An adequate operational semantics of sharing in lazy evaluation

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Abstract

We present Lazy-PCF+Shar, an extension of PCF, that deals with lazy evaluation and explicit substitutions to model the sharing engendered by the lazy evaluation strategy. We present a natural operational semantics for Lazy-PCF+Shar and show that it is equivalent to the standard fixed-point semantics. Sharing is modeled by explicit substitutions, which require a great deal of careful attention in the proof.

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Purushothaman, S., & Seaman, J. (1992). An adequate operational semantics of sharing in lazy evaluation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 582 LNCS, pp. 435–450). Springer Verlag. https://doi.org/10.1007/3-540-55253-7_26

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