AND and OR (was Re: Glyphica Arcana Page)

Hallo!

Henrik Theiling wrote:

> Hi!
>
> Paul Bennett <paul-bennett@...> writes:
>
> > [...]
> >
> > Do you have an inclusive OR as well as an exlusive OR, i.e. a marker for
> >
> >      (A AND B) OR (A OR B)
>
> That's quite redundant and could be reduced to a simple (A OR B).
AFAIK, you need only NOT and *either* AND or (inclusive) OR.
A AND B is NOT((NOT A) OR (NOT B));
A OR B is NOT((NOT A) AND (NOT B)).

What's more, you can get along with *only one* operator, namely
either NAND or NOR.  Choosing NAND:

NOT A = A NAND A
A AND B = (A NAND B) NAND (A NAND B)
A OR B = (A NAND A) NAND (B NAND B)

I hope I haven't made a mistake.

But such a language would be rather cumbersome.

> [...]
>
> I think my Tyl Sjok is worst in this respect: it only has one
> coordination particle.  If used without anything else, it only
> indicates that no subordination/modification happens and that the two
> linked constituents are equally coordinated.  It may mean 'and' as
> well as 'or', 'xor', whatever.  For clarifying the meaning, you need
> additional words. :-)
Old Albic is more user-friendly there: it has _a_ `and',
_o_ `or (inclusive)' and _u_ `or (exclusive)', and of course
_na_ `not'.

Greetings,

Jörg.