Yes lenses are pairs of functions that allow bidirectional data transformations. One function acts like a getter and one function acts like a setter. The signatures of the functions are designed to compose nicely. This allows to compose complex transformations from a few simple building blocks.
In the end it is really just function composition but in a very concise and powerful way.
In your cambria example the lens is defined as yaml. So this yaml needs to be parsed and interpreted and the applied to the target data. The rules that are allowed to be used in the yaml format must be defined somewhere. With pure functional lenses the same kind of transformation rules can be defined just by function composition of similar elemental rules that are itself only pairs of functions.
To be clear, cambria is not mine
> So this yaml needs to be parsed and interpreted and the applied to the target data. The rules that are allowed to be used in the yaml format must be defined somewhere.
I wasn't trying to get into the specific technology. The Julia still needs to be parse, and while Yaml has them separate, CUE does not (which is where I write things like this and have building blocks for lenses [1], in the conceptual sense)
In the conceptual sense, or at least an example of one, lenses are about moving data between versions of a schema. It sounds like what you are describing is capable of this as well? (likely among many other things both are capable of)
[1] https://hofstadter.io/getting-started/data-layer/#checkpoint...
Yes functional lenses are very good at transforming between between schematas.
You can think of it as an functional programming based embedded domain specific language for transforming immutable data structures into each other. Sure there are other ways to do it but its like generalized map/filter/reduce class of functions vs doing the same imperatively by hand or in other ways
hmm, that makes it sound closer to CUE, where all values are immutable
CUE is in the logical family with Prolog and is not Turing Complete