Coinductive Foundations of Infinitary Rewriting and Infinitary Equational Logic

摘要

We present a coinductive framework for defining and reasoning about theinfinitary analogues of equational logic and term rewriting in a uniform,coinductive way. The setup captures rewrite sequences of arbitrary ordinallength, but it has neither the need for ordinals nor for metric convergence.This makes the framework especially suitable for formalizations in theoremprovers.