set builder notation for relational division

From: Marshall <marshall.spight_at_gmail.com>
Date: 13 May 2007 09:18:42 -0700
Message-ID: <1179073122.442120.70250_at_u30g2000hsc.googlegroups.com>



I was trying to come up with a set builder notation description of relational division. I didn't like what I had, so I went agoogling.

I found this:

A(a,b)
B(b)

A / B = {(a) | exists (a, b) in A forall (b) in B}

If we want to generalize that, we could say

A(a,b)
B(b,c)

A / B = {(a, c) | exists (a, b) in A forall (b, c) in B}

Yes? No? Anyone have a formula they like better?

Marshall Received on Sun May 13 2007 - 18:18:42 CEST

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