  Inspired by the connection between the Dodgson's condensation algorithm and
Hirota's difference equation, we consider condensation algorithms for Pfaffians
from the perspectives of discrete integrable systems. The discretisation of
Pfaffian elements demonstrate its effectiveness to the Pfaffian
$\tau$-functions and discrete integrable systems. The free parameter in the
discretisation allows us in particular to obtain explicit, one-parameter
condensation algorithms for the Pfaffians.
