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Context-extension for dependent-types (unif_rule BUG?) #25

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@1337777 1337777 commented Nov 26, 2024

This file will compare a usual traditional context-extension
(categories with families, etc) versus a more general and clearer
direct computational (strictified via Lambdapi rewrite rules) implementation
as required for a proof assistant for categories/sheaves/schemes

1337777 and others added 2 commits November 26, 2024 18:35
This file will compare a usual traditional context-extension 
  (categories with families, etc) versus a more general and clearer 
  direct computational (strictified via Lambdapi rewrite rules) implementation 
  as required for a proof assistant for categories/sheaves/schemes
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1337777 commented Dec 10, 2024

This pull requests also exposes a potential bug in Lambdapi unif_rule ? The minimal example scenario is simple:

for any injective symbol Context_cat and for a rule (Context_cat (Terminal_catd $A)) ↪ $A then the following attempt to temporarily bypass injectivity does not work and Lambdapi raises an error when trying to register the rule, but it should work?

//ERROR:
unif_rule Context_cat $B ≡ (Context_cat (Terminal_catd (Context_cat $X))) ↪ [ $B ≡ $X];

@1337777 1337777 changed the title Preliminary: alternative context-extension for dependent-types Context-extension for dependent-types (unif_rule BUG?) Dec 10, 2024
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Hi. Could you please open an issue with a minimal example of what you would like to do and why?

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