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| Name | Last modified | Size | Description |
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| Parent Directory | - | ||
| Vec.Dependent.html | 2024-08-26 19:03 | 47K | |
| Univalence-axiom.html | 2024-08-26 19:03 | 706K | |
| Surjection.html | 2024-08-26 19:03 | 88K | |
| Relation.Unary.html | 2024-08-26 19:03 | 93K | |
| Relation.Unary.Prope..> | 2024-08-26 19:03 | 114K | |
| Relation.Unary.Predi..> | 2024-08-26 19:03 | 44K | |
| Relation.Nullary.html | 2024-08-26 19:03 | 6.3K | |
| Relation.Nullary.Ref..> | 2024-08-26 19:03 | 42K | |
| Relation.Nullary.Rec..> | 2024-08-26 19:03 | 18K | |
| Relation.Nullary.Neg..> | 2024-08-26 19:03 | 38K | |
| Relation.Nullary.Neg..> | 2024-08-26 19:03 | 20K | |
| Relation.Nullary.Ind..> | 2024-08-26 19:03 | 3.2K | |
| Relation.Nullary.Dec..> | 2024-08-26 19:03 | 34K | |
| Relation.Nullary.Dec..> | 2024-08-26 19:03 | 67K | |
| Relation.Binary.html | 2024-08-26 19:03 | 2.1K | |
| Relation.Binary.Stru..> | 2024-08-26 19:03 | 64K | |
| Relation.Binary.Stru..> | 2024-08-26 19:03 | 9.5K | |
| Relation.Binary.Refl..> | 2024-08-26 19:03 | 37K | |
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| Relation.Binary.Prop..> | 2024-08-26 19:03 | 109K | |
| Relation.Binary.Prop..> | 2024-08-26 19:03 | 35K | |
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| Relation.Binary.Prop..> | 2024-08-26 19:03 | 34K | |
| Relation.Binary.Prop..> | 2024-08-26 19:03 | 16K | |
| Relation.Binary.Morp..> | 2024-08-26 19:03 | 38K | |
| Relation.Binary.Morp..> | 2024-08-26 19:03 | 6.3K | |
| Relation.Binary.Latt..> | 2024-08-26 19:03 | 1.7K | |
| Relation.Binary.Latt..> | 2024-08-26 19:03 | 62K | |
| Relation.Binary.Latt..> | 2024-08-26 19:03 | 12K | |
| Relation.Binary.Latt..> | 2024-08-26 19:03 | 69K | |
| Relation.Binary.Inde..> | 2024-08-26 19:03 | 2.1K | |
| Relation.Binary.Inde..> | 2024-08-26 19:03 | 13K | |
| Relation.Binary.Inde..> | 2024-08-26 19:03 | 9.8K | |
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| Relation.Binary.Inde..> | 2024-08-26 19:03 | 16K | |
| Relation.Binary.Inde..> | 2024-08-26 19:03 | 11K | |
| Relation.Binary.Defi..> | 2024-08-26 19:03 | 98K | |
| Relation.Binary.Core..> | 2024-08-26 19:03 | 19K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 87K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 73K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 80K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 81K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 77K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 49K | |
| Relation.Binary.Cons..> | 2024-08-26 19:03 | 101K | |
| Relation.Binary.Bund..> | 2024-08-26 19:03 | 86K | |
| Pullback.html | 2024-08-26 19:03 | 102K | |
| Prelude.html | 2024-08-26 19:03 | 123K | |
| Prelude.Size.html | 2024-08-26 19:03 | 3.1K | |
| Preimage.html | 2024-08-26 19:03 | 59K | |
| Nat.html | 2024-08-26 19:03 | 476K | |
| Nat.Solver.html | 2024-08-26 19:03 | 59K | |
| Monad.html | 2024-08-26 19:03 | 115K | |
| Monad.Raw.html | 2024-08-26 19:03 | 18K | |
| Modality.Basics.html | 2024-08-26 19:03 | 2.1M | |
| Logical-equivalence...> | 2024-08-26 19:03 | 50K | |
| List.html | 2024-08-26 19:03 | 265K | |
| Level.html | 2024-08-26 19:03 | 5.6K | |
| Integer.Basics.html | 2024-08-26 19:03 | 40K | |
| Injection.html | 2024-08-26 19:03 | 18K | |
| Induction.html | 2024-08-26 19:03 | 14K | |
| Induction.WellFounde..> | 2024-08-26 19:03 | 94K | |
| H-level.html | 2024-08-26 19:03 | 53K | |
