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Predicate logic of sub-C-sets #471

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epatters opened this issue Jul 30, 2021 · 1 comment
Open

Predicate logic of sub-C-sets #471

epatters opened this issue Jul 30, 2021 · 1 comment

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@epatters
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PR #467 implemented the bi-Heyting algebra of sub-C-sets, which is the propositional fragment of the logic of a presheaf topos. We should upgrade it to predicate logic, which would involve implementing

  • the pullback functor f^*: Sub(Y) -> Sub(X) induced by a C-set homomorphism f: X -> Y
  • the left and right adjoints to this functor, which are generalized forms of existential and universal quantification
@kris-brown
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The pullback part of this is called hom_inv in #605

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