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Agda.Builtin.Bool.html | 2023-09-29 17:40 | 3.1K | ||
Agda.Builtin.Equalit..> | 2023-09-29 17:40 | 2.6K | ||
Agda.Primitive.html | 2023-09-29 17:40 | 5.4K | ||
Agda.css | 2023-09-29 17:40 | 1.8K | ||
Agda.Builtin.Char.html | 2023-09-29 17:40 | 4.0K | ||
Agda.Builtin.List.html | 2023-09-29 17:40 | 4.7K | ||
Agda.Builtin.Maybe.html | 2023-09-29 17:40 | 2.3K | ||
Agda.Builtin.Nat.html | 2023-09-29 17:40 | 23K | ||
Agda.Builtin.Sigma.html | 2023-09-29 17:40 | 3.4K | ||
Agda.Builtin.Unit.html | 2023-09-29 17:40 | 1.7K | ||
Agda.Builtin.String...> | 2023-09-29 17:40 | 10K | ||
Logical-equivalence...> | 2023-09-29 17:40 | 50K | ||
Prelude.html | 2023-09-29 17:40 | 123K | ||
Equality.html | 2023-09-29 17:40 | 1.0M | ||
Equality.Proposition..> | 2023-09-29 17:40 | 19K | ||
Surjection.html | 2023-09-29 17:40 | 88K | ||
Nat.html | 2023-09-29 17:40 | 476K | ||
H-level.html | 2023-09-29 17:40 | 53K | ||
Equality.Decidable-U..> | 2023-09-29 17:40 | 76K | ||
Equality.Decision-pr..> | 2023-09-29 17:40 | 97K | ||
Injection.html | 2023-09-29 17:40 | 18K | ||
Bijection.html | 2023-09-29 17:40 | 226K | ||
Preimage.html | 2023-09-29 17:40 | 59K | ||
Equivalence.Contract..> | 2023-09-29 17:40 | 128K | ||
Equivalence.Half-adj..> | 2023-09-29 17:40 | 133K | ||
Extensionality.html | 2023-09-29 17:40 | 189K | ||
H-level.Closure.html | 2023-09-29 17:40 | 406K | ||
Erased.Basics.html | 2023-09-29 17:40 | 14K | ||
Agda.Builtin.Int.html | 2023-09-29 17:40 | 3.4K | ||
Equivalence.Erased.C..> | 2023-09-29 17:40 | 70K | ||
Integer.Basics.html | 2023-09-29 17:40 | 40K | ||
Groupoid.html | 2023-09-29 17:40 | 189K | ||
Equivalence.html | 2023-09-29 17:40 | 502K | ||
Equivalence.Erased.B..> | 2023-09-29 17:40 | 97K | ||
Excluded-middle.html | 2023-09-29 17:40 | 6.6K | ||
Embedding.html | 2023-09-29 17:40 | 82K | ||
Function-universe.html | 2023-09-29 17:40 | 2.5M | ||
Bool.html | 2023-09-29 17:40 | 74K | ||
Univalence-axiom.html | 2023-09-29 17:40 | 706K | ||
Agda.Builtin.Cubical..> | 2023-09-29 17:40 | 3.2K | ||
Agda.Builtin.Cubical..> | 2023-09-29 17:40 | 5.1K | ||
Agda.Primitive.Cubic..> | 2023-09-29 17:40 | 24K | ||
Equality.Instances-r..> | 2023-09-29 17:40 | 120K | ||
Equality.Path.html | 2023-09-29 17:40 | 342K | ||
Equality.Path.Isomor..> | 2023-09-29 17:40 | 259K | ||
Equality.Proposition..> | 2023-09-29 17:40 | 10K | ||
Category.html | 2023-09-29 17:40 | 799K | ||
Functor.html | 2023-09-29 17:40 | 331K | ||
Partiality-algebra.html | 2023-09-29 17:40 | 105K | ||
Partiality-algebra.E..> | 2023-09-29 17:40 | 244K | ||
Accessibility.html | 2023-09-29 17:40 | 94K | ||
Monad.Raw.html | 2023-09-29 17:40 | 18K | ||
Monad.html | 2023-09-29 17:40 | 115K | ||
Erased.Box-cong-axio..> | 2023-09-29 17:40 | 7.0K | ||
Equivalence-relation..> | 2023-09-29 17:40 | 82K | ||
Level.html | 2023-09-29 17:40 | 5.6K | ||
Data.Empty.html | 2023-09-29 17:40 | 4.1K | ||
Data.Irrelevant.html | 2023-09-29 17:40 | 12K | ||
Data.Unit.Base.html | 2023-09-29 17:40 | 1.9K | ||
Function.Base.html | 2023-09-29 17:40 | 75K | ||
Data.Bool.Base.html | 2023-09-29 17:40 | 13K | ||
Data.Empty.Irrelevan..> | 2023-09-29 17:40 | 2.2K | ||
Data.Sum.Base.html | 2023-09-29 17:40 | 26K | ||
Data.Product.Base.html | 2023-09-29 17:40 | 87K | ||
Data.These.Base.html | 2023-09-29 17:40 | 36K | ||
