Levels of Undecidability in Infinitary Rewriting: Normalization and Reachability

Computer Science – Logic in Computer Science

Scientific paper

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Scientific paper

In [EGZ09] it has been shown that infinitary strong normalization (SNi) is
Pi-1-1-complete. Suprisingly, it turns out that infinitary weak normalization
(WNi) is a harder problem, being Pi-1-2-complete, and thereby strictly higher
in the analytical hierarchy.

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