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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."

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How would you use the word you're asking for? Could you provide a sample sentence with a blank in it? – Andrew Leach Jul 12 '14 at 18:23
I'm more familiar with 'Problem A and Problem B were known to exist; solving problem B was proved to be equivalent to solving problem A'. (Doesn't this arise with Fermat's Last?) – Edwin Ashworth Jul 12 '14 at 20:08
Just say "We proved problem A and problem B were equivalent." Do you need to use a word like "equivalentized"? – Peter Shor Aug 27 '15 at 11:56

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:

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Depending on context, normalize may also be used. – Wayfaring Stranger Jul 12 '14 at 22:33

To equalize:

  • To make uniform.
  • make equal, uniform, corresponding, or matching: let's equalize the duties among all employees in our office.


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Mathematicians use rearrange as a verb when they transform one equation into an equivalent equation.

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Thanks it is mathematics! However, a conjecture is it, rather than an equation. – kwgl Jul 12 '14 at 19:51
@kwgl In that case, reformulate might work (e.g. from Stack Exchange Mathematics: Reformulating the Goldbach conjecture in a quasi-Pythagorean form). – D Krueger Jul 13 '14 at 0:37

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