Relation.Nullary.Neg..> | 2023-09-29 17:40 | 21K | ||
Relation.Nullary.Ref..> | 2023-09-29 17:40 | 34K | ||
Relation.Nullary.Dec..> | 2023-09-29 17:40 | 56K | ||
Data.Maybe.Base.html | 2023-09-29 17:40 | 37K | ||
Relation.Binary.Core..> | 2023-09-29 17:40 | 19K | ||
Relation.Binary.Defi..> | 2023-09-29 17:40 | 91K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 13K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 45K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 11K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 10K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 13K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 2.1K | ||
Relation.Nullary.html | 2023-09-29 17:40 | 6.5K | ||
Relation.Unary.html | 2023-09-29 17:40 | 91K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 101K | ||
Data.Unit.Polymorphi..> | 2023-09-29 17:40 | 3.3K | ||
Effect.Choice.html | 2023-09-29 17:40 | 4.4K | ||
Effect.Empty.html | 2023-09-29 17:40 | 3.4K | ||
Effect.Functor.html | 2023-09-29 17:40 | 13K | ||
Relation.Binary.Stru..> | 2023-09-29 17:40 | 62K | ||
Effect.Applicative.html | 2023-09-29 17:40 | 36K | ||
Effect.Monad.html | 2023-09-29 17:40 | 32K | ||
Relation.Nullary.Neg..> | 2023-09-29 17:40 | 38K | ||
Algebra.Core.html | 2023-09-29 17:40 | 3.3K | ||
Relation.Binary.Bund..> | 2023-09-29 17:40 | 66K | ||
Relation.Binary.html | 2023-09-29 17:40 | 1.9K | ||
Algebra.Definitions...> | 2023-09-29 17:40 | 118K | ||
Algebra.Consequences..> | 2023-09-29 17:40 | 7.1K | ||
Function.Definitions..> | 2023-09-29 17:40 | 21K | ||
Relation.Binary.Reas..> | 2023-09-29 17:40 | 20K | ||
Relation.Binary.Reas..> | 2023-09-29 17:40 | 7.4K | ||
Algebra.Consequences..> | 2023-09-29 17:40 | 165K | ||
Algebra.Structures.html | 2023-09-29 17:40 | 210K | ||
Algebra.Structures.B..> | 2023-09-29 17:40 | 64K | ||
Algebra.Bundles.Raw...> | 2023-09-29 17:40 | 54K | ||
Algebra.Bundles.html | 2023-09-29 17:40 | 255K | ||
Algebra.html | 2023-09-29 17:40 | 1.9K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 18K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 5.5K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 104K | ||
Function.Equality.html | 2023-09-29 17:40 | 40K | ||
Relation.Binary.Inde..> | 2023-09-29 17:40 | 15K | ||
Function.Consequence..> | 2023-09-29 17:40 | 34K | ||
Function.Consequence..> | 2023-09-29 17:40 | 22K | ||
Function.Structures...> | 2023-09-29 17:40 | 43K | ||
Function.Bundles.html | 2023-09-29 17:40 | 110K | ||
Relation.Nullary.Dec..> | 2023-09-29 17:40 | 32K | ||
Axiom.Extensionality..> | 2023-09-29 17:40 | 21K | ||
Axiom.UniquenessOfId..> | 2023-09-29 17:40 | 23K | ||
Data.Sign.Base.html | 2023-09-29 17:40 | 8.9K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 53K | ||
Data.Parity.Base.html | 2023-09-29 17:40 | 19K | ||
Data.Nat.Base.html | 2023-09-29 17:40 | 83K | ||
Data.Fin.Base.html | 2023-09-29 17:40 | 117K | ||
Data.List.Base.html | 2023-09-29 17:40 | 194K | ||
Data.Vec.Base.html | 2023-09-29 17:40 | 153K | ||
Data.Vec.N-ary.html | 2023-09-29 17:40 | 92K | ||
Relation.Binary.Refl..> | 2023-09-29 17:40 | 37K | ||
Algebra.Properties.G..> | 2023-09-29 17:40 | 52K | ||
Algebra.Properties.A..> | 2023-09-29 17:40 | 12K | ||
Function.Core.html | 2023-09-29 17:40 | 5.0K | ||
Relation.Binary.Morp..> | 2023-09-29 17:40 | 6.3K | ||
