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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Leanest Quasi-orderings
Preliminary Version
verfasst von : Nachum Dershowitz, E. Castedo Ellerman
Erschienen in: Term Rewriting and Applications
Verlag: Springer Berlin Heidelberg
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A convenient method for defining a quasi-ordering, such as those used for proving termination of rewriting, is to choose the minimum of a set of quasi-orderings satisfying some desired traits. Unfortunately, a minimum in terms of set inclusion can be non-existent even when an intuitive “minimum” exists. We suggest an alternative to set inclusion, called “leanness”, show that leanness is a partial ordering of quasi-orderings, and provide sufficient conditions for the existence of a “leanest” ordering.