Abstract
We consider a fixed point extension of the second order lambda calculus equipped with a call by value evaluation mechanism. We interpret the language in a partial cartesian closed category of “directed complete” partial equivalence relations (pers) over a domain theoretic model of a type-free, call-by-value, lambda calculus. Our main result is that the notions of “syntactic” and “semantic” convergence coincide.
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© 1993 Springer-Verlag Berlin Heidelberg
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Amadio, R.M. (1993). On the adequacy of per models. In: Borzyszkowski, A.M., Sokołowski, S. (eds) Mathematical Foundations of Computer Science 1993. MFCS 1993. Lecture Notes in Computer Science, vol 711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57182-5_14
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DOI: https://doi.org/10.1007/3-540-57182-5_14
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