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On 01/12/2024 17:27, Mild Shock wrote:
Well then Pierce Law is not povable underThat my TNT (I am now dubbing it "triple-negation translation") instead works, and where is some piece of theory to attach to it?
the usual Glivenko translation in affine logic.
So what? Whats your point?
I found only one book that discusses GlivenkIndeed there is a lot of not much around. But Girard talks about not having and not wanting a separate semantics, it's all purely syntactic. But I still have only a vague intuition about what that means.
style translations for substructural logics:
Chatpter 8: Glivenko Theorems
Residuated Lattices: an algebraic glimpse at substructural logics
https://www.researchgate.net/publication/235626321
<https://girard.perso.math.cnrs.fr/0.pdf>
Anyway, pretty much along that line, I am thinking: could I prove in Prolog the meta-properties I have proved in Coq (so far)? Meta-programming and program-analysis features of Prolog are certainly not lacking...
-Julio
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