| H-level.Closure.html | 2024-08-26 19:03 | 406K | |
| Groupoid.html | 2024-08-26 19:03 | 189K | |
| Function.Structures...> | 2024-08-26 19:03 | 47K | |
| Function.Related.Typ..> | 2024-08-26 19:03 | 152K | |
| Function.Related.Pro..> | 2024-08-26 19:03 | 120K | |
| Function.Properties...> | 2024-08-26 19:03 | 23K | |
| Function.Properties...> | 2024-08-26 19:03 | 19K | |
| Function.Properties...> | 2024-08-26 19:03 | 53K | |
| Function.Properties...> | 2024-08-26 19:03 | 46K | |
| Function.Properties...> | 2024-08-26 19:03 | 21K | |
| Function.Metric.Stru..> | 2024-08-26 19:03 | 22K | |
| Function.Metric.Nat...> | 2024-08-26 19:03 | 1.8K | |
| Function.Metric.Nat...> | 2024-08-26 19:03 | 18K | |
| Function.Metric.Nat...> | 2024-08-26 19:03 | 17K | |
| Function.Metric.Nat...> | 2024-08-26 19:03 | 2.6K | |
| Function.Metric.Nat...> | 2024-08-26 19:03 | 28K | |
| Function.Metric.Defi..> | 2024-08-26 19:03 | 35K | |
| Function.Metric.Core..> | 2024-08-26 19:03 | 2.8K | |
| Function.Metric.Bund..> | 2024-08-26 19:03 | 37K | |
| Function.Indexed.Rel..> | 2024-08-26 19:03 | 8.2K | |
| Function.Dependent.B..> | 2024-08-26 19:03 | 9.3K | |
| Function.Definitions..> | 2024-08-26 19:03 | 21K | |
| Function.Core.html | 2024-08-26 19:03 | 5.0K | |
| Function.Construct.S..> | 2024-08-26 19:03 | 72K | |
| Function.Construct.I..> | 2024-08-26 19:03 | 45K | |
| Function.Construct.C..> | 2024-08-26 19:03 | 117K | |
| Function.Consequence..> | 2024-08-26 19:03 | 35K | |
| Function.Consequence..> | 2024-08-26 19:03 | 23K | |
| Function.Consequence..> | 2024-08-26 19:03 | 11K | |
| Function.Bundles.html | 2024-08-26 19:03 | 128K | |
| Function.Base.html | 2024-08-26 19:03 | 76K | |
| Function-universe.html | 2024-08-26 19:03 | 2.6M | |
| For-iterated-equalit..> | 2024-08-26 19:03 | 337K | |
| Extensionality.html | 2024-08-26 19:03 | 189K | |
| Excluded-middle.html | 2024-08-26 19:03 | 6.6K | |
| Erased.Level-1.html | 2024-08-26 19:03 | 1.2M | |
| Erased.Box-cong-axio..> | 2024-08-26 19:03 | 7.0K | |
| Erased.Basics.html | 2024-08-26 19:03 | 14K | |
| Equivalence.html | 2024-08-26 19:03 | 502K | |
| Equivalence.Path-spl..> | 2024-08-26 19:03 | 413K | |
| Equivalence.List.html | 2024-08-26 19:03 | 355K | |
| Equivalence.Half-adj..> | 2024-08-26 19:03 | 133K | |
| Equivalence.Erased.C..> | 2024-08-26 19:03 | 71K | |
| Equivalence.Erased.B..> | 2024-08-26 19:03 | 98K | |
| Equivalence.Contract..> | 2024-08-26 19:03 | 128K | |
| Equivalence-relation..> | 2024-08-26 19:03 | 82K | |
| Equality.html | 2024-08-26 19:03 | 1.0M | |
| Equality.Proposition..> | 2024-08-26 19:03 | 19K | |
| Equality.Path.html | 2024-08-26 19:03 | 342K | |
| Equality.Instances-r..> | 2024-08-26 19:03 | 120K | |
| Equality.Decision-pr..> | 2024-08-26 19:03 | 97K | |
| Equality.Decidable-U..> | 2024-08-26 19:03 | 76K | |
| Embedding.html | 2024-08-26 19:03 | 93K | |
| Effect.Monad.html | 2024-08-26 19:03 | 34K | |
| Effect.Functor.html | 2024-08-26 19:03 | 13K | |
| Effect.Empty.html | 2024-08-26 19:03 | 3.4K | |
| Effect.Choice.html | 2024-08-26 19:03 | 4.4K | |
| Effect.Applicative.html | 2024-08-26 19:03 | 36K | |
| Double-negation.html | 2024-08-26 19:03 | 96K | |
| Delay-monad.html | 2024-08-26 19:03 | 16K | |
| Delay-monad.Terminat..> | 2024-08-26 19:03 | 42K | |
| Delay-monad.Sized.html | 2024-08-26 19:03 | 15K | |
| Delay-monad.Sized.Te..> | 2024-08-26 19:03 | 45K | |
| Delay-monad.Sized.Pa..> | 2024-08-26 19:03 | 172K | |
| Delay-monad.Sized.Mo..> | 2024-08-26 19:03 | 55K | |
