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arXiv · 2212.11147

Extended Addressing Machines for PCF, with Explicit Substitutions

Benedetto Intrigila·Giulio Manzonetto·Nicolas Munnich
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Abstract

Addressing machines have been introduced as a formalism to construct models of the pure, untyped lambda-calculus. We extend the syntax of their programs by adding instructions for executing arithmetic operations on natural numbers, and introduce a reflection principle allowing certain machines to access their own address and perform recursive calls. We prove that the resulting extended addressing machines naturally model a weak call-by-name PCF with explicit substitutions. Finally, we show that they are also well-suited for representing regular PCF programs (closed terms) computing natural numbers.

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Benedetto Intrigila, Giulio Manzonetto, Nicolas Munnich. 2022-12-09. Extended Addressing Machines for PCF, with Explicit Substitutions. https://doi.org/10.46298/entics.10533

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