Let
be a knowledge base. For a literal
a minimal proof in
is a set
such that 1.
is mentioned in
, 2.
, and 3.
is minimal wrt. set inclusion (note that
has not to be consistent). Let
be the set of all minimal proofs of
in
. Then the Pm inconsistency measure
is defined as
The Pm inconsistency measure has been proposed in [Jabbour:2013]. Note that the above definition is not the original definition but a characterization also provided in [Jabbour:2013].