Algebra.Morphism.Def..> | 2023-09-29 17:40 | 11K | ||
Relation.Binary.Morp..> | 2023-09-29 17:40 | 38K | ||
Algebra.Morphism.Str..> | 2023-09-29 17:40 | 177K | ||
Algebra.Morphism.html | 2023-09-29 17:40 | 47K | ||
Algebra.Properties.R..> | 2023-09-29 17:40 | 41K | ||
Algebra.Solver.Ring...> | 2023-09-29 17:40 | 43K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 72K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 9.8K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 69K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 34K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 17K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 17K | ||
Algebra.Consequences..> | 2023-09-29 17:40 | 39K | ||
Algebra.Lattice.Stru..> | 2023-09-29 17:40 | 41K | ||
Relation.Binary.Reas..> | 2023-09-29 17:40 | 45K | ||
Relation.Binary.Reas..> | 2023-09-29 17:40 | 3.5K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 109K | ||
Algebra.Lattice.Bund..> | 2023-09-29 17:40 | 7.2K | ||
Algebra.Lattice.Bund..> | 2023-09-29 17:40 | 51K | ||
Algebra.Lattice.Cons..> | 2023-09-29 17:40 | 6.3K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 18K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 57K | ||
Algebra.Lattice.Cons..> | 2023-09-29 17:40 | 4.5K | ||
Algebra.Lattice.Cons..> | 2023-09-29 17:40 | 18K | ||
Data.Unit.Properties..> | 2023-09-29 17:40 | 16K | ||
Data.Unit.html | 2023-09-29 17:40 | 1.7K | ||
Relation.Binary.Reas..> | 2023-09-29 17:40 | 69K | ||
Algebra.Properties.S..> | 2023-09-29 17:40 | 8.2K | ||
Algebra.Properties.C..> | 2023-09-29 17:40 | 112K | ||
Function.Metric.Core..> | 2023-09-29 17:40 | 2.8K | ||
Function.Metric.Defi..> | 2023-09-29 17:40 | 35K | ||
Function.Metric.Stru..> | 2023-09-29 17:40 | 22K | ||
Function.Metric.Bund..> | 2023-09-29 17:40 | 37K | ||
Function.Metric.Nat...> | 2023-09-29 17:40 | 2.6K | ||
Function.Metric.Nat...> | 2023-09-29 17:40 | 17K | ||
Function.Metric.Nat...> | 2023-09-29 17:40 | 18K | ||
Function.Metric.Nat...> | 2023-09-29 17:40 | 28K | ||
Function.Metric.Nat...> | 2023-09-29 17:40 | 1.8K | ||
Function.Equivalence..> | 2023-09-29 17:40 | 40K | ||
Induction.html | 2023-09-29 17:40 | 17K | ||
Induction.WellFounde..> | 2023-09-29 17:40 | 87K | ||
Relation.Binary.Latt..> | 2023-09-29 17:40 | 12K | ||
Relation.Binary.Latt..> | 2023-09-29 17:40 | 61K | ||
Relation.Binary.Latt..> | 2023-09-29 17:40 | 68K | ||
Relation.Binary.Latt..> | 2023-09-29 17:40 | 1.7K | ||
Algebra.Lattice.Prop..> | 2023-09-29 17:40 | 11K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 77K | ||
Algebra.Lattice.Prop..> | 2023-09-29 17:40 | 42K | ||
Algebra.Lattice.Prop..> | 2023-09-29 17:40 | 6.0K | ||
Algebra.Lattice.Prop..> | 2023-09-29 17:40 | 293K | ||
Data.Bool.Properties..> | 2023-09-29 17:40 | 204K | ||
Data.Nat.Properties...> | 2023-09-29 17:40 | 908K | ||
Algebra.Definitions...> | 2023-09-29 17:40 | 16K | ||
Algebra.Definitions...> | 2023-09-29 17:40 | 11K | ||
Data.Vec.Functional...> | 2023-09-29 17:40 | 69K | ||
Algebra.Definitions...> | 2023-09-29 17:40 | 21K | ||
Algebra.Properties.M..> | 2023-09-29 17:40 | 30K | ||
Data.Nat.html | 2023-09-29 17:40 | 5.7K | ||
Algebra.Properties.S..> | 2023-09-29 17:40 | 38K | ||
Algebra.Solver.Ring...> | 2023-09-29 17:40 | 96K | ||
Algebra.Solver.Ring...> | 2023-09-29 17:40 | 4.3K | ||
