Abstract

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. Keywords. metalogic, meta-programming, semantics, reflection, demo, names. Contents 1 Introduction 1 2 Metalogic Programming 2 3 Definite Metalogic Programs 5 4 Naming Relations 8 4.1 The Style of Amalgamation : : : : : : : : : : : : : : : : : : : : : : : 8 4.2 The Naming Relation for Definite Metalogic Programs : : : : : : : 8 4.2.1 Constant, Function & Predicate Symbols : : : : : : : : : : : 8 4.2.2 Names : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 9 4.2.3 Prop...

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