Hi Mike
Please add this link to the list under the heading of nice loops.
The notation used in Nice Loops and SINs
http://forum.enjoysudoku.com/viewtopic.php?t=3628
denis_berthier wrote:- xyt, xyzt, nrct and nrczt chains can hardly be seen as Nice Loops, even if downgraded with "multiple inference";
they don't satisfy the major property of Nice Loops: reversibility
ronk wrote:denis_berthier wrote:- xyt, xyzt, nrct and nrczt chains can hardly be seen as Nice Loops, even if downgraded with "multiple inference";
Carcul "downgraded" NLs with "multiple inference" a long time ago.
ronk wrote:denis_berthier wrote:they don't satisfy the major property of Nice Loops: reversibility
I'd rather we leave the "reversibility" debate on the Eureka! forum.
denis_berthier wrote:"multiple inference" is often used for such a downgrading purpose. I think it should be avoided (as "bifurcation" and all other undefined terms …)
denis_berthier wrote:Anyway, it corresponds to a confusion between the way a chain rule is proven and the way a chain can be found.
ronk wrote:you delude yourself by thinking that manual solvers can find nrc(z)(t) chains without following a stream of inferences. By following that stream of inferences, solvers are effectively "proving the rule" each and every time.