gcd 0 0 = 0
Alan Bawden
Alan@LCS.MIT.EDU
Mon, 17 Dec 2001 13:45:04 -0500 (EST)
From: Lars Henrik Mathiesen <thorinn@diku.dk>
Date: 17 Dec 2001 14:50:21 -0000
...
In case it isn't clear already, these definitions make a lattice on
the positive integers, with divides ~ leq, gcd ~ meet and lcm ~ join,
using the report's definitions of gcd and lcm.
Indeed, that's a nice way of putting it. How about if the report just
says:
In order to make the non-negative integers into a lattice under `gcd'
and `lcm', we define `gcd 0 0 = 0'.