diff --git a/LICENSE b/LICENSE
new file mode 100644
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/README.md b/README.md
new file mode 100644
--- /dev/null
+++ b/README.md
@@ -0,0 +1,209 @@
+# par-dual
+
+[![CI Status](https://github.com/gvolpe/par-dual/workflows/Haskell%20CI/badge.svg)](https://github.com/gvolpe/par-dual/actions)
+
+The [PureScript](https://www.purescript.org/) language defines a [Parallel](https://pursuit.purescript.org/packages/purescript-parallel/4.0.0/docs/Control.Parallel.Class#t:Parallel) typeclass in the `parallel` package. Quoting its documentation:
+
+> The `Parallel` class abstracts over monads which support parallel composition via some related `Applicative`.
+
+The same typeclass is defined in the [Scala](https://www.scala-lang.org/) language, as part of the [Cats](https://typelevel.org/cats/typeclasses/parallel.html) library.
+
+This typeclass has been controversial, in a sense, for not having strong laws. However, it has been proven to be actually useful in real-world applications.
+
+The idea of this package is to bring this power over to the Haskell language while exploring the design space to identify and define stronger laws (if possible).
+
+Originally, this idea has been described in [this blogpost](https://gvolpe.github.io/blog/parallel-typeclass-for-haskell/).
+
+## ParDual
+
+Here's the definition of the same typeclass in Haskell:
+
+```haskell
+class (Monad m, Applicative f) => ParDual f m | m -> f, f -> m where
+  parallel :: forall a . m a -> f a
+  sequential :: forall a . f a -> m a
+```
+
+I decided to call it `ParDual` instead of `Parallel`, because this *duality* doesn't always define a `sequential` and `parallel` relationship. Such is the case between `[]` and `ZipList`, as we will soon discover.
+
+It defines two functions, which are natural transformations between a `Monad m` and an `Applicative f`. It could also be seen as a typeclass version of an isomorphism such as `forall a . Iso (f a) (m a)`.
+
+The most common and useful relationships are both `Either` / `Validation` and `IO` / `Concurrently`.
+
+```haskell
+instance Semigroup e => ParDual (Validation e) (Either e) where
+  parallel   = fromEither
+  sequential = toEither
+
+instance ParDual Concurrently IO where
+  parallel   = Concurrently
+  sequential = runConcurrently
+```
+
+`Validation` comes from the [validators](https://hackage.haskell.org/package/validators) package, whereas `Concurrently` comes from the [async](https://hackage.haskell.org/package/async) package.
+
+Additionally, we can define a lot of powerful functions solely in terms of `Applicative`, `Monad`, and `ParDual`. A few other functions might require extra requirements, such as `Traversable`.
+
+### parMapN
+
+The `parMapN` set of functions are analogue to combining `<$>` and `<*>`, for any dual `Applicative`.
+
+```haskell
+parMap2
+  :: (Applicative f, Monad m, ParDual f m)
+  => m a0
+  -> m a1
+  -> (a0 -> a1 -> a)
+  -> m a
+```
+
+In this case, `parMap2` takes only two computations and a function, but you can find other versions up to `parMap6`. If there is demand, we can consider abstracting over its arity, in order to compose an arbitrary number of computations.
+
+For example, if we define a `Person` datatype with two fields:
+
+```haskell
+type Name = Refined NonEmpty String
+type Age = Refined (GreaterThan 17) Int
+
+data Person = Person
+  { personAge :: Age
+  , personName :: Name
+  } deriving Show
+```
+
+We can then validate different inputs, while accumulating errors on the left side, even when our type is `Either [String] Person`.