Algebra.Solver.Ring...> | 2023-09-29 17:40 | 294K | ||
Data.Nat.Solver.html | 2023-09-29 17:40 | 2.4K | ||
Data.List.Membership..> | 2023-09-29 17:40 | 19K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 38K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 2.8K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 10K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 83K | ||
Algebra.Construct.Li..> | 2023-09-29 17:40 | 83K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 13K | ||
Algebra.Construct.Na..> | 2023-09-29 17:40 | 7.3K | ||
Data.List.Extrema.Co..> | 2023-09-29 17:40 | 60K | ||
Data.Sum.Properties...> | 2023-09-29 17:40 | 60K | ||
Data.Product.Propert..> | 2023-09-29 17:40 | 55K | ||
Data.Unit.Polymorphi..> | 2023-09-29 17:40 | 23K | ||
Data.Unit.Polymorphi..> | 2023-09-29 17:40 | 1.9K | ||
Function.Construct.I..> | 2023-09-29 17:40 | 45K | ||
Function.Construct.C..> | 2023-09-29 17:40 | 115K | ||
Function.Construct.S..> | 2023-09-29 17:40 | 72K | ||
Data.Empty.Polymorph..> | 2023-09-29 17:40 | 3.8K | ||
Function.Properties...> | 2023-09-29 17:40 | 28K | ||
Data.Sum.Algebra.html | 2023-09-29 17:40 | 30K | ||
Data.Fin.Patterns.html | 2023-09-29 17:40 | 4.3K | ||
Data.Product.Algebra..> | 2023-09-29 17:40 | 52K | ||
Relation.Unary.Prope..> | 2023-09-29 17:40 | 113K | ||
Data.Fin.Properties...> | 2023-09-29 17:40 | 540K | ||
Data.Nat.DivMod.Core..> | 2023-09-29 17:40 | 222K | ||
Data.Nat.Divisibilit..> | 2023-09-29 17:40 | 15K | ||
Data.Nat.Induction.html | 2023-09-29 17:40 | 25K | ||
Data.Nat.DivMod.html | 2023-09-29 17:40 | 363K | ||
Data.List.Membership..> | 2023-09-29 17:40 | 9.3K | ||
Data.Nat.Divisibilit..> | 2023-09-29 17:40 | 158K | ||
Data.Product.Relatio..> | 2023-09-29 17:40 | 5.4K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 110K | ||
Data.List.Properties..> | 2023-09-29 17:40 | 618K | ||
Function.Injection.html | 2023-09-29 17:40 | 23K | ||
Function.LeftInverse..> | 2023-09-29 17:40 | 42K | ||
Function.Bijection.html | 2023-09-29 17:40 | 33K | ||
Function.Surjection...> | 2023-09-29 17:40 | 33K | ||
Function.Inverse.html | 2023-09-29 17:40 | 60K | ||
Function.Properties...> | 2023-09-29 17:40 | 7.7K | ||
Function.Properties...> | 2023-09-29 17:40 | 13K | ||
Function.Properties...> | 2023-09-29 17:40 | 20K | ||
Function.Related.Pro..> | 2023-09-29 17:40 | 126K | ||
Function.Related.html | 2023-09-29 17:40 | 163K | ||
Data.Product.Relatio..> | 2023-09-29 17:40 | 113K | ||
Data.Product.Functio..> | 2023-09-29 17:40 | 55K | ||
Function.HalfAdjoint..> | 2023-09-29 17:40 | 46K | ||
Relation.Nullary.Ind..> | 2023-09-29 17:40 | 3.2K | ||
Data.Product.Functio..> | 2023-09-29 17:40 | 36K | ||
Data.Sum.Relation.Bi..> | 2023-09-29 17:40 | 111K | ||
Data.Sum.Function.Se..> | 2023-09-29 17:40 | 56K | ||
Data.Sum.Function.Pr..> | 2023-09-29 17:40 | 34K | ||
Function.Related.Typ..> | 2023-09-29 17:40 | 185K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 6.3K | ||
Data.Product.Functio..> | 2023-09-29 17:40 | 159K | ||
Relation.Binary.Cons..> | 2023-09-29 17:40 | 78K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 36K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 5.7K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 26K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 37K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 127K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 48K | ||
