Answer by Jesper for Termination and confluence -- which goes first?
As you have noticed there is no "natural" way to prove confluence and termination: to prove confluence from local confluence you need termination, but proving termination often depends on typing, which...
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I'm implementing a version of cubical type theory where the well-definedness of pattern matching functions is implied by:the well-typedness of the clauses (type check)the coverage of the patterns...
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