+
+```haskell
+mkPerson :: Int -> String -> Either [String] Person
+mkPerson a n = parMap2 (ref a) (ref n) Person
+```
+
+Where `ref` is a generic function that converts `RefineException`s to `[String]`:
+
+```haskell
+ref :: Predicate p x => x -> Either [String] (Refined p x)
+ref x = left (\e -> [show e]) (refine x)
+```
+
+In case of two invalid inputs, we will get as a result a list of validation errors:
+
+```haskell
+mkPerson 10 "" == Left ["error 1", "error 2"]
+```
+
+If `parMapN` didn't exist, we could do the same by manually converting between `Either` and `Validation` (which is exactly what `parMapN` does via the `ParDual` class).
+
+```haskell
+mkPerson :: Int -> String -> Either [String] Person
+mkPerson a n = toEither $ Person <$> fromEither (ref a) <*> fromEither (ref n)
+```
+
+Though, we can see how cumbersome and boilerplatey it gets.
+
+### parTraverse
+
+Another great application of the `ParDual` class is the definition of a `traverse` function that takes a `Monad` and a `Traversable t`, but that operates over its dual `Applicative`, and at the end it converts back to this `Monad`.
+
+```haskell
+parTraverse
+  :: (Traversable t, Applicative f, Monad m, ParDual f m)
+  => (a -> m b)
+  -> t a
+  -> m (t b)
+```
+
+The type signature is exactly the same as `traverse`, except the constraints are different.
+
+We can appreciate its usability by looking at some examples. Here's one with `Either`:
+
+```haskell
+f :: Int -> Either [String] Int
+f n = Left [show n]
+
+traverse f [1..5] == Left ["1"]
+parTraverse f [1..5] == Left ["1","2","3","4","5"]
+```
+
+Below there is another one with `IO`:
+
+```haskell
+randomDelay :: IO ()
+randomDelay = do
+  r <- randomRIO (1, 10)
+  threadDelay (r * 500000)
+
+traverseIO :: IO ()
+traverseIO = traverse_ (\n -> randomDelay >> print n) [1 .. 10]
+
+parTraverseIO :: IO ()
+parTraverseIO = parTraverse_ (\n -> randomDelay >> print n) [1 .. 10]
+```
+
+The `traverse` version prints out numbers from 1 to 10 in sequence, while waiting for every random delay. So the output is pretty much `1 2 3 4 5 6 7 8 9 10`.
+
+The `parTraverse` version has a non-deterministic output, since it goes through `Concurrently` (`IO`'s dual). It is exactly what you would expect while using [mapConcurrently](https://hackage.haskell.org/package/async-2.2.2/docs/Control-Concurrent-Async.html#v:mapConcurrently). One possible output is `5 10 6 1 3 2 9 4 7 8`.
+
+### ZipList
+
+The dual `Applicative` instance of `[]` is the one defined by `ZipList`, which doesn't have anything to do with parallelism.
+
+```haskell
+instance ParDual ZipList [] where
+  parallel   = ZipList
+  sequential = getZipList
+```
+
+Let's have a look at the examples shown below.
+
+```haskell
+((+) <$> [1..5] <*> [6..10]) == [7,8,9,10,11,8,9,10,11,12,9,10,11,12,13,10,11,12,13,14,11,12,13,14,15]
+
+parMap2 [1..5] [6..10] (+) == [7,9,11,13,15]
+```
+
+The standard version iterates over both lists "sequentially". That is, it iterates over the first one, and then over the second one, returning the cartesian product of both lists.
+
+Conversely, `ZipList`s only return the sum of the current elements of both lists such as `1 + 6`, `2 + 7`, and so on. It iterates over both lists in "parallel", effectively traversing both at once.
+
+### parBitraverse
+
+Operates over any `Bitraversable` such as `Either` or `(,,)`.
+
+```haskell
+res1 = [("ba",'2','T'),("ba",'2','r'),("ba",'2','u'),("ba",'2','e'),("ba",'4','T'),("ba",'4','r'),("ba",'4','u'),("ba",'4','e')]
+
+(bitraverse show show ("ba", 24, True)) == res1
+```
+
+The standard `bitraverse` for `(String, Int, Bool)` traverses over the second value and then over the third value, combining the results on each iteration.
