Relative Normalization in Orthogonal Expression Reduction Systems

@inproceedings{Glauert1994RelativeNI,
title={Relative Normalization in Orthogonal Expression Reduction Systems},
author={John R. W. Glauert and Zurab Khasidashvili},
booktitle={CTRS},
year={1994}
}

We study reductions in orthogonal (left-linear and non-ambiguous) Expression Reduction Systems, a formalism for Term Rewriting Systems with bound variables and substitutions. To generalise the normalization theory of Huet and Lévy, we introduce the notion of with respect to a set of reductions or a set of terms so that each existing notion of neededness can be given by specifying or . We imposed natural conditions on , called , that are sufficient and necessary for each term not in -normal form… CONTINUE READING