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8 votes
1 answer
241 views

Termination and confluence -- which goes first?

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 (...
ice1000's user avatar
  • 6,316
9 votes
1 answer
349 views

Case splitting with quotient types in Cubical Agda

I'm getting started with Cubcal Agda and I'm quite confused. I've got a HIT A defined, with a path constructor eq returning <...
Joey Eremondi's user avatar
8 votes
1 answer
158 views

Are `P x` and `▸ ((next P) ⊛ (next x))` equivalent in Guarded Cubical Agda?

In Guarded Cubical Agda there's ▹_ : Set i → Set i and ▸_ : ▹ Set i → Set i. If I've got ...
Joey Eremondi's user avatar