Torre, L.W.N. van der

clause nement re nement operators operator re nements subsumption implication px qx literal example substitution re nement operator ordering clause c nition equivalent generalization px qf x permutation search operation search space return completeness background knowledge theory power proposition question section renaming resolution specialization computer eq 4 c addition inductive article plotkin result shapiro px pf x computer science muggleton science di erence reduction equivalence classes nite chain decomposition space re nement clauses c machine intelligence equivalence algorithm machine laird approach university background knowledge relation model quasi-ordering plotkin 13 variable 2 5 c eq 3 c department px rx e 2 c reynold van der laag problem reduction c e cient induction reynolds 16 rst order clauses model inference system