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AND and OR (was Re: Glyphica Arcana Page)

From:Jörg Rhiemeier <joerg_rhiemeier@...>
Date:Wednesday, December 21, 2005, 20:10

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.