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working on the logrel for soundness proof #86

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merged 15 commits into from
May 28, 2024
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@HuStmpHrrr HuStmpHrrr requested a review from Ailrun May 21, 2024 00:32
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The logical relations for soundness is somewhat cumbersome. In Agda code, they are defined by recursion on the PER model, which obviously is not possible in our case. I think it might just be easier to copy the PER model and extends it. Then we prove two lemmas: one says that a PER model necessarily gives a gluing model, and the other one says that a gluing model can be degenerated to a PER model. Hopefully, this is enough to recover the recursive definitions in Agda. I am not sure how repetitive the lemmas will be. I hope not by a lot after prove these two lemmas.

@HuStmpHrrr HuStmpHrrr changed the title [WIP] working on the logrel for soundness proof working on the logrel for soundness proof May 25, 2024
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It's ready for review. Let's prove properties in another PR.

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LGTM

@Ailrun Ailrun merged commit 3164d9d into main May 28, 2024
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@Ailrun Ailrun deleted the feature/logrel-soundness branch May 28, 2024 18:29
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2 participants