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I've used this a lot via the RISC-V Sail model: https://github.com/riscv/sail-riscv

It's a really nice language - especially the lightweight dependent types. Basically it has dependent types for integers and bit-vector lengths so you can have some really nice guarantees. E.g. in this example https://github.com/Timmmm/sail_demo/blob/master/src/079_page... we have this function type

  val splitAccessWidths : forall 'w, 0 <= 'w . (xlenbits, int('w)) ->
    {'w0 'w1, 'w0 >= 0 & 'w1 >= 0 & 'w0 + 'w1 == 'w . (int('w0), int('w1))}
Which basically means it returns a tuple of 2 integers, and they must sum to the input integer. The type system knows this. Then when we do this:

  let (width0, width1) = splitAccessWidths(vaddr, width);
  let val0 = mem_read_contiguous(paddr0, width0);
  let val1 = mem_read_contiguous(paddr1, width1);
  val1 @ val0
The type system knows that `length(val0) + length(val1) == width`. When you concatenate them (@ is bit-vector concatenation; wouldn't have been my choice but it's heavily OCaml-inspired), the type system knows `length(val1 @ val0) == width`.

If you make a mistake and do `val1 @ val1` for example you'll get a type error.

A simpler example is https://github.com/Timmmm/sail_demo/blob/master/src/070_fanc...

The type `val count_ones : forall 'n, 'n >= 0. (bits('n)) -> range(0, 'n)` means that it's generic over any length of bit vector and the return type is an integer from 0 to the length of the bit vector.

I added it to Godbolt (slightly old version though) so you can try it out there.

It's not a general purpose language so it's really only useful for modelling hardware.

I really like the idea of this. I wonder if I can convince my work to use it for our hardware. Are things like SIMD, SIMT, and other weird formats easy to represent in this kind of language? Or should I just assume anything describable in Verilog/HDL can be described in this language.

This also brings up another question if anyone knows. Is there a term for hardware description languages similar to turning complete for programming languages, or is there a different set of common terms?

This looks and feels like "Verilog Lite."
This looks like it could help with formal verification of instruction set semantics (something that hasn't been done for x86). That would be highly interesting.