemas) and in the simplification of these pairs (which corresponds to post-induction proof)
Furthermore, these explicit induction techniques motivate and provide insight into recent improvements in inductive completion algorithms and suggest directions for futhur improvements. Our study also includes an experimental comparison of Clam, an explicit induction theorem prover, with an implementation of Huet and Hullot's inductionless induction.
Physical Description:20 S.

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