This paper presents an integration of induction and abduction in INTHELEX,
a prototypical incremental learning system. The refinement operators perfor
m theory revision in a search space whose structure is induced by a quasi-o
rdering, derived from Plotkin's theta-subsumption, compliant with the princ
iple of Object Identity. A reduced complexity of the refinement is obtained
, without a major loss in terms of expressiveness. These inductive operator
s have been proven ideal for this search space. Abduction supports the indu
ctive operators in the completion of the incoming new observations. Experim
ents have been run on a standard dataset about family trees as well as in t
he domain of document classification to prove the effectiveness of such mul
tistrategy incremental learning system with respect to a classical batch al
gorithm.