| Delay-monad.Sized.Le..> | 2024-08-26 19:03 | 80K | |
| Delay-monad.Sized.Bi..> | 2024-08-26 19:03 | 235K | |
| Delay-monad.Sized.Bi..> | 2024-08-26 19:03 | 211K | |
| Delay-monad.Sized.Bi..> | 2024-08-26 19:03 | 97K | |
| Delay-monad.Sized.Bi..> | 2024-08-26 19:03 | 60K | |
| Delay-monad.Sized.Al..> | 2024-08-26 19:03 | 16K | |
| Delay-monad.Sequenti..> | 2024-08-26 19:03 | 104K | |
| Delay-monad.Quantita..> | 2024-08-26 19:03 | 426K | |
| Delay-monad.Partial-..> | 2024-08-26 19:03 | 158K | |
| Delay-monad.Parallel..> | 2024-08-26 19:03 | 137K | |
| Delay-monad.Monad.html | 2024-08-26 19:03 | 61K | |
| Delay-monad.Least-up..> | 2024-08-26 19:03 | 76K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 246K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 135K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 140K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 195K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 9.0K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 92K | |
| Delay-monad.Bisimila..> | 2024-08-26 19:03 | 57K | |
| Delay-monad.Always.html | 2024-08-26 19:03 | 14K | |
| Data.Vec.html | 2024-08-26 19:03 | 12K | |
| Data.Vec.N-ary.html | 2024-08-26 19:03 | 92K | |
| Data.Vec.Functional...> | 2024-08-26 19:03 | 67K | |
| Data.Vec.Bounded.Bas..> | 2024-08-26 19:03 | 66K | |
| Data.Vec.Base.html | 2024-08-26 19:03 | 150K | |
| Data.Unit.Polymorphi..> | 2024-08-26 19:03 | 1.9K | |
| Data.Unit.Polymorphi..> | 2024-08-26 19:03 | 27K | |
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| Data.Unit.Base.html | 2024-08-26 19:03 | 1.9K | |
| Data.These.Base.html | 2024-08-26 19:03 | 36K | |
| Data.Sum.html | 2024-08-26 19:03 | 12K | |
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| Data.Sum.Properties...> | 2024-08-26 19:03 | 60K | |
| Data.Sum.Function.Se..> | 2024-08-26 19:03 | 71K | |
| Data.Sum.Function.Pr..> | 2024-08-26 19:03 | 44K | |
| Data.Sum.Base.html | 2024-08-26 19:03 | 26K | |
| Data.Sum.Algebra.html | 2024-08-26 19:03 | 32K | |
| Data.Sign.Base.html | 2024-08-26 19:03 | 8.9K | |
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| Data.Product.Base.html | 2024-08-26 19:03 | 87K | |
| Data.Product.Algebra..> | 2024-08-26 19:03 | 52K | |
| Data.Parity.Base.html | 2024-08-26 19:03 | 19K | |
| Data.Nat.Solver.html | 2024-08-26 19:03 | 2.4K | |
| Data.Nat.Properties...> | 2024-08-26 19:03 | 933K | |
| Data.Nat.Induction.html | 2024-08-26 19:03 | 24K | |
| Data.Nat.Generalised..> | 2024-08-26 19:03 | 68K | |
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| Data.Nat.DivMod.html | 2024-08-26 19:03 | 356K | |
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| Data.Nat.Base.html | 2024-08-26 19:03 | 101K | |
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| Data.List.Effectful...> | 2024-08-26 19:03 | 147K | |
| Data.List.Base.html | 2024-08-26 19:03 | 221K | |
| Data.Irrelevant.html | 2024-08-26 19:03 | 12K | |
| Data.Fin.Properties...> | 2024-08-26 19:03 | 547K | |
| Data.Fin.Patterns.html | 2024-08-26 19:03 | 4.3K | |
| Data.Fin.Base.html | 2024-08-26 19:03 | 114K | |
| Data.Empty.html | 2024-08-26 19:03 | 5.0K | |
| Data.Empty.Polymorph..> | 2024-08-26 19:03 | 3.8K | |
| Data.Bool.Properties..> | 2024-08-26 19:03 | 201K | |
| Data.Bool.Base.html | 2024-08-26 19:03 | 13K | |
| Conat.html | 2024-08-26 19:03 | 432K | |
| Bool.html | 2024-08-26 19:03 | 74K | |
| Bijection.html | 2024-08-26 19:03 | 226K | |
| Axiom.UniquenessOfId..> | 2024-08-26 19:03 | 20K | |
| Axiom.Extensionality..> | 2024-08-26 19:03 | 21K | |
