ab wrote:If you approach these puzzles with nishio in your armoury (ie trying a number and seeing if it leads to a contradiction)...
That is *not* Nishio! Nishio is: "If I place the number N here, will the rest of the matching digits be placeable?" It considers a single number, ignoring the rest. It is very human implementable -- in fact, it can often be used *without pencilmarks* -- , but it doesn't come up that often and is *not* very powerful. It will not replace forcing chains, swordfish, etc and will certainly not equallize all levels of puzzles. It is an older tactic that predates most of the advanced ideas discussed in this forum.
A good definition of Nishio is
here. Astraware has an incorrect definition
here that's causing confusion. (They're definition is indistinguishable from the definition of 'guesswork' -- but they list them separately. I told them of the error months ago and they said they'd fix it the next time they updated the site, that is, don't hold your breath.)
This tactic should be part of everyone's arsenal.