Questions tagged [monad]
In functional programming, a monad is an abstraction that allows structuring programs generically. Supporting languages may use monads to abstract away boilerplate code needed by the program logic. Monads achieve this by providing their own data type (a particular type for each type of monad).
6
questions
2
votes
1
answer
49
views
Are Haskell monads stronger than strong monads?
Haskell's monads are usually considered to mean strong monads in category theory, but it seems like the former is a bit stronger than the latter. With strong monads, you have a Kleisli extension ...
- 123
2
votes
1
answer
38
views
What is the object translating part of a monadic endofunctor?
A monad is an endofunctor $T:C\rightarrow C$ with natural transformations $\eta:id_C\rightarrow T$ and $\mu:T^2\rightarrow T$.
Being natural transformations mean that $$T(f)\circ \eta_A = \eta_B\circ ...
- 359
1
vote
2
answers
50
views
Translation between unit/bind and map/join in monads
Is there a translation between unit/bind and fmap/join in monads?
https://stackoverflow.com/questions/34398239/with-monads-can-join-be-defined-in-terms-of-bind
gives a partial one:
bind f m = join (...
- 359
1
vote
1
answer
68
views
Are monads a unification of a number of computer science concepts?
The following commentator writes:
Monads are a unification of a bunch of computer stuff, including sequencing, IO, non-determinism, state, concurrency and exceptions. When I say "unification&...
- 1,199
1
vote
0
answers
32
views
Mathematical explanation of the usage of monads to wrap data for avoiding errors
For the past two days I have been on a question to understand monads in the context of Haskell. A nice explanation I found is by Graham Hutton on the Computerphile channel see here. This explanation ...
0
votes
0
answers
19
views
Beta reduction and sequence of effect
The famous Monad is well known for handling effect in a functionally pure manner (e.g. IO Monad).
On the other hand, in some application, runtime performance is the utmost interest and the compile ...
- 101