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A Coinductive Treatment of Infinitary Rewriting | | Joerg Endrullis
; Helle Hvid Hansen
; Dimitri Hendriks
; Andrew Polonsky
; Alexandra Silva
; | | Date: |
26 Jun 2013 | | Abstract: | We introduce a coinductive definition of infinitary term rewriting. The setup
is surprisingly simple, and has in contrast to the usual definitions of
infinitary rewriting, neither need for ordinals nor for metric convergence.
While the idea of a coinductive treatment of infinitary rewriting is not new,
all previous approaches were limited to reductions of length at most omega. The
approach presented in this paper is the first to capture the full infinitary
term rewriting with reductions of arbitrary ordinal length. Apart from an
elegant reformulation of known concepts, our approach gives rise, in a very
natural way, to a novel notion of infinitary equational reasoning. | | Source: | arXiv, 1306.6224 | | Services: | Forum | Review | PDF | Favorites | |
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