> A) the type inference system should assume classical logic when /\ or \/ are 
> used.

No. Actually, I've programmed (still a bit buggy) a disjunctive
normalform representation over some set (variables or whatever).
It's rather specialized, but I found it the right approach for dealing
with the conditions in the API representation.

Look for example at the condition for the export of AbelianMonoid at the
end of http://www.hemmecke.de/fricas/html/AbelianMonoidRing.html .

There are and's and or's. It's still a mess, but I would use simple
classical logic.

> B) all domains that use /\ or \/ (like varous logic and CliffordAlgebra) must 
> obey certain identities.

I'm not as ambitious as you. Just propositional calculus with the
clasical rules, i.e. ~, /\, and \/, as well as true and false, would be
enough.

I just thought there would already be something like that in FriCAS or
your recent additons.

Ralf

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