Data.List.Effectful...> | 2023-09-29 17:40 | 142K | ||
Data.Maybe.Relation...> | 2023-09-29 17:40 | 31K | ||
Data.List.Membership..> | 2023-09-29 17:40 | 36K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 452K | ||
Data.List.Membership..> | 2023-09-29 17:40 | 227K | ||
Data.List.Relation.B..> | 2023-09-29 17:40 | 6.3K | ||
Relation.Binary.Prop..> | 2023-09-29 17:40 | 15K | ||
Data.List.Membership..> | 2023-09-29 17:40 | 202K | ||
Data.List.Extrema.html | 2023-09-29 17:40 | 132K | ||
Data.Maybe.Relation...> | 2023-09-29 17:40 | 54K | ||
Data.List.Relation.U..> | 2023-09-29 17:40 | 411K | ||
Data.Vec.Bounded.Bas..> | 2023-09-29 17:40 | 68K | ||
Data.Vec.html | 2023-09-29 17:40 | 12K | ||
Nat.Solver.html | 2023-09-29 17:40 | 59K | ||
List.html | 2023-09-29 17:40 | 265K | ||
For-iterated-equalit..> | 2023-09-29 17:40 | 337K | ||
Equivalence.List.html | 2023-09-29 17:40 | 355K | ||
Pullback.html | 2023-09-29 17:40 | 102K | ||
Equivalence.Path-spl..> | 2023-09-29 17:40 | 413K | ||
Vec.Dependent.html | 2023-09-29 17:40 | 47K | ||
Modality.Basics.html | 2023-09-29 17:40 | 2.1M | ||
Erased.Level-1.html | 2023-09-29 17:40 | 1.0M | ||
Agda.Builtin.Word.html | 2023-09-29 17:40 | 2.0K | ||
Equivalence.Erased.C..> | 2023-09-29 17:40 | 151K | ||
Agda.Builtin.Float.html | 2023-09-29 17:40 | 32K | ||
Agda.Builtin.Reflect..> | 2023-09-29 17:40 | 160K | ||
Maybe.html | 2023-09-29 17:40 | 52K | ||
Agda.Builtin.Strict...> | 2023-09-29 17:40 | 4.8K | ||
TC-monad.html | 2023-09-29 17:40 | 170K | ||
Tactic.Sigma-cong.html | 2023-09-29 17:40 | 158K | ||
Equivalence.Erased.html | 2023-09-29 17:40 | 689K | ||
Erased.Level-2.html | 2023-09-29 17:40 | 298K | ||
Modality.Identity.html | 2023-09-29 17:40 | 17K | ||
Embedding.Erased.html | 2023-09-29 17:40 | 67K | ||
Double-negation.html | 2023-09-29 17:40 | 96K | ||
Modality.Left-exact...> | 2023-09-29 17:40 | 238K | ||
Modality.Box-cong.html | 2023-09-29 17:40 | 58K | ||
Modality.Has-choice...> | 2023-09-29 17:40 | 861K | ||
Modality.Commutes-wi..> | 2023-09-29 17:40 | 189K | ||
Modality.Very-modal...> | 2023-09-29 17:40 | 250K | ||
Modality.Empty-modal..> | 2023-09-29 17:40 | 150K | ||
Erased.Stability.html | 2023-09-29 17:40 | 1.0M | ||
Equality.Tactic.html | 2023-09-29 17:40 | 129K | ||
Pointed-type.html | 2023-09-29 17:40 | 197K | ||
Equality.Groupoid.html | 2023-09-29 17:40 | 100K | ||
H-level.Truncation.C..> | 2023-09-29 17:40 | 583K | ||
Erased.html | 2023-09-29 17:40 | 6.1K | ||
Erased.Cubical.html | 2023-09-29 17:40 | 53K | ||
Equivalence.Erased.C..> | 2023-09-29 17:40 | 3.4K | ||
H-level.Truncation.P..> | 2023-09-29 17:40 | 157K | ||
H-level.Truncation.P..> | 2023-09-29 17:40 | 246K | ||
Colimit.Sequential.V..> | 2023-09-29 17:40 | 179K | ||
H-level.Truncation.P..> | 2023-09-29 17:40 | 275K | ||
H-level.Truncation.P..> | 2023-09-29 17:40 | 418K | ||
Dec.html | 2023-09-29 17:40 | 12K | ||
H-level.Truncation.P..> | 2023-09-29 17:40 | 557K | ||
Partiality-algebra.P..> | 2023-09-29 17:40 | 114K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 78K | ||
Partiality-algebra.M..> | 2023-09-29 17:40 | 53K | ||
Partiality-algebra.O..> | 2023-09-29 17:40 | 48K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 21K | ||