+
+```haskell
+(parBitraverse show show ("ba", 24, True)) == [("ba",'2','T'),("ba",'4','r')]
+```
+
+The dual variant traverses all the values at the same time, terminating as soon as either value is empty.
+
+## Test suite
+
+The test suite property-checks the functions defined in `ParDual` applied to different types of values.
+
+```
+$ nix-shell --run 'cabal new-run par-dual-tests'
+━━━ Main ━━━
+  ✓ prop_parMap2_on_success passed 100 tests.
+  ✓ prop_parMap2_accumulates_errors passed 100 tests.
+  ✓ prop_parTraverse_accumulates_errors passed 100 tests.
+  ✓ prop_parTraverse_io_is_concurrent passed 10 tests.
+  ✓ prop_parMap2_on_lists passed 100 tests.
+  ✓ prop_parBitraverse passed 100 tests.
+  ✓ 6 succeeded.
+```
+
+## Publishing
+
+Generating documentation and tarball file to upload.
+
+```
+$ cabal new-haddock --haddock-for-hackage --enable-doc
+$ cabal upload -d dist-newstyle/par-dual-0.1.0.0-docs.tar.gz
+$ cabal new-sdist
diff --git a/Setup.hs b/Setup.hs
new file mode 100644
--- /dev/null
+++ b/Setup.hs
@@ -0,0 +1,2 @@
+import Distribution.Simple
+main = defaultMain
diff --git a/par-dual.cabal b/par-dual.cabal
new file mode 100644
--- /dev/null
+++ b/par-dual.cabal
@@ -0,0 +1,38 @@
+cabal-version:       2.4
+
+name:                par-dual
+version:             0.1.0.0
+synopsis:            ParDual class for Parallel <-> Sequential
+description:         Defines a ParDual class for a Parallel <-> Sequential relationship
+homepage:            https://github.com/gvolpe/par-dual
+bug-reports:         https://github.com/gvolpe/par-dual/issues
+license:             Apache-2.0
+license-file:        LICENSE
+category:            Library
+author:              Gabriel Volpe
+copyright:           2020 - Gabriel Volpe
+maintainer:          volpegabriel@gmail.com
+build-type:          Simple
+extra-source-files:  README.md
+
+library
+  exposed-modules:     Control.ParDual.Class
+  build-depends:       base                   >= 4.13.0 && < 4.14
+                     , async                  >= 2.2.2 && < 2.3
+                     , validators             >= 0.0.1 && < 0.1
+  hs-source-dirs:      src
+  default-language:    Haskell2010
+  ghc-options:         -Wall
+
+test-Suite par-dual-tests
+  type:                exitcode-stdio-1.0
+  main-is:             Main.hs
+  hs-source-dirs:      test
+  build-depends:       base
+                     , hedgehog
+                     , par-dual
+                     , refined
+                     , template-haskell
+                     , validators
+  default-language:    Haskell2010
+  ghc-options:         -Wall -threaded -with-rtsopts -N
diff --git a/src/Control/ParDual/Class.hs b/src/Control/ParDual/Class.hs
new file mode 100644
--- /dev/null
+++ b/src/Control/ParDual/Class.hs
@@ -0,0 +1,178 @@
+{-# LANGUAGE FunctionalDependencies, RankNTypes, TypeOperators #-}
+
+{-|
+Module      : Control.ParDual.Class
+Description : Definition of the 'ParDual' class and its functions.
+Copyright   : (c) Gabriel Volpe, 2020
+License     : Apache-2.0
+Maintainer  : volpegabriel@gmail.com
+Stability   : experimental
+
+You can find here functions such as 'parMap2', 'parTraverse', 'parBitraverse', etc.
