The "but" is where all the difference lies though, Result (or Either or whatever you want to call it) is the reification of the sum of a return value and an error, and as such manipulable without having to add dedicated tooling… (which java didn't have either, and still does not).
Amongst other issues it's possible to pipe one through a generic wrapper without that wrapper having to care about it.
e.g. let's say you have an input collection, you map() over it, and the map callback can fail.
In Rust or Haskell you… just do that. And the caller deals with a collection of results however it wants.
In Swift, you need map to be specifically annotated in `rethrow` so it can be transparent to failure (aka can't fail if its callback can't, but can if its callback can).
In Java, you're shit out of luck and jolly well fucked, your generic map can't be generic over generic exceptions, so either it callback can't fail or you need to wrap said callback to convert the checked exception into an unchecked one, and possibly back again outside the map.
So… yeah, they're "all but isomorphic" because they're both implementations of the concept of statically checked fallibility. It's just that java's checked exceptions[0] are a bad implementation of the concept.
Put an other way, a 2018 fiesta or yaris are "all but isomorphic with" a 1960 corvair or a pinto, but you couldn't pay me to take a road trip in a corvair or a pinto.
[0] java's because someone might come up with better ones, though the well's been pretty tainted at this point
Lack of parameterisation of exception signature is not the reason why checked exceptions are a bad idea, though. Failure is a function of implementation details; runtime errors are fundamentally an abstraction violation. There's no escape.
> Lack of parameterisation of exception signature is not the reason why checked exceptions are a bad idea
It absolutely is one of the reasons why they are a bad idea, and why reified results are so much more useable and useful.
> Failure is a function of implementation details
In the original intention, that's what unchecked exceptions were for, with checked exceptions for the reporting of errors rather than failure. That's why java didn't have only checked exceptions.
Unchecked exceptions were for programmer errors, errors that could be avoided with a sufficiently careful programmer: null pointer check, a divisor not zero check, a list bounds check, etc.
Checked exceptions were for unavoidable errors. Errors that are fundamental to the operation being attempted. They usually occur because the operation interacts with the world outside the program, which means the program is subject to violations of expectations. Network errors. File not found when you try to open it - you cannot test for file existence first without a race.
The reality is that the latter kind of errors are better off as overloaded call signatures: one call variant when you care about the error and want to catch it, another variant when you don't care about specifics of the error and want the whole stack to unwind when the expectation is violated.
Neither of these approaches require checked exception signatures throughout the stack (or Result types for that matter - you can assume I also mean those, due to the isomorphism).
There's a reason .net modeled number parsing with Parse() and TryParse() instead of throwing NumberFormatException like parseInt(). It's because sometimes you care - input came from user and you need to handle it - and sometimes you don't - input came from configuration file and the stack needs to be torn down if you can't parse it.
Picture a stack that looks like this:
0: <operation that may throw exception of the checked variety>
1: <code that may be interested in handling error>
2: <code that doesn't know about implementation details>
.... could be 10, 100, 200+ methods in this stack dump
N-1: <code that doesn't know about implementation details>
N: <request handler or event loop that catches all exceptions>
The great problem with checked exceptions is the methods for stack frames 2 to N-1. Either exceptions are handled at stack entry 1, or at stack entry N. The only job of all the code between is to pass exceptions unmolested back to N.
Those calls may be dynamically bound (whether via vtables or function pointers, objects or closures) and / or dynamically linked (so unavailable to a type system at compile time). In large production programs, control flow will be dynamically determined. It's a fact of life; if it's not for testing purposes, it'll be for deployment flexibility.
I think there's value in the IO monad; in marking functions as the kind of functions that may interact with the outside world. And checked exceptions can work this way. But not unless the error type has a polymorphic storage location, and unwinding the stack is syntactically weightless. I don't ever want to have to change the signature on a dozens of methods just because there's a new implementation detail deep inside a dynamically linked abstraction.
And exception / error wrapping isn't the answer either - it's almost always a bad idea.
Semantically, returning a sum type like Result<T,E> absolutely is the same thing as exceptions (ie, it's the exception monad).
However, there's one very important language design difference between this and Java-styled checked exceptions: using sum type gives you effect polymorphism for free. This means you can write (say) a map function which says it has precisely the same exception type of its argument function, using the same machinery you're using for generics everywhere else.
This is a big from the usability side, since AFAICT it was the lack of effect polymorphism that turned people off of Java-style checked exceptions. From a language implementation standpoint, it's also nice not to have to implement type inference twice, once for return values and once for exceptions. :)
No, lack of static parameterization of the representation of failure is not the problem with checked exceptions. In fact the prison of being forced to construct a tunnel in the (static) type system to carry your error information, irrespective of how dynamic it becomes, is the torture that kills the idea. Errors are fundamentally the leaks in abstractions. They betray the implementation.
The network error that makes a mockery of pretending something is local. The dynamic link error that discloses a pluggable implementation. And all the steps between giving lie to the idea that errors should be caught and handled anywhere near their occurrence - when the only code that knows about the actual final composition is at the top of the stack, far far away, a perilous journey for a fragment of error info - unless such transport is automated, and not gated at customs, as so many checked exceptions boundaries end up being.
I'm in favour of error values for functions that return errors in normal circumstances. But they should be exceedingly easy to dispatch into an unwind mechanism, if it turns out you're not interested. Almost all of the time, the code in the middle doesn't care. Why should it pay the tariff for the transport?
> The network error that makes a mockery of pretending something is local. […] I'm in favour of error values for functions that return errors in normal circumstances.
Checked exceptions were intended for the latter, and unchecked exceptions for the latter.
Yes, chaps, that Result<T,E> type is all but isomorphic with checked exceptions, Java-style.