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Annals of Mathematics and Artificial Intelligence
Article . 1993 . Peer-reviewed
License: Springer TDM
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Article . 1993
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Article . 2017
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Article . 1993
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A recursion planning analysis of inductive completion

Authors: Barnett, R.; Basin, D.; Hesketh, J.;

A recursion planning analysis of inductive completion

Abstract

We use the AI proof planning techniques ofrecursion analysis andrippling as tools to analyze so-calledinductionless induction proof techniques. Recursion analysis chooses induction schemas and variables and rippling controls rewriting in explicit induction proofs. They provide a basis for explaining the success and failure of inductionless induction, both in deduction of critical pairs and in their simplification. Furthermore, these explicit induction techniques motivate and provide insight into advancements in inductive completion algorithms and suggest directions for further improvements. Our study includes an experimental comparison of Clam, an explicit induction theorem prover, with an implementation of Huet and Hullot's inductionless induction.

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Keywords

Theorem proving (deduction, resolution, etc.)

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze