To discriminate among all possible diagnoses using Hou's theory of measurem
ent in diagnosis from first principles [5], one has to derive all minimal c
onflict sets from a known conflict set. However, the result derived from Ho
u's method depends on the order of node generation in CS-trees. We develop
a derivation method with mark set to overcome this drawback of Hou's method
, We also show that our method is more efficient in the sense that no redun
dant tests have to be done, An enhancement to our method with the aid of ex
tra information is presented. Finally, a discussion on top-down and bottom-
up derivations is given.