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Minus 1a5aa4f1c08b567c9107cba729de26bc87c17ab2b2f690eb45059193a1d6f587 From Operational Semantics to Domain Theory
Mason, I. A. and Smith, S. F. and Talcott, C. L. - 1996

This paper builds domain theoretic concepts upon an operational foundation. The basic operational theory consists of a single step reduction system from which an operational ordering and equivalence on programs are defined. The theory is then extended to include concepts from domain theory, including the notions of directed set, least upper bound, complete partial order, monotonicity, continuity, finite element, omega-algebraicity, full abstraction, and least fixed point properties. We conclude by using these concepts to construct a (strongly) fully abstract continuous model for our language. In addition we generalize a result of Milner and prove the uniqueness of such models.

Keywords: Operational semantics, domain theory, Milner’s theorem