We prove the completeness of the combination of ordered resolution and factoring for a large class of non-liftable orderings, without the need for any additional rules like satura...
The logic of definitional reflection is extended with a theory of free equality. Based on this equality theory a sequent-style notion of the completion of a definition is motivated...
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
The paper presents a new schematization of in nite families of terms called the primal grammars, based on the notion of primitive recursive rewrite systems. This schematization is...
We define a new operation in description logics, the difference operation or subtraction operation. This operation allows to remove from a description as much as possible of the i...