Agda.Builtin.Cubical..> | 2023-09-29 17:40 | 53K | ||
Agda.Builtin.Cubical..> | 2023-09-29 17:40 | 53K | ||
Agda.Builtin.Cubical..> | 2023-09-29 17:40 | 9.7K | ||
Equality.Path.Isomor..> | 2023-09-29 17:40 | 6.2K | ||
Equality.Path.Unival..> | 2023-09-29 17:40 | 66K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 79K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 336K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 25K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 214K | ||
Structure-identity-p..> | 2023-09-29 17:40 | 116K | ||
Partiality-algebra.C..> | 2023-09-29 17:40 | 212K | ||
Adjunction.html | 2023-09-29 17:40 | 65K | ||
Partiality-monad.Ind..> | 2023-09-29 17:40 | 129K | ||
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------------------------------------------------------------------------ -- Code related to the paper "Partiality, Revisited: The Partiality -- Monad as a Quotient Inductive-Inductive Type" -- -- Thorsten Altenkirch, Nils Anders Danielsson and Nicolai Kraus ------------------------------------------------------------------------ -- Note that this is a version of the code that does not quite match -- the description in the paper. Some key changes (there might be -- others): -- -- * The partiality monad is not postulated, but defined as a QIIT -- (Agda's cubical features are used). The types and eliminators are -- marked as "abstract", so the eliminators do not compute. -- -- * Rewrite rules are no longer used. Instead the propositional -- truncation and set quotient operators are defined as -- (non-abstract) QITs. -- -- * The set quotient operator that is used can be applied to -- arbitrary binary relations, not only propositional ones. {-# OPTIONS --cubical --sized-types #-} module README where -- Note that our definition of the partiality monad and some of the -- results are heavily inspired by the section on Cauchy reals in the -- HoTT book (first edition). -- The partiality algebra code uses ideas and concepts from "Inductive -- types in homotopy type theory" by Awodey, Gambino and Sojakova, -- "Inductive Types in Homotopy Type Theory" by Sojakova, "Quotient -- inductive-inductive types" by Altenkirch, Capriotti, Dijkstra and -- Nordvall Forsberg, and Gabe Dijkstra's PhD thesis. ------------------------------------------------------------------------ -- Pointers to results from the paper -- In order to more easily find code corresponding to results from the -- paper, see the following module. Note that some of the code -- referenced below is not discussed at all in the paper. import README.Pointers-to-results-from-the-paper ------------------------------------------------------------------------ -- Partiality algebras -- Partiality algebras. import Partiality-algebra -- Some partiality algebra properties. import Partiality-algebra.Properties -- Partiality algebra categories. import Partiality-algebra.Category -- Eliminators and initiality. import Partiality-algebra.Eliminators -- Monotone functions. import Partiality-algebra.Monotone -- ω-continuous functions. import Partiality-algebra.Omega-continuous -- Strict ω-continuous functions. import Partiality-algebra.Strict-omega-continuous -- Fixpoint combinators. import Partiality-algebra.Fixpoints -- Pi with partiality algebra families as codomains. import Partiality-algebra.Pi ------------------------------------------------------------------------ -- The partiality monad -- A quotient inductive-inductive definition of the partiality monad. import Partiality-monad.Inductive -- Specialised eliminators. import Partiality-monad.Inductive.Eliminators -- A function that runs computations. import Partiality-monad.Inductive.Approximate -- An alternative characterisation of the information ordering, along -- with related results. import Partiality-monad.Inductive.Alternative-order -- Monotone functions. import Partiality-monad.Inductive.Monotone -- ω-continuous functions. import Partiality-monad.Inductive.Omega-continuous -- The partiality monad's monad instance. import Partiality-monad.Inductive.Monad -- The partiality monad's monad instance, defined via an adjunction. import Partiality-monad.Inductive.Monad.Adjunction -- Strict ω-continuous functions. import Partiality-monad.Inductive.Strict-omega-continuous -- Fixpoint combinators. import Partiality-monad.Inductive.Fixpoints ------------------------------------------------------------------------ -- Some examples -- A function that, given a stream, tries to find an element -- satisfying a predicate. import Search -- Examples involving simple λ-calculi. import README.Lambda ------------------------------------------------------------------------ -- An alternative definition of the delay monad -- The delay monad, defined using increasing sequences of potential -- values. import Delay-monad.Alternative -- Various properties. import Delay-monad.Alternative.Properties -- Theorems relating the coinductive definition of the delay -- monad to the alternative one and to another type. import Delay-monad.Alternative.Equivalence -- Termination predicates. import Delay-monad.Alternative.Termination -- Information orderings. import Delay-monad.Alternative.Partial-order -- Weak bisimilarity. import Delay-monad.Alternative.Weak-bisimilarity -- Two eliminators for Delay-monad.Alternative.Delay (A / R). import Delay-monad.Alternative.Eliminators ------------------------------------------------------------------------ -- The delay monad quotiented by weak bisimilarity -- The delay monad quotiented by weak bisimilarity. import Partiality-monad.Coinductive -- A partial order. import Partiality-monad.Coinductive.Partial-order -- An alternative definition of the partiality monad: a variant of the -- delay monad quotiented by a notion of weak bisimilarity. import Partiality-monad.Coinductive.Alternative ------------------------------------------------------------------------ -- A proof of equivalence -- The partiality monads in Partiality-monad.Inductive and -- Partiality-monad.Coinductive are pointwise equivalent, for sets, -- assuming extensionality and countable choice. import Partiality-monad.Equivalence ------------------------------------------------------------------------ -- ω-cpos -- Pointed and non-pointed ω-cpos. import Omega-cpo -- The code in the following three modules is based on a suggestion -- from Paolo Capriotti. -- A quotient inductive-inductive definition of the lifting -- construction on ω-cpos. import Lifting -- An alternative but equivalent definition of the partiality monad -- (but only for sets), based on the lifting construction in Lifting. import Lifting.Partiality-monad