Theta-Subsumption

Description:

The θ-subsumtion is a correct, but incomplete inference operator for clauses with the advantage of being feasible, while correct and complete inference operators in full first order logic are known to be algorithmically intractable.

  • A clause C1 θ-subsumes another clause C2, if and only if a substitution θ exists, such that C1θ ⊆ C2.
  • If C1 θ-subsumes C2 then C1 implies C2.
Θ-subsumption may also be used for quasi-ordering the hypothesis language of clauses.