Termination of (Canonical) Context-Sensitive Rewriting

摘要

Context-sensitive rewriting (CSR) is a restriction of rewriting which forbids reductions on selected arguments of functions. A replacement map discriminates, for each symbol of the signature, the argument positions on which replacements are allowed. If the replacement restrictions are less restrictive than those expressed by the so-called canonical replacement map, then CSR can be used for computing (infinite) normal forms of terms. Termination of such canonical CSR is desirable when using CSR for these purposes. Existing transformations for proving termination of CSR fulfill a number of new properties when used for proving termination of canonical CSR.