Learn English – Single verb for make something equivalent

single-word-requests

Is there a single verb meaning to make something equivalent to something? I want to use this possibly existent word to express the following:

"We transformed Problem A into the following problem B, which is proved equivalent to Problem A."

Best Answer

Per the Cambridge Dictionary, to equate means:

to consider one thing to be the same as or equal to another thing.

while to equalize (UK: equalise):

to make things or people equal.

To correspond:

to be similar or the same in some way: