Commutation, Transformation, and Termination

@inproceedings{Bachmair1986CommutationTA,
  title={Commutation, Transformation, and Termination},
  author={Leo Bachmair and Nachum Dershowitz},
  booktitle={CADE},
  year={1986}
}
In this paper we study the use of commutation properties for proving termination of rewrite systems. Commutation properties may be used to prove termination of a combined system R∪S by proving termination of R and S separately. We present termination methods for ordinary and for equational rewrite systems. Commutation is also important for transformation techniques. We outline the application of transforms—mappings from terms to terms—to termination in general, and describe various specific… 
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Isomorphisms of simple inductive types through extensional rewriting
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  • Mathematics
    Mathematical Structures in Computer Science
  • 2005
TLDR
The notion of a faithful copy of an inductive type and a corresponding conversion relation that also preserves the good properties of the calculus are defined.
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