Mercurial > hg > Members > kono > Proof > category
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Tue, 27 Apr 2021 08:52:39 +0900 |
parents | f1f625c3866c |
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Category Exercise on Higher order categorical logic ==== These are set of Agda exercise for Introduction to Higher order categorical logic. https://www.amazon.co.jp/gp/product/0521356539 Based on Category Library (https://github.com/shinji-kono/category-agda) CCC.agda Cartesian closed category p.52 and Topos p.139 CCCGraph.agda CCC generated from Graph (iconmplete) p.55 CCCSets.agda CCC on Sets and Topos on Sets (not on the book) CCChom.agda CCC as Hom Isomorphism p.54 CatExponetial.agda Functor Cattegory p.8 Comma.agda Comma category p.27 Comma1.agda Comma category p.27 HomReasoning.agda Reasoning utilities Polynominal.agda Polynominal Category and functional completeness S.agda Simple example on Sets Completeness SetsCompleteness.agda Completeness of Sets ToposEx.agda Topos Exercise (incomplete) p.141 ToposIL.agda Topos Internal Language (incomplete) p.143 ToposSub.agda Topos Subobject classifier (incomplete) adj-monad.agda Adjunction implies Monad p.28 applicative.agda Applicative Functor bi-ccc.agda Bi-cartesian closed category p.65 cat-utility.agda various definitions category-ex.agda simple ex code-data.agda simple ex cokleisli.agda kleisli category on coMonad comparison-em.agda Elienburg Moore Comparison comparison-functor.agda kleisli Comparison em-category.agda Elienburg Moore Resolution epi.agda epi example equalizer.agda Equalizer example p.21 free-monoid.agda free monoid freyd.agda Adjoin Functor Theorem p.26 freyd1.agda " freyd2.agda " graph.agda Category generated by a Graph idF.agda identit functor kleisli.agda Kleisli Category level-ex.agda limit-to.agda Example related to Limits p.24 list-level.agda list-monoid-cat.agda list-nat.agda list-nat0.agda list.agda maybe-monad.agda maybeCat.agda monad→monoidal.agda Monad on Sets is a monoidal functor monoid-monad.agda Monad with Monoid p.28 monoidal.agda Monoidal Functor negnat.agda pullback.agda Pullback p.24 record-ex.agda stdalone-kleisli.agda system-f.agda system-t.agda universal-mapping.agda Universal mapping p.13 yoneda.agda Yoneda Functor p.11