+-}
+module Control.ParDual.Class where
+
+import           Control.Applicative            ( ZipList(..) )
+import           Control.Concurrent.Async       ( Concurrently(..) )
+import           Data.Bitraversable             ( Bitraversable
+                                                , bitraverse
+                                                )
+import           Data.Functor                   ( void )
+import           Data.Validation                ( Validation
+                                                , toEither
+                                                , fromEither
+                                                )
+
+{- | The ParDual class abstracts over 'Monad's that have a dual
+'Applicative' instance that acts in a different useful way.
+
+E.g., the duality between 'Either' and 'Validation'. As well
+as the duality between 'IO' and 'Concurrently'.
+
+It can also be seen as an isomorphism defined at the class level.
+-}
+class (Monad m, Applicative f) => ParDual f m | m -> f, f -> m where
+  {- | A natural transformation from 'm' to 'f'
+  -}
+  parallel :: forall a . m a -> f a
+
+  {- | A natural transformation from 'f' to 'm'
+  -}
+  sequential :: forall a . f a -> m a
+
+  {- |
+  It is the analogue to using '<$>' and '<*>' for the dual
+  'Applicative' of the current 'Monad', as defined by the
+  relationship defined by the 'ParDual' instance.
+  -}
+  parMap2 :: m a0 -> m a1 -> (a0 -> a1 -> a) -> m a
+  parMap2 ma0 ma1 f = sequential $ f
+    <$> parallel ma0
+    <*> parallel ma1
+
+  {- |
+  It is the analogue to using '<$>' and '<*>' for the dual
+  'Applicative' of the current 'Monad', as defined by the
+  relationship defined by the 'ParDual' instance.
+  -}
+  parMap3 :: m a0 -> m a1 -> m a2 -> (a0 -> a1 -> a2 -> a) -> m a
+  parMap3 ma0 ma1 ma2 f = sequential $ f
+    <$> parallel ma0
+    <*> parallel ma1
+    <*> parallel ma2
+
+  {- |
+  It is the analogue to using '<$>' and '<*>' for the dual
+  'Applicative' of the current 'Monad', as defined by the
+  relationship defined by the 'ParDual' instance.
+  -}
+  parMap4 :: m a0 -> m a1 -> m a2 -> m a3 -> (a0 -> a1 -> a2 -> a3 -> a) -> m a
+  parMap4 ma0 ma1 ma2 ma3 f = sequential $ f
+    <$> parallel ma0
+    <*> parallel ma1
+    <*> parallel ma2
+    <*> parallel ma3
+
+  {- |
+  It is the analogue to using '<$>' and '<*>' for the dual
+  'Applicative' of the current 'Monad', as defined by the
+  relationship defined by the 'ParDual' instance.
+  -}
+  parMap5 :: m a0 -> m a1 -> m a2 -> m a3 -> m a4 -> (a0 -> a1 -> a2 -> a3 -> a4 -> a) -> m a
+  parMap5 ma0 ma1 ma2 ma3 ma4 f = sequential $ f
+    <$> parallel ma0
+    <*> parallel ma1
+    <*> parallel ma2
+    <*> parallel ma3
+    <*> parallel ma4
+
+  {- |
+  It is the analogue to using '<$>' and '<*>' for the dual
+  'Applicative' of the current 'Monad', as defined by the
+  relationship defined by the 'ParDual' instance.
