Re: A different definition of MINUS, Part 3



Walter Mitty wrote:
"paul c" <toledobythesea@xxxxxxxx> wrote in message news:5h83l.48993$mY6.41775@xxxxxxxxxxxxxxx

A-algebra operators, just to remind, there are fundamentally only three of those, some of the ones typically used are merely derivations of those three, you can say there are four if TCLOSE is included), that allows a language implementation that is not only effective for some purpose, but closed for the desired expressions of that language.

Are the three fundamental ones <AND> <OR> & <NOT>?
...

I believe it is arbitrary as to whether you want (<AND>, <NOT>) = <NAND> to be fundamental or (<OR>, <NOT>) = <NOR> to be fundamental. This is akin to the corresponding Boolean operators. Projection and <REMOVE> are always fundamental. TCLOSE could be fundamental too, if one desires it.


If so, is it possible to define a <NAND> such that <AND> <OR> & <NOT> can be derived from <NAND>?

as in <NOT> A = A <NAND> A

etc.?

I believe so.
.