| Algebra.html | 2024-08-26 19:03 | 1.9K | |
| Algebra.Structures.html | 2024-08-26 19:03 | 230K | |
| Algebra.Structures.B..> | 2024-08-26 19:03 | 65K | |
| Algebra.Solver.Ring...> | 2024-08-26 19:03 | 294K | |
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------------------------------------------------------------------------
-- Code related to the delay monad
--
-- Nils Anders Danielsson
------------------------------------------------------------------------
{-# OPTIONS --cubical --sized-types #-}
module README where
-- The concept referred to as the delay monad here is the monad
-- presented by Capretta in "General Recursion via Coinductive Types".
------------------------------------------------------------------------
-- The delay monad
-- The delay monad, defined coinductively.
import Delay-monad
-- A type used to index a combined definition of strong and weak
-- bisimilarity and expansion.
import Delay-monad.Bisimilarity.Kind
-- A combined definition of strong and weak bisimilarity and
-- expansion, along with various properties.
import Delay-monad.Bisimilarity
-- Strong bisimilarity for partially defined values, along with a
-- proof showing that this relation is pointwise isomorphic to path
-- equality.
import Delay-monad.Bisimilarity.For-all-sizes
-- A variant of weak bisimilarity that can be used to relate the
-- number of steps in two computations.
import Delay-monad.Quantitative-weak-bisimilarity
-- Termination.
import Delay-monad.Termination
-- Alternative definitions of weak bisimilarity.
import Delay-monad.Bisimilarity.Alternative
-- An observation about weak bisimilarity.
import Delay-monad.Bisimilarity.Observation
-- Some negative results related to weak bisimilarity and expansion.
import Delay-monad.Bisimilarity.Negative
-- An example showing that transitivity-like proofs that are not
-- size-preserving can sometimes be used in a compositional way.
import Delay-monad.Bisimilarity.Transitivity-constructor
-- A partial order.
import Delay-monad.Partial-order
-- Least upper bounds.
import Delay-monad.Least-upper-bound
-- The delay monad is a monad up to strong bisimilarity.
import Delay-monad.Monad
-- The "always true" predicate, □.
import Delay-monad.Always
-- A combinator for running two (independent) computations in
-- sequence.
import Delay-monad.Sequential
-- A combinator for running two computations in parallel.
import Delay-monad.Parallel
------------------------------------------------------------------------
-- A variant of the delay monad with a sized type parameter
-- The delay monad, defined coinductively, with a sized type
-- parameter.
import Delay-monad.Sized
-- A combined definition of strong and weak bisimilarity and
-- expansion, along with various properties.
import Delay-monad.Sized.Bisimilarity
-- Strong bisimilarity for partially defined values, along with a
-- proof showing that this relation is pointwise isomorphic to path
-- equality.
import Delay-monad.Sized.Bisimilarity.For-all-sizes
-- Termination.
import Delay-monad.Sized.Termination
-- Alternative definitions of weak bisimilarity.
import Delay-monad.Sized.Bisimilarity.Alternative
-- Some negative results related to weak bisimilarity and expansion.
import Delay-monad.Sized.Bisimilarity.Negative
-- A partial order.
import Delay-monad.Sized.Partial-order
-- Least upper bounds.
import Delay-monad.Sized.Least-upper-bound
-- A monad-like structure.
import Delay-monad.Sized.Monad
-- The "always true" predicate, □.
import Delay-monad.Sized.Always