On the Declarative and Procedural Semantics of Definite Metalogic Programs

We present a declarative and procedural semantics for an amalgamation of object language and metalanguage. We define the class of definite metalogic programs, based on a definite clause language, a binary demonstration predicate, and a naming scheme with both primitive and structured names. The declarative semantics is an extension of the semantics of logic programs dealing with multiple theories and names. The procedural semantics uses a resolution rule and a meta-level to object-level reflection rule.