+  -}
+  parMap6 :: m a0 -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> (a0 -> a1 -> a2 -> a3 -> a4 -> a5 -> a) -> m a
+  parMap6 ma0 ma1 ma2 ma3 ma4 ma5 f = sequential $ f
+    <$> parallel ma0
+    <*> parallel ma1
+    <*> parallel ma2
+    <*> parallel ma3
+    <*> parallel ma4
+    <*> parallel ma5
+
+  {- |
+  Same as 'traverse', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parTraverse :: Traversable t => (a -> m b) -> t a -> m (t b)
+  parTraverse f ta =
+    let g a = parallel (f a)
+        res = sequenceA $ fmap g ta
+    in  sequential res
+
+  {- |
+  Same as 'Data.Foldable.traverse_', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parTraverse_ :: Traversable t => (a -> m b) -> t a -> m ()
+  parTraverse_ f = void . parTraverse f
+
+  {- |
+  Same as 'sequence', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parSequence :: Traversable t => t (m a) -> m (t a)
+  parSequence = parTraverse id
+
+  {- |
+  Same as 'sequence_', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parSequence_ :: Traversable t => t (m a) -> m ()
+  parSequence_ = void . parSequence
+
+  {- |
+  Same as '*>', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parProductR :: m a -> m b -> m b
+  parProductR ma mb = parMap2 ma mb (\_ b -> b)
+
+  {- |
+  Same as '<*', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parProductL :: m a -> m b -> m a
+  parProductL ma mb = parMap2 ma mb const
+
+  {- |
+  Same as 'bitraverse', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parBitraverse :: Bitraversable t => (a -> m c) -> (b -> m d) -> t a b -> m (t c d)
+  parBitraverse ma mb tab =
+    let fa  = (\a -> parallel (ma a))
+        fb  = (\b -> parallel (mb b))
+        res = bitraverse fa fb tab
+    in  sequential res
+
+  {- |
+  Same as 'Data.Traversable.bisequence', except it uses the dual 'Applicative' of
+  the current 'Monad', as defined by the 'ParDual' relationship.
+  -}
+  parBisequence :: Bitraversable t => t (m a) (m b) -> m (t a b)
+  parBisequence = parBitraverse id id
+
+--------------------- Instances ----------------------------
+
+instance Semigroup e => ParDual (Validation e) (Either e) where
+  parallel   = fromEither
+  sequential = toEither
+
+instance ParDual Concurrently IO where
+  parallel   = Concurrently
+  sequential = runConcurrently
+
+instance ParDual ZipList [] where
+  parallel   = ZipList
+  sequential = getZipList
diff --git a/test/Main.hs b/test/Main.hs
new file mode 100644
--- /dev/null
+++ b/test/Main.hs
@@ -0,0 +1,132 @@
+{-# LANGUAGE DataKinds, OverloadedStrings, TemplateHaskell #-}
+
+module Main where
+
+import           Control.Arrow                  ( left )
+import           Control.Concurrent             ( threadDelay )
+import           Control.ParDual.Class
+import           Control.Monad                  ( unless )
+import           Data.Bitraversable             ( bitraverse )
+import           Data.Foldable                  ( traverse_ )
+import           Data.IORef
+import           Data.Validation                ( fromEither
+                                                , toEither
+                                                )
+import           Hedgehog
+import qualified Hedgehog.Gen                  as Gen
+import qualified Hedgehog.Range                as Range
+import           Refined
+import           System.Exit                    ( exitFailure )
+
+main :: IO ()
+main = do
+  results <- sequence [checkParallel dualTests]
+  unless (and results) exitFailure
+
+dualTests :: Group
+dualTests = $$(discover)
+
+prop_parMap2_on_success :: Property
+prop_parMap2_on_success = property $ do
+  a <- forAll $ Gen.int (Range.linear 18 100)
+  n <- forAll $ Gen.list (Range.linear 1 50) Gen.alpha
+  let result   = parMap2 (ref a) (ref n) Person
+      expected = Person <$> ref a <*> ref n
+  result === expected
+
+prop_parMap2_accumulates_errors :: Property
+prop_parMap2_accumulates_errors = property $ do
+  a <- forAll $ Gen.int (Range.linear 0 17)
+  n <- forAll $ Gen.list (Range.linear 0 0) Gen.alpha
+  let
+    res1 = parMap2 (ref a) (ref n) Person
+    res2 = Person <$> ref a <*> ref n
+    exp1 = Left
+      [ "The predicate (GreaterThan 17) does not hold: \n  Value is not greater than 17"
+      , "The predicate (SizeGreaterThan 0) does not hold: \n  Size of Foldable is not greater than 0\n  Size is: 0"
+      ]
+    exp2 = left (take 1) exp1
+  res1 === exp1
+  res2 === exp2
+
+prop_parTraverse_accumulates_errors :: Property
+prop_parTraverse_accumulates_errors = property $ do
+  xs <- forAll $ Gen.list (Range.linear 1 10) (Gen.int (Range.linear 1 10))
+  let f :: Int -> Either [String] Int
+      f n = Left [show n]
+      res1 = parTraverse f xs
+      res2 = traverse f xs
+      exp1 = Left (show <$> xs)
+      exp2 = Left (take 1 $ show <$> xs)
+  res1 === exp1
+  res2 === exp2
+
+-- This one is tricky to test but this seems good enough for now
+prop_parTraverse_io_is_concurrent :: Property
+prop_parTraverse_io_is_concurrent = withTests (10 :: TestLimit) $ property $ do
+  xs <- forAll $ Gen.list (Range.linear 15 25) (Gen.int (Range.linear 1 10))
+  let f r n = threadDelay (1 * 3000) >> atomicModifyIORef r (\x -> (n : x, n))
+  ref1 <- evalIO $ newIORef [] :: PropertyT IO (IORef [Int])
+  ref2 <- evalIO $ newIORef [] :: PropertyT IO (IORef [Int])
+  evalIO $ parTraverse_ (f ref1) xs
+  evalIO $ traverse_ (f ref2) xs
+  res1 <- evalIO $ readIORef ref1
+  res2 <- evalIO $ readIORef ref2
+  -- Avoid cases where all elements are the same (could prob. be done in a better way)
+  let exp1 = if and (fmap (== head xs) (tail xs)) then [] else reverse xs
+  res1 /== exp1
+  res2 === reverse xs
+
+prop_parMap2_on_lists :: Property
+prop_parMap2_on_lists = property $ do
+  xs <- forAll $ Gen.constant [1 .. 5] :: PropertyT IO [Int]
+  ys <- forAll $ Gen.constant [6 .. 10] :: PropertyT IO [Int]
+  let res1 = parMap2 xs ys (+)
+      res2 = (+) <$> xs <*> ys
+      exp1 = [7, 9, 11, 13, 15]
+      exp2 = [7 .. 11] ++ [8 .. 12] ++ [9 .. 13] ++ [10 .. 14] ++ [11 .. 15]
+  res1 === exp1
+  res2 === exp2
+
+prop_parBitraverse :: Property
+prop_parBitraverse = property $ do
+  a <- forAll $ Gen.list (Range.linear 5 10) Gen.alpha
+  b <- forAll $ Gen.int (Range.linear 5 10)
+  c <- forAll Gen.bool
+  let res1 = parBitraverse show show (a, b, c)
+      res2 = bitraverse show show (a, b, c)
+  length res1 === min (length $ show b) (length $ show c)
+  length res2 === length (show b) * length (show c)
+
+-------------- Datatypes -------------------------
+
+type Name = Refined NonEmpty String
+type Age = Refined (GreaterThan 17) Int
+
+data Person = Person
+  { personAge :: Age
+  , personName :: Name
+  } deriving (Eq, Show)
+
+-------------- Sequential Validation -------------
+
+mkPersonSeq :: Int -> String -> Either RefineException Person
+mkPersonSeq a n = do
+  age  <- refine a
+  name <- refine n
+  return $ Person age name
+
+-------------- Parallel Validation (manually) -------------------
+
+type Eff a = Either [String] a
+
+ref :: Predicate p x => x -> Eff (Refined p x)
+ref x = left (\e -> [show e]) (refine x)
+
+mkPerson :: Int -> String -> Eff Person
+mkPerson a n = toEither $ Person <$> fromEither (ref a) <*> fromEither (ref n)
+
+-------------- Parallel Validation -------------
+
+makePerson :: Int -> String -> Eff Person
+makePerson a n = parMap2 (ref a) (ref n) Person
