Boolean algebra is to classical logic like what is to relevant logic?

Question

The Question:

Boolean algebra is to classical logic like what is to relevant logic?

Context:

I guess this is a terminology question, so there's not much I can add, except that I've been interested in paraconsistent logic for a long time.

Is the answer de Morgan algebra or is that something else?

Meta Question:

Is the question well-formed?

Perhaps the question ought to be something like,

Boolean algebra is to classical logic like what is to paraconsistent logic?

I don't know. But:

• If the answer to the Meta Question (MQ) is yes, then please answer the main question.
• If the answer to the MQ is no, then please feel free to tell me why and answer what I hope will be a clear intended question.
• If the answer to the MQ is nonclassical, please explain.