○○ as ○○
○○を○○と見なすという見方
カリー=ハワード対応
や
Propositions as Types
は○○ as ○○が多く含まれている
Propositions as some Types
Sets as Types
Types as Sets
Algebras as Types
Coalgebras as Types
Categories as Types
Logical Relations as Types
[Jonathan2020]
カリー=ハワード対応
formulae as types
proof as programs
proofs as terms
(PAT)
Propositions as Types
ハイパードクトリン
Logical Relation as Category
Homotopy Type Theory(HoTT)
Types as Spaces
メモ
集合論・圏論 vs. 型理論 - 檜山正幸のキマイラ飼育記 (はてなBlog)
[Jonathan2020]
【2010.08599】 Logical Relations as Types: Proof-Relevant Parametricity for Program Modules
『Introduction to Homotopy Type Theory』