We present an operational model O and a continuation based denotational model D for a uniform variant of PROLOG, including the cut operator. The two semantical definitions make use of higher order transformations Phi and Psi, respectively. We prove O and D equivalent in a novel way by comparing yet another pair of higher order transformations Phi~ and Psi~, that yield Phi and Psi, respectively, by application of a suitable abstraction operator.

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Erasmus School of Economics

de Bruin, A., & de Vink, E. P. (1989). Retractions in comparing PROLOG semantics. Retrieved from http://hdl.handle.net/1765/1505