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We provide here a framework for studying Prolog programs with various built-in's thatinclude arithmetic operations, and such metalogical relations like var and ground. To thisend we propose a new, declarative semantics and prove completeness of the Prolog computationmechanism w.r.t. this semantics. We also show that this semantics is fully abstractin an appropriate sense. Finally, we provide a method for proving termination of Prologprograms with built-in's which uses this semantics. The...

A declarative approach for first-order built-in's of Prolog