Re: Invertible nondeterminism?

From: Sebastian Fischer <>
Date: Thu, 16 Dec 2010 21:34:52 +0900

Hi Julio,

On Thu, 2010-12-16 at 13:23 +0100, Julio Mariņo wrote:
> The idea seems mathematically reasonable and reminds me to
> constructive negation in constraint logic programming.

Does constructive negation use something like the Grothendiek-group or
does the similarity not go that far? Anyway, thanks for the pointer,
I'll look into it.

> The domain-theory needed for anti-answers would be similar,
> apparently, to constructive computed answers in CLP(Herbrand) with
> equalities and disequalities, but I am being highly speculative here.

I hope to get away with a purely algebraic construction as the
Groethendiek-group is an abelian group for every underlying commutative
monoid. I intend to conclude from the commutative monoid laws that the
inversion laws hold by construction without developing a separate


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