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Mar 20, 2020 13 min

Noncompositionality of syntactic structural-recursion checks

from Iowa Type Theory Commute Hosted by Aaron Stump

Review of need for termination analysis for recursive functions on inductive datatypes. Discussion of a serious problem with syntactic termination checks, namely noncompositionality. A function may pass the syntactic termination check, but abstracting part of it out into a helper function may result in code which no longer passes the check. So we need a compositional termination check, which will be discussed in subsequent episodes.

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Noncompositionality of syntactic